(i) Find the covariance of X and Y
Q: y" +y = u(t- 4); y(0) = 0, y'(0) = 1
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Q: ey+y°.
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Q: () Find the covariance of X and Y
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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = (x + y)/(xy - 1)
A: We first find the partial derivative with respect to x. Use the quotient rule.
Q: Find y' and y". y x In(x) у" y'"
A: To find the first and second derivatives of the given function
Q: c) x + w²/x = t, x(0) = 0 and x(0) = 0
A: The given differential equation is, x''+ωn2x=t where x0=0 and x'0=0. It is required to find the…
Q: What is the relationship between ||v ||and v · v?
A: v·v=v·v·cos0 ∵u·v=u·v·cosθ, where θ is the angle between u & v.=v2·1=v2
Q: y = C,e¬x + C2e¯-2x + x y = C, + C2e³x
A: See the details solution in below
Q: a) -x +y - z = 0 2y + z = 3 z = 0
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: f (x, y) x² + y² + 1
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Q: XI. 6 F dF where F = (x³ – y, x + e') and C is triangle with vertices (0,0), (3,0), (4,2).
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Q: C=X+Xyz for y
A: Given, w = x + xyz
Q: z(y" – y') – (y" – y) = 0, 1 y(0) = 1, y'(0) = 3.
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Q: (b) (x*y2,1/3(xy) -1/3 X + 0, y # 0
A: We will simplify the expressions by writing the exponents with equating the bases.
Q: y' = xy; when x=3, y=1 %3D
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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = xy
A: ƒ(x, y) = xy δƒ/δx = ? δƒ/δy = ? While calculating δƒ/δx, y is considered as constant. While…
Q: What is the solution of the given ODE * xy' + y = √x
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Q: Solve the defferential y(x)
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Q: f (x, y) = (x - 3)² + (y - 2)²
A: Given: f(x,y)=(x-3)2+(y-2)2 starting at x=1 and y=1
Q: -) f (æ, y) = xe"
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Q: y" + 2y' + 2y = g(t), y(0) = 8, y' (0) = 5 %3D
A: Given, y''+2y'+2y=g(t), y(0)=8, y'(0)=5Where…
Q: 6 - 7z + 5) dz Find Preview +C
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Q: Find E(X) E(Y) covariance(X,Y) var(X+Y) X 6 X 2 Y =10 0.3 0.3 Y = 5 0.4
A: We want to find E(X), E(Y), V(X), V(Y) and Cov(X,Y)
Q: y f(x, y) = x²e" -1 3 1.3 2.1 3.
A: put the given values of x and y detailed solution is given below
Q: sーy-xゴャx |
A: Given that y dy/dx -xy^2+x=0
Q: let r (t) = The y component of r' (5)
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Q: W= x"+y+Z",
A: This is a problem of partial differentiation. Based on the general formula of PDE we will solve the…
Q: of xy subject to x +y =
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Q: y"(x)-4y'(x)+4y(x) = eax,a E R %3D
A: Given Let’s plug y'=D Hence, Auxiliary equation becomes Complimentary function will be
Q: ||y|| = sup |(x, y) = sup F TEE IEE ||||
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Q: e) u(x,y) =/(x2 – y²) %3D
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Q: y" – y' – 2y = x + e*
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Q: uO The correlation coefficent is found to be 0.567. We can say that the relationshp between the high…
A: The obtained correlation coefficient between high daily temperature and number of traffic accidents…
Q: y"' + 2y" + y' = e*, y(0) = 0, y'(0) = 1, y"(0) = -1
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Q: X(t, X) = e
A: From the available information, The probability density function is, The total probability density…
Q: xy' + y = √x
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Q: // (x+ y) dA, A = {(x; y) E R² : x € [0, 1), y E [2x, 2V]}; A
A: To evaluate the given double integral
Q: a. x² + y² = x +y b. x² +xy³ = x c. y = sec(x +y)
A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…
Q: Cov(x,y)=v(y) if x=y True False оо
A: Given problem Given that Cov( x,y ) = v( y ) if x = y Ans) True First Option
Q: 4. Determin dx x2 + x
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Q: f(x,y) = x² + y², (x – 1)² + 4y² = 4 %3D
A: Given that f(x,y)=x2+y2, g(x,y)=x-12+4y2-4 Then it is known that ∇f=λ∇g. ∇f=2x,2y and ∇g=2(x-1),8y…
Q: Find: Ex, fxx , fy, fyy, fxy, Fyx x +y F(X, y) = X+y x4-1
A: Given that: f(x, y)=x+yxy-1
Q: f(x, y) = e* +xIny+ylnx
A: This question involves partial differentiation Solved below
Q: Find: Wx,Wy Wxy Wxy,Wxx Wyy W=xY+Cosy+ylnx
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Q: What is the relationship between X and Y when V(X+Y) < V(X) + V(Y)?
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Q: (a) f(x, y) = 1 √y - x² (b) g(x, y) = 9x² - y² (c) h(x, y) = 4√√x² + y²
A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…
Q: Vy. (ii) SS x²y dA , E:x = y² and x =
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Q: y"+3y"- 3yl-y=x+e" -y%3Dx+e
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- Find the correlations in the constants a, ß, y, 8, e, and such that the equation (ax² + 5xy + ey²) d x+ (ßx² + yxy + ôy²) dy = 0(1) O Find the covariance of Y,, Y, and Cy,y,Let X and Y denote be as follows: E(X) = 10, E(X2) = 125, E(Y) = 20, Var(Y) =100 , and Var(X+Y) = 155. Let W = 2X-Y and let T = 4Y-3X. Find the covariance of W and T.
- Find the best approximation to a = (3,-7, 2, 3) = (2,-1.-3, 1) and = (1, 1,0,-1). as a linear combination of %3D 4.The matrix that projects onto the line y = -x is X 0.6 0.8 0.8 -0.6Solve the problem. The data in the table represent the amount of raw material (in tons) put into an injection molding machine each day (x), and the amount of scrap plastic (in tons) that is collected from the machine every four weeks (y). Also shown below are the outputs from two different statistical technologies (TI-83/84 Calculator and Excel). A scatterplot of the data confirms that there is a linear association. Report the equation for predicting scrap from raw material using words such as scrap, not x and y. State the slope and intercept of the prediction equation. Round all calculations to the nearest hundredth. X y 2.71 3.61 2.33 2.80 2.33 2.77 2.21 2.34 2.11 2.15 2.08 2.06 1.98 1.95 1.84 1.84 2.02 1.95 1.73 1.68 LinReg y=a+bx a = -2.376991175 b=2.192699333 r² =.9806834986 P = .9902946524 Intercept X Variable 1 Coefficients -2.376991175 2.192699333 scrap = 2.19 -2.38(raw material); slope = 2.19 and the intercept is -2.38., scrap = -2.38 + 2.19(raw material); slope = -2.38 and…
- A chemistry experiment is performed measuring the solubility of potassium chloride (KCl) in water at different temperatures. The goal was to determine if there is a linear relationship between the temperature of the water and how much KCl can dissolve, measured as grams per 100 milliliter (g/100mL). After the experiments were performed, the following data was collected with temperature being the independent x-variable and solubility being the dependent y-variable: Temperature (°C) x Solubility (g/100mL) y 10 31 20 33 30 37 40 41 50 42 Based on the data given for temperature and solubility of KCl and without doing any math yet, which of the following do you predict would best describe the relationship between these variables? A positive linear relationship (r close to 1) A positive linear relationship (r close to -1) A negative linear relationship (r close to 1) A negative linear relationship (r close to -1)…Given that v = (2,3, 4), vị = (1,0, 1), v2 = (0,–1,1), v3 = (-1,–1,1). %3D Express v as a linear combination of v1, v2, v3 .#3. Let X, Y and Z be random variables with V(X) = 8, V(Y) = 14, V(Z) = 10, Cov(X,Y) = 3, and Cov(Y.Z) %3D %3D = -2. Suppose that X and Z are independent. Let W = X + 4Y - 8Z + 4. (a)Find V(W) using matrices. (b)Find the correlation coefficient of X and W.
- Suppose that we performed an estimate of the determinants of players' salaries for the 2018 NFL season. The R? = 0.65 for the regression that included 3 explanatory variables. Imagine that we decided to add an additional explanatory variable (like the players' previous playoff experience). When we run the regression with the additional explanatory variable the R2 = 0.78 is for the regression. We can interpret this as the additional explanatory variable is significant at the 5% level. the additional explanatory variable has lowered the explained sum of squares measure in the regression. the additional explanatory variable is related to player salary and does belong in the regression. the additional explanatory variable is not related to player salary and does not belong in the regression..2 dt t2 + 1An educator wants to see the number of absences(X) a student in her class has affects the Student’s final GPA(Y)a) Find Correlation coefficient b) Draw a Scatter plot c) Find the Regression equation of Y on X d) Predict the student’s GPA when X = 6 x 4 5 2 8 3 10 7 y 2.5 2.3 4 2.1 3.3 1.7 2.3