= Find two unit vectors orthogonal to both u = (3, -3, - 4) and 7 values (no decimals). Separate the vectors with a comma. unit vectors = (0, 4, 3). Give exact

Q: lim X> +∞o ( √9x² -5x+1 + 3x

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Q: 3) Consider the following functions: a) f(x,y)=xy. b) f(x,y)=x²y² c) f(x,y)=lnx+lny

A: As per our guidelines we are allowed to solve only 3 subparts.   Given a) fx,y=xy b) fx,y=x2y2 c)…

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Q: 2 cos 9. S X 4 dx X sin 4

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Q: 1. Show that In(x²+2y²-1) lim (x,y)-(0,1) e2x² + y²-2 does not exist. 2. Let k(x, y) = e4x cos(x +…

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Q: Find the Taylor polynomials of orders n = 0.1,2,3. and 4 about 2 = 20 and then find the nth Taylor…

A: Let the given function be fx=ex.We need to find its taylor series around the point x0=3.

Q: The total cost (in dollars) of producing x food processors is C(x) = 2500 +90x-0.3x². (A) Find the…

A: The given cost function is: C(x)=2500+90x-0.3x2

Q: 7. Use Midpoint approximation with n = 6 equal subintervals to approximate the following. 1 ln(x…

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Q: 5. Use derivative rules to find the derivative of h(a)=3f(x) - 2g(x) - ² f(x) + Show steps fo 6.…

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Q: c) Ok= d) Ok= (144 +¹+4) 3/2 48 |t| (144 +¹+4)³/² 48 t 3/2 (576 +²+4)³/²

A: solution is given below...

Q: Suppose y = f(x) is the equation of a curve which lies between the curves y = x² + 3 and y = 621…

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Q: The function f' defined by the formula f(x + h) − f (x) h f'(x) = lim h→0 s called the derivative of…

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: f(4+h)-f(4) h (Express numbers in exact form. Use symbolic notation and fractions where needed.) Let…

A: The function is given by fx = 1x Formula used to find the limit is f'4 = limh→0f4+h-f4h To evaluate:…

Q: =. Sketch the level curves of g(x, y) corresponding level curves for each k. = y-3 at k = -2,0,2 on…

A: Level curve for g(x,y)=y-3x2

Q: 6x5x², find ƒ'(-4). If f(x) = 5 + 6x 5 +

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Q: lim X→ +∞o (√9x² -5x+1 +3x

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Q: Determine whether the following equations are linear, separable, Bernoulli, or nonlinear homogenous.…

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Q: Find sin 2x, cos 2x, and tan 2x if cosx=- sin 2x cos2x = tan 2x = 7 1 1 00 and x terminates in…

A: See this solution in below.

Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation…

A: Topic- function and application of derivatives we are given,p: pricex: demand of number of clock…

Q: The function f' defined by the formula ƒ(x + h) − ƒ(x) h f'(x) = lim h→0 is called the derivative of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Graph of f MA

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Q: c. If i(t) = 12 cos(10t+ π/6) µ A and q(0) = 2 µ C, then q(t) = ( [ d. If i(t) = 3 e-30t sin40t A…

A: (c) Given : i(t)=12cos10t+π6μA  and q(0)=2μC

Q: Use a calculator to estimate the valuse of the limits correct to two decimal places lim h - 0…

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Q: sec² (In x) cos(lnx) x S dx

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Q: Find the domain of the composition (fog)(x) given f(x)=x²-1 and g(x)=√√x²-4. If possible, find…

A: If f : A → B and g : B → C then (f∘g) : C → A defined by (f∘g)(x) = f(g(x)) for all x belongs to C.

Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 3 =…

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Q: (i) lim x cos x4 x-0 -2 X

A: The given limit limx→0x4cos-2x We have to find the given limit.

Q: Evaluate the limit. lim 1-0 √3+17 sin (1) lim 1-0 t (Give an exact answer. Use symbolic notation and…

A: Let's solve limit of given function.

Q: Find an equation of the tangent line to the graph of f at the point (2, f(2)). f(x) = 4(7x - 2)4 y =

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Q: 3

A: The given integral is s 4∫0∞x21+x4dx Beta function is defined as Bm,n=∫01xm-11-xn-1dx

Q: , what is the dependent variable?

A: Dependent variable: When an independent variable is changed, the dependent variable's value changes.…

Q: 4 + 9x ≤ f(x) ≤ 12 + x²

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Q: Find a and b so that f(x) = 2x+1 + ax² + bx+ 2021 satisfies the following: ● ● The average rate of…

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Q: Find all possible ordinary points of the given differential equation. y"+y=0, -inf choices: Every…

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Q: Create 3 exact differential equations and solve for their test for exactness and also solve for…

A: A linear first order differential equation of the form, M(x,y)dx+N(x,y)dy=0 is said to be exact iff…

Q: Find the point of intersection of the lines below. Then find the equation of the plane containing…

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Q: y = √x - 1

A: We can find the derivative sing limit in the below steps.

Q: . The population of Bougainville exponential function P(t) = ae use it to calculate when the…

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Q: Determine the differential equation on which the general solution is y=cos(A+Bx). A (1-y2)y"+yy'=0…

A: Topic = Differential equation

Q: F(x,y) = 5 x³ ty sin²x 4 2 x +y 0 if (x,y)=(0,0) " ‚ if (x,y)=(0,0)

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Q: 3 y Find the length of the curve x = 9 + 3 4y on 3 ≤ y ≤ 5.

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Q: For f(x) = √ (x^2 − 1) and g(x) = √( x − 3), determine the subset of the domain of g on which the…

A: For fx=x2-1 and gx=x-3, to determine the subset of the domain of g on which the composition f∘g is…

Q: show that the lim DNE. lim (x, y)→(0,1) In (x4 + 2y² 1) e 2x² + y² - 2

A: Please see the below picture for detailed solution.

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√x +

A: Solution is given below:

Q: Find the length of the curve r(t) = 4ti+1j+ b) O d) 632 15 1264 15 1264 5 2558 15 2528 15 + k from t…

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Q: Given the function f(x):  f(x)= x^2 + 1 , − 1 ≤ x < 0          2x− 1 , 0 < x < 1          1 , x = 1…

A: Given the function f(x): f(x)= x^2 + 1 , − 1 ≤ x &lt; 0         2x− 1 , 0 &lt; x &lt; 1         1 ,…

Q: express each common fraction as a decimalfraction. Round to four decimal places when needed. 3⁄20

A: Given expression, 320

Q: lim X>11 2 31 x² + 4 - 5 2x²-15x-77

A: We will evaluate the limit in the below steps.

Q: f(x) is continuous on (-∞0,00). Use the given information to sketch the graph of f. f'(x) +++0 -4…

A: Topic - function and derivatives we are givenf'(x)= 0 at x=-4,4f''(x)=0 at x=-2,4f'(x)&gt;0 for…

Q: K The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000+200x. (A) Find…

A: