Find dy/dx by implicit differentiation. x²y³ -yax dy/dx =

Q: Consider the vector Field 7 and the curve C below. F(x,y) = (3 +4 ху?) 1 + 4x²yј, C is the arc of…

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Q: 3. x dy + 6y = 3xyi dx

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Q: 17 Select the conic section represented by the equation. 4x 2 -y 2 + 24x + 4y + 28 = 0. circle…

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Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

A: This question is based on application of integration.

Q: A factory operating at maximum capacity can produce 25 fuzzles in one day. The cost of producing a…

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Q: Find an equation for the conic that satisfies the given conditions. parabola, focus (5, -3), vertex…

A: The general form of the parabola is given by: y=a(x-h)2+k...(1) where (h,k( is the vertex of the…

Q: 2 The probability that an event will happen is . What is the probability that the event will not…

A: We need to find probability.

Q: Integrating Factor by Linear Equations: 5.y' = 1-2y cot2x

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Q: Let T: R³ → R³ be a linear transformation such that T(1, 0, 0) = (4, -1, 2), 7(0, 1, 0) = (1, 3,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find sin (θ) given that cos (θ) = 1/5 and θ is in quadrant IV.

A: Given that  cosθ = 15 and θ is in quadrant IV. We have to find the value of  sinθ.

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 2. lim (√x²-x-√x² + x)

A: Please see the answer below.

Q: d²y dx² + 3 dv dx -10y=3x²

A: Given problem:-

Q: Solve the following differential equations of d² y dx² dx dy +3 dv −10y=3x²

A: We have to find the solution of the given differential equation.

Q: 2x2 40. Determine which of the following is the integral off 5 cos x dx. a. -5 sin x + C c.cosx+C b.…

A: To evaluate the values of given integrals.

Q: x+1 1-x In [cosh (x+1) + sinh (x+1) lim 2tanh x=1- lim_ In x=1+ l

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Q: Suppose f is continuous everywhere, f’ is differentiable everywhere except at x = -1, and the graph…

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Q: Evaluat the integral:- 푼 is S. sec (cosx) dx dy D Sin y

A: Here, to evaluate: ∫01∫sin-1yπ2sec2(cos x) dx dy So, the region of integration is bounded by the…

Q: Find the exact length. T=0², 0≤0 ≤ 2π ° 4[G²+1²] ²3 [(x² + 1)² - 1] [(²+1)-1] ° 4[68² +1²]

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 137 u = 8i + 7j + k v = i + j…

A: Directly use the formula for the volume of parallelepiped.

Q: if any. Find the absolute extremum point (s) of f(x) = el-cost on [-, π],

A: Given data÷

Q: Find the Maclaurin series centered at c and the interval of convergence. 12) f(x) = 1-2x 13)f(x) =…

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Q: Evaluate 7664/7 [²² (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32) X

A: We have to evaluate of given integral

Q: ست مارت منطقه مصرف سرت

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Q: dy II. Find Do not simplify your answers. da 1. log3 (√2x² + y) + tan(x - 7") = sin ¹1 (x²-1) +

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Q: 3. Suppose that the revenue in selling a tables is equal to 200x -0.25x² dollars, and producing a…

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Q: 1. F = cos y i+ xyj + yk, A B C D E F О н A. i+j+(y-siny)k B. i+ (siny - y)k C. j (2y-siny)k D. 3i -…

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Q: Graph the pair of parametric equations with the aid of a graphing calculator x = 4 sin t - sin 4t, y…

A: Given x=4sint-sin4ty=4cost-cos4t0≤t≤2π

Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: d d Calculate[r₁(t) r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and…

A: This question can be solved using the concept of dot and cross product of two vectors and…

Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

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Q: Use the formula k(t): 390 t¹1 k(t) (4 +225 +26) = ||r' (t) x r"(t)|| ||r' (t)||³ r(t) = t²i+t¹5j X…

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Q: 6- Given the function below -(x+1) ²+7 X2

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Q: dy II. Find Do not simplify your answers. dr 2. y= tan ¹(coshr) (sin²x) (sech x)secz S [use…

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Q: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

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Q: 3- For what value of c is the function continuous? Provide a well- communicated solution. F(x) = {…

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Q: d'y dx² d²y + dy dx X=

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Q: Find the differential dy of the given function. sec² x dy Read It Need Help?

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Q: Solve the D.E ý - 25 +2y = 2X+3

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Q: Apply the first derivative test to indentify all relative extrema. f(x) = ¹²-2x+1

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Q: Determine the minimum cost of a retailer of motorized bicycles whose cost function is C(q) = 4860/q+…

A: Here the given cost function is: C(q)=4860q+15q+750000

Q: 5. (a) Find the exact value of sin (20) given that sin (0) = 3/5 and 0 is in quadrant II. (b) If cos…

A: Given problems:- 5. (a) Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in…

Q: if any. Find the absolute extremum point(s) of f(x) = el-cost on [−5, π],

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Q: Find the volume of the shaded region when revolved about the indicated axis. Y A B D 493 392 334 234…

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Radius 5 2√3 4

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 11x)y², y(0) - -…

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Q: Find the nth Taylor polynomial centered at c. f(x) = ln(x), n = 4, c = 6 P4(x) = X

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Range -8 ≤ y ≤ 2 -7 ≤ y ≤ 3 -2 ≤…

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Q: Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in quadrant II.

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Q: Using production function Y = K1/2 1/2 and using the information below: Relative to US column 4…

A: Solution of the problem as follows