z = (y - 2x) ³, where x = s²t and y = st². Use the Chain Rule to find, when s = 2 and t = -1.

Q: Find the arc length of the following curve on the given interval. x=7t+1, y = 24t-7, 0≤t≤3 The…

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Q: Consider the following. lim (1+1)* X-00 (a) Describe the type of indeterminate form (if any) that is…

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Q: A y=1 x=y² B y=x² C (1, 1) X=1 X (0,0) Region A is bounded by the parabola x = y², the line y = 1,…

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Q: Suppose your yearly demand for renting DVDs is Q = 20 − 4P.   If there is a rental club that charges…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is where q=number of…

Q: Let Find fy. f(x, y) = x²y + √√x + 5y

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Q: Find and classify the critical point of f(x,y) = -³y² - xy + y²³.

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A: This question can be solved using the concept of divergence test.

Q: f(x, y) = x²y + 4y and x = st, y = 2t - 3s. af and off. af Use Chain Rule to find ds Write your…

A: Follow the procedure given below.

Q: If f(x, y) = x cos y, then fry(0, 1) = ? Select one: O 1 -1 O None of them sin y

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Q: Activity 1. Evaluate the following definite integrals by using the fundamental theorem of Integral…

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Q: 4. √₁² √9-x² dx

A: Follow the procedure given below.

Q: Question af If f(x, y) = xy² - x ln(y) find Ət if x(t, s) = s² - st³ and y(t, s) = e-st²

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Q: The differential equation Find such a solution and then give the related functions requested. has an…

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Q: Given that the graph of f(x)f(x) passes through the point (5,10)(5,10) and that the slope of its…

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Q: (a) lim tan coth an [ coth()] -0+I

A: Solution is given below:

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = tan…

A: The given sequence,   an=tan-1n

Q: Work Problem for the question. Let You must provide a clear and detailed solution z = (y-2x)³. where…

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Q: Shouldn't the 6 be divided by a two, so f'(c) = 3?

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Q: Find parametric equations for the following curve. Include an interval for the parameter values. 3…

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Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: W need to estimate slope.

Q: 3. fx³ (a²+x²)¹/² dx

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Q: No 1 Problem Use the method of disks/rings to determine the volume of the solid obtained by rotating…

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Q: lim cot 1 -1 8418 1

A: A detailed solution is given below.

Q: Evaluate: 12+3 2√x+3 ○1-3 ln (7/5) O2-3 ln(7/5) 2 O2+3 ln7 03-In()

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Q: Which of the following is the partial derivative with respect to a of the function f(x, y) = 3ey -…

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Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

Q: -(4x³y - 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is exact. B) Solve the…

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Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C O None of the choices O cos¹ (2x)…

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Q: Describe the surface with cylindrical equation r=6

A: We have to describe the surface with cylindrical equation r=6.

Q: The differential equation dy 6x + 2 da 12y² + 14y + 5 Find such a solution and then give the related…

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Q: Which of the following is a valid triple integral? ⒸSS ſo ſh(e) (5) f(x, y, z) dzdydr h(y,z) flus) f…

A: We have to discuss about valid triple integral.

Q: Using Linear Approximation, estimate Af for a change in x from x = 100 to x = 96. f(x) = √x (Use…

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Q: Part b: (**) We consider the function f(x, y) = x sin y - y cos x + y Find fx(x, y), fxy(x, y), and…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5y² Find the domain of f. Show that the limit…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: This question can be solved using the concept of the stated theorem 13.9

Q: Choose the correct answer for the following function: f(x, y) = cos(2x²y³) Select one: None of the…

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Q: Use Linear Approximation to estimate Af = f (7.01) - f(7) for f(x) = x². (Use decimal notation. Give…

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Q: In reference to the following function,  f (θ) = (θ − 3) cos(θ) Explain why the graph of f lies…

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Q: -1 0 -t³+1 2 3+² e dt

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: 1. Find the domain of the vector function r(t) =< ln(t + 2), t 1 - 12 21 √12 - 4

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Q: a, b, and I are differentiable functions of the same variable what is the derivative of H ac b +…

A: To find the derivative of acb, here a,b and c are differentiable function of same variable. Let a,b…

Q: Integrate I -dz Select one: O A In 1-¹-2²+√1 − x² + C I OB. 21n1-¹³+√1 − x² + C | OC. In 1-²+√1 = z²…

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Q: What is the slope Curve y = of the +9 tengent Jine to the when X=4?

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Q: Evaluate fz² In z dz using integration by parts Oz²lnz-+c Oz-+ +c Onz-+ C Oz² Inz-+c 2₁

A: Given: ∫z2lnzdz

Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: To find the minimum distance from a point to a paraboloid is just to minimize the function…

Q: (2x²-10a+15) da Integrate: f gở ba tô 2x+3 ln()+ +C n(²²³)+c +C 3 In O2a +3 ln()+ ○ 3 ln() + C o +C

A: We have to integrate ∫2x2-10x+15x2-5x+6 dx.

Q: The domain of the function f(x, y) = Inz x-y is: Select one: O The region below the line y = x but…

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Q: given z=xlny-((2^x)/y)+ysinhsqrtx, find (∂^4)z/∂x∂y∂x∂y

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Q: S cscycoty 1+cacy dy Select one: OA. - In (1+ csc y) + C OB. In (1+ csc y) + C OC. In² (1+ csc y) +…

A: Given problem:-