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 + C O D. In | ²2 − √¹-2² | + √√1 − x² + C

Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 4t, y = 5t dw dt || Value t =…

A: Given: w=x2+y2, x=4t, y=5t and t=2.   Apply the Chain Rule; dwdt=∂w∂x·dxdt+∂w∂y·dydt    ...1

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Q: What is the area of the region between y=x²-2x-3 and the x-axis from to 6? x=0

A: Area bounded by the curve fx=x2-2x-3 and x-axis on interval 0, 6

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Q: The domain of the function f defined by is equal to: Select one: O True O False 7 cos(x)+y² In…

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A: We have to find out derivative

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Q: Given the function xye9-sin² ecos² fxx of f is equal to 0. f(x, y)= The second derivative Select…

A: A detailed solution is given below. fx = partial derivative of f(x,y) with respect to x. fxx =…

Q: Differentiate implicitly to find the first partial derivatives of z. x In(y) + y²z+ z² = 93 дz əx дz…

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Q: Evaluate f dx √1-16x²

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Q: (5+162²) ²- Question 16 Find the curvature of the plane curve y = 5x² +8 at x = -1. Round your…

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Q: A rate of change of H is given by Solve for k where H > -25. O 0.458 O 0.346 0.255 O 0.144 dH = k…

A: topic- differential equation

Q: True or False: If / (x − 3)(x + 2) - then B = Select one: O True False 2 5 -dx = 3 - In(|x − 3]) +…

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Q: 4. If f is a coordinate system on a line /, determine whether or not each of the following functions…

A: We need to determine whether each will be a coordinate system or not.

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

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Q: Integrate (3-2)¹0 dar Select one: OA.(3-2)¹¹ +C OB.(3-2)¹¹ +C 12 OC.(3-2)¹¹+C OD.(3-2)¹¹ +C 10

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Q: Describe the domain of the function f(x, y) = ln(7−x−y).

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Q: ex-4e-x ex 2 x-² / + C ex Option 1 dx 2 x + ² + C ex O Option 3 x+2 ex + C O Option 2 x-2e * +C O…

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Q: Multiply and simplify. (1 + tan ß)² (1 | + tan ß)² = [ (Simplify your answer.)

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Q: a. Use limits to find the derivative function f′ for the function f. b.Evaluate f′​(a) for the…

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Q: Consider the following. f(x, y) = 6x9y (a) Find f(5, 3) and f(5.1, 3.05) and calculate Az. f(5, 3) =…

A: Let's find total diffrential.

Q: Work problem 2 ( } Let w(u, v) = 5u – 5v + u² − 5v³, u = cos(2t) and v = sin(3s). - Use chain rule…

A: we will use chain rule yo find derivative.

Q: Given that f(x)=x2+5xf(x)=x2+5x and g(x)=x−9g(x)=x-9, calculate   (a) (f∘g)(5)(f∘g)(5) (b)…

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Q: Which of the following functions DO NOT satisfy the hypotheses of the Mean Value Theorem on the…

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Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

A: SOLUTION-

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Q: Find the average value of the following function on the given interval. Graph the function and…

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Q: 5. Find the volume of the solid formed by rotating the region bounded by the graph of y=1+√x, the…

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Q: If u(t) = and v(t) = , use the formula below to find the given derivative. d[u(t) × v (t)] = u' (t)…

A: Using given formula find derivative

Q: Integrate √1 - r²dr Select one: OA. }(arcsinx+v1_2)+C OB. }(arcsinx+2v1_z)+C OC. (arcsinx +…

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 -…

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Q: (b) r4 x x²-9 dx

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

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Q: 1. Find the Taylor polynomial p3 centered at a = 7/3 for f(x) = = COS I.

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