Evaluate the following definite integrals. dr 5. ? +3

Q: 3. Find the equation of the plane tangent to xyz + x² – 2y² +z' =14 at (5,–2,3)

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Q: If f(x) = [ V19+ t² dt , find f'(3)

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Q: Problem 3 Use the rules of differentiation to to find the derivatives of the function: (a) f(r)= 3rª…

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Q: f(x) z400 g(x) lim where f(r) and g(x) are seen in the graph. 3 S(x) 2 -5 -4 -3 -2 -1, 2 9(x)

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Q: ​(A) Find the average value of the function over the indicated interval.   ​(B) Graph the function…

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Q: Question 28 Find T, N, and B for the given space curve. r(t) = (In (cos t) + 8) i + 7 j + (5+t) k,…

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Q: raluate the following definite integrals.

A: Topic:- definite integration

Q: Given a function f(x, y) = In(9 – x² – y²). (a) Find and sketch the domain of the function. (b) Find…

A: Given function f(x,y)=ln(9-x2-y2 )

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Q: 7. Gven that ärb =-6, Jā||= 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector…

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Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

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Q: dx

A: A detailed solution is given below.

Q: -dx is an improper integral. A True B) False

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Q: Evaluate the integral dx (5x + 9)* by making the appropriate substitution: u = dx (5x + 9)*

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Q: 6. Write an expression equal to log3(4) + log,(5) |using at most one log. 7. Give one example a that…

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Q: Let f(x) be the function 2a² – 4x + 11, Then the quotient f(2 + h) – f(2) - can be simplified to ah…

A: The equation of line between two points;(4, -3) and (-3, 0)f'(4)=0+3-3-4=-37passes through (-3,…

Q: Find the area of the region enclosed by the curves y=x2−2 and y=2.       Question content area…

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Q: e* dx V1-e2x

A: Topic = Integration

Q: 26) (a) Sketch the region between the given functions (curves): y= 2x and y=x (b) Calculate the area…

A: Given: Curves: y=2x, y=x2

Q: Y – C(Y)-I(i)–G, =0 kY +L(i)– M20 =0 %3D

A: answer is in next step

Q: 10 10 f (x) dr=17 and | f (x) dr=12, then f (x) dr=5. A) True B) False

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Q: Optimize Z= In(4x2 - 24x + 2y2 - 20y) optimize the function. Find Zx, Zy, Zxx, Zyy, Zxy. Comment…

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Q: 1. The resultant of two forces has a magnitude of 55 N in the southeast direction. What is the…

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Q: Use a triple integral to find the volume of the solid shown in the figure. z = 16 – x2 - y2 130 10…

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Q: Suppose that f (x) is a function such that lim f(x) and lim f (r) both exist. r3+ Does this mean lim…

A: Use limit definition to prove the limit.

Q: Find the required limit or indicate that it does not exist. lim o+ (in (t6), 12 in t O 6i O Does not…

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Q: Solve the following differential equations of dy 1 -·y = xy'; dx

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Q: Find an equation of the tangent plane to the given surface z = x sin(x + y) at the point (-1, 1, 0).

A: Given,  z=x sin(x+y) ⇒x sin(x+y)-z=0 Let f(x,y,z)=x sin(x+y)-z Recall: The equation of the tangent…

Q: Find the particular solution determined by the given condition. f'(x) = x2/5 + x; f(1) = -6 f(x) = =…

A: We can find the particular solution as below.

Q: Question 24 Solve the problem. Calculate the volume of the parallelepiped with edges a = (2, 4. 1),…

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Q: 3. If f(x) = [ v19 +r² dt , find f'(3).

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Plz

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Q: H.W (3) 1- find fxy fxx fyx fyy for f (x,y) = x2 +3xy- y*

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Q: Use the graph of the function f to find the limits at the indicated valu 4+ 3. y=f(x) 2 1 2 3 4 566…

A: Given query is to find indicated limit.

Q: Let the functions 13:R-¬R, with 3 メー X2 Proove that. V(4xs) =3 (Vx{)-4 (Vx)

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Q: Can someone please double check my work for this problem? Thank you SO much!

A: Given problem:- Evaluate ∫c F. dr,where F=<x,y2>and C is the line segment from (-1, 5) to (0,…

Q: 5. Determine the following limits. If infinite, specify ∞ or -o. If an answer does not exist,…

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Q: Suppose that a, b, and c are unknown constants such that f(x) = x² + ax +b and g(x) = e3z-3) +c are…

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Q: Consider the following function. T: R2 → R3, T(x, y) = (2x², 2xy, 2y²) Find the following images for…

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Q: Find the derivative. 8 + ex y = In 8 - ex Step 1 The given function y = In 8 + ex can be written as…

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Q: 3. For the given differential equation xy' – 4y = x*e* a) Find P(x) and Q(x) functions of a FOLDE.…

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Q: cos*x _8. If S(cos x B) dx = - +C, what is the B? A. - sin x C. COs X В. D. cscx secx Which

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Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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