1. Use the limit definition of derivative (no shortcuts!) to find the derivative of f(x) = 3x² + 2x.

Q: xdx √9-4x²

A: Given,            ∫x29-4x2dx

Q: 17 m K 19 m hm 9 m Part 1: Part 2: Part 3: Part 4: Let h be the height of AJKL. Find the length of…

A: To find the area of triangle, height etc..

Q: face integral over t xk, portion of t n the octant x, y, z ing normal

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Q: Sketch the region of integration for the following integral. π/4 3/cos(0) f(r, 0) r dr de The region…

A: We have to sketch the region of given integral

Q: You decide to create the digits of a decimal number y between 0 and 1 using the function f(n) = 3n +…

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Q: (3x+4)2dx Evaluate indefinite anti-differentiation

A: The given integral is (3x+4)2.

Q: 2 xdx √9-4x²

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Q: Consider the following matrix. -2 -3 A = 5 7 Choose the correct description of A. Find A if it…

A: First check that given matrix is singular or not then find its inverse.

Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 8 Σ (-3)" w=1

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

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Q: Find the derivative of f(x) = x²e² A. re* (æ+2) B. x² + 2x C. —xe* (æ+2) D. x²e - 2xe O U A B

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Q: 3. Solve the following equations by using variation of parameters methods: a) y" - 2y' + y = e* ln x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-ax 2² y=…

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Q: 3/3 10. Evaluate • 73 (x² +9)3/2 dx

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Here we have to find the indefinite integral.

Q: compute the area of the surface formed when f(x) = x3 between 1 and 3 is rotated around the x axis

A: Solving

Q: 9. Determine the point of intersection of the following two lines: L₁: (x, y, z) = (1, 2, 1) + t(3,…

A: Find value of parametric by equating L1  and L2.

Q: Consider the following theorem. Theorem If f is integrable on [a, b], then [ºf(x) dx = dx = lim…

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Q: 7. Find the flux of F(x, y, z) = x î+ y ĵ+ z² k across the sphere of radius 1 centered at the origin…

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Q: PS. Evaluate fff(3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: Solving

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Find the general solution to the differential equation. xy x-6 Preview TIP Enter your answer as an…

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Q: Sketch the vector field F(x, y) = xj, the line segment from (6, 1) to (6,5), and the line segment…

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Q: - Find the extreme value/s of f(x) = 4 sin² x cos 2x on (37 3π 5π 22

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: 3 • S²(x²-x²+1) dx

A: Solving more than one question is against the policy of bartleby. Post remaining questions one by…

Q: B с Ь

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Q: or each of the following integrals, indicate the trigonometric substitution that could be used to…

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Q: Scos2x (2 2 Cos 2X (2 cos 2X -1) dx

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Q: Write the equation of a sine or cosine function to describe the graph. 'y 0 2π 2π 3 7 6+ 5 4 3 2 2π…

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Q: f[in (w) ² ] ^ 4 3 dw

A: ∫lnω24ωdω=∫2lnω4ωdω=∫16ln4ωωdω=16∫ln4ωωdω Substitute u=lnω⇒dudω=1ω⇒dω=ωdu; 16∫ln4ωωdω=16∫u4du…

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A: Given problem:- Use the method of cylindrical shells to find the volume V of the solid obtained by…

Q: Find the equation of the tangent line to the graph of f(x) = x'e- at x = 0.

A: The given function is f(x)=x9e-x at x=0.

Q: Section 6.2 Volumes 1)(6pts) Find the volume of the solid obtained by rotating the region bounded by…

A: Given y=2-x^2, y=1 ; about the line y=1

Q: 4. Evaluate lim (cos x)¹/x². x-0

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Q: Find the derivative of 83-4 A. 3 ln 8 B. 83x-4 C. D. OA OB OD OC 83-4 ln 8 83x-43 In 8

A: We are authorized to solve only one question, please repost remaining questions Derivative of…

Q: x² + 8x - 9 x1 x³2x25x + 6 t³7t² + 16t - 12 t44t³+ 4t² 4. lim 5. lim t-2

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Q: ind the area of the blue region. It is the area under the curve. y y = 3x+1 y=7-x 6 8 4 2 4 00

A: Follow next step

Q: 3 -7 [3] 7 -5 Let E= -2E= 0 Find -2E. 00 8 [000) 000 1000 [00] Undefined

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A: This is a problem related to vector calculus. Based on the general formula of green's theorem we…

Q: Use partial fractions to find the indefinite integral. (Remember to use al 9-x2 10 dx 5x³ + x

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: Consider the following. y 20 15 10 f(x) = 25 (5, 25) g(x)=x² 5 -4 -2 2 4 6 Q (a) Form the integral…

A: Given query is the area of the shaded region.

Q: M8 Σ n=1 3 n2 + n

A: Given problem:- Determine whether each of the following series converges.

Q: Consider the diagram above, and select each statement below that is true. [n n¹] is a 1D projection…

A: The first option is correct.

Q: A 40-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 7…

A: Find the rate of the top of ladder sliding down.

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: Compute the following determinant. 4 -6 |-4 1|

A: Given

Q: a. b. ² (30e³P +/- ¹ dp р 4 1 2 2x4 dx

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Q: A. Find the first partial derivatives of the given functions. 1. z = x³ xy² + 3y² 2. Find nd of if…

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Q: 7) Two ships are leaving port at the same time. The first ship sails due east at 20 km/h, the second…

A: