Q9. Which of these is not the derivative of the function, y = x": A. -½x1½ В. — 0.5х-1Vx-1 С. -0.5 1 1 D. 2xVx - х1.5

Q: Compute the Laplace transform of 10 + 5t + t2 – 4t3

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Q: Consider the following equation. Step 2 of 2: Find the slope of the tangent line at (-1, 2). 2x² +…

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Q: Determine whether the alternating series converges. 31n k Σ(-1) k k=3 The series diverges.

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Q: Evaluate the function at the indicated value of x. Round the result to three decimal places.…

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A: Explained below

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A: Given query is to find the value of the integral.

Q: fadin a chive Decay Ihe radioghye Kroghope Curhan-f has 8 hak lHe of 599 yeaks. What iş Hi decay'…

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Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e4x dx %3D - In 2 1 +…

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Q: 5. For each integral, state u, du, dv and v you would use to Integrate by parts a) fln(1+x) dx…

A: These integrals are solved integration by parts.

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A: The given limit is; limt→9t i-4 j +t2 k

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A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

Q: Simplify the following expression. X d * J V4+t* dt (Hint: Vi+Pt ,2 1 +t dt = + dt + dx - X -X -X

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Q: √(x + 3) dx √16-x²

A: Solution

Q: Suppose that f(x, y) is differentiable at the point (3, 1) with f(3, 1) = 4, fx (3, 1) = 2, and fy…

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Q: F. dr. Jc Use Stokes' Theorem to evaluate F(x, y, z) = z²i + 26xj – y°k %3D where C is the circle x?…

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Q: 58. 10 (k² - 4k+7)

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Q: For the function y = f(x) = 4 1+x²³ a. Find the slope of the line tangent to its inverse function at…

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Q: 11. The arc length of the graph of a function f(x) on the interval [a, b] is defined as follows. L =…

A: Arc length of Function

Q: if x 2 valuate each of the following, if it exists. (If an answer does not exist, enter DNE.) lim…

A: Solution of given question is written in below steps.

Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per…

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Q: 1 Estimate the area under the graph of f(z) : = over the interval [2, 5] using ten approximating x²…

A: The given function fx=1x2+1 over the interval 2,5

Q: Consider the curve parameterized by x 3t2 3 and y 2t°. Find equations for all tangent lines to this…

A: Here we have to find the equation of tangent line.

Q: Let F(x) = f(x¹) and G(x) = (ƒ(x))ª . You also know that a³ = 14, ƒ(a) = 3, ƒ'(a) = 12, ƒ' (aª) =…

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Q: 15. Indefinite Integrals (Part 1) -/3 -2 a) + cscxcot x dx b) cosx--sinxr+4csc², sin x+4csc² x dx 3…

A: Solution is done in step 2

Q: 21 · 8* cos (8*) dx =

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A: Given query is to find the interval where function is concave up.

Q: Evaluate fx cos x dx

A: Solution:

Q: 1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on…

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Q: Let r = xi + yj + zk and r = |rl. r If F = find div(F). (Enter your answer in terms of r and p.) I…

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Q: Let f(x) = x³ - 3x². Find the absolute minimum value of f(x) on the interval [1, 4].

A: The given function,  f(x)=x3-3x2 on the interval 1,4

Q: Find the extreme value/s of f(x) = 4 sin² x − cos 2x on . (³347) 3π 5π 2' 2

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Q: 9. Using first principles, determine the equation of the tangent line at point (2,2) on the curve…

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Q: Use the Divergence Theorem to find the flux of F(x, y, 2) = (a* – e)i+ (y³ + sin z)j + (2³ – cy)k 3…

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Q: Please

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 8 cos(t)i+3 sin(t)j+ 5tk;…

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Q: Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: To calculate ddtr1t·r2t and ddtr1t×r2t first by differentiating the product directly and then by…

Q: (r2 – 4xy – 2y2) dx + (y2 +4xy – 2x2) dy = 0 - Solve

A: To solve the differential equation.

Q: 10. Find the position function s(t) given acceleration a(t)= 2t if v(2) = 0 and s(2)=1.

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Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

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Q: Let f (x) = x³ 3x². - Find the absolute minimum value of f(x) on the interval [1, 4].

A: We have to find the function value

Q: . Find an equation for the surface area of the rectangular box. =(x, y) dy = . If the surface area…

A: We will solve the surface area problem.

Q: √1² +25 -2 I dt

A: