Direction: Evaluate f'(2) for the given functions. Show your solutions on a separate sheet of paper. (Rx3) 2x f(x): x - 1 5. а. -2 b. 2 с. 1 d. -1

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Q: Calculate the double integral of f(x, y) over the triangle in the figure below. f(x, y) = 8ex2 y 4 2…

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Q: a. Determine whether the Mean Value Theorem applies to the function f(x) = sin - 1 'x on the…

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Q: (3) Evaluate the iterated integral , " (3 + x² +v²) dx dy.

A: First integrating with respect to x and then with y

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Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

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A: x = t3+1differntiating w.r.t. variable t;dxdt=3t2+0dxdt=3t2   ....(1)y = t2-tdifferentiating w.r.t…

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A: We have to find the integral

Q: Choose the point which shows the correct location for the polar coordinate (1, ). 90° 412 135° 7…

A: To choose the point which shows the correct location for the polar coordinate 1, 5π6.

Q: 8. A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate…

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A: Given : y=5u2+1 ; u=2x   To Find : dydx

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A: Let's find.

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Q: Find Vf at the given point. f(x,y,z) = ex+Y sin z+ (y + 1) cos "x, Vf i+ 0,0, (Type an exact answer,…

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Q: Find the area of the parallelogram with vertices (1,2), (4, 5), (7, 10), and (10, 13)- Answer:

A: I have shown magnified diagram

Q: Find the angle in radians between the planes -2x + z = 1 and -ly+ z = 1.

A: See the answer below

Q: Find PH)

A: inverse laplace transform of  1s2+s

Q: 4. Determine the general equation of the plane containing the points P(1, -4, –5), Q(2,0, 13) and R

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Q: In a predator/prey model, the predator population is modeled by the function y = 800 cos(2t) + 6000…

A: y=800cos(2t)+6000(a) y'(t)=800×(-sin(2t))×2          =-1600sin(2t)      Suppose…

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A: Given query is to find the slope of the tangent.

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Q: Choose the point which shows the correct location for the polar coordinate (-3, 315). 90 2 WIN 135…

A: The given polar coordinate -3, 315°

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Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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Q: sin 4x, + c sin32x. A. sin 2x- (sin 2x - m 2*) 3 + (х + 16 - 8. 16 16 3 sin3, sin x В. 8 sin x 16…

A: Expand (sinx)^6 into single power.

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Q: 12. Evaluate the given integral, J x² sin x dx: A. - x2 cos x + 2x sin x + 2 cos x + c B. x2 cos x +…

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Q: S sin3xsin 2x dx 3.

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Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. = (6, -7), v= (-3, -3) u Jul |v| = |2ul =…

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Q: 4 x ) dx. 4 tan x

A: topic - definite integral using integration properties

Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: The inflection point of the function f(x) = x³ – x² + 5æ + 1 is: (금, 꽃) 70 3 (-3, – ) 70 (-;, ) 27…

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Q: (1 point) Find a vector orthogonal to both (-5, –2, 0) and to (0, -2, 5) of the form (1,

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Q: Find the area bounded by these curves.

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Q: Choose the point which shows the correct location for the polar coordinate (-2, - ). 90° 2 W// 135°…

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Q: b. Consider the graph of function f below. 1,5) (7,9) (-1,-1) (4.2) (1,-1) Complete the following…

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Q: V3 a. Determine whether the Mean Value Theorem applies to the function f(x) = sin 'x on the interval…

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Q: CSC* x dx cot² x

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A: We need to find absolute max and min value in given interval.

Q: 1 (f) log16 VI+1 = 4.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: I am attaching image so that you understand each and every step.

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Q: Please, solve 1(d) & (e), 2 only

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