La (x3 – 2x)dx -2

Q: In 2 e2x dx V1+ ex

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Q: If h(x) = V6 + 5f(x), where f(2) = 6 and f '(2) = 3, find h'(2). %3D h'(2) = %3D

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Q: Evaluate the integral x(x® –4) dx 1. O 1 10 (xº – 4)" +C 50 O 1 +C 60 10 +C 10 x° ( x7 -4x +C 6 7

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Q: Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2

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Q: Ssin ³xcos³xdx

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Q: If the differential equation ydx+xdy= 0 is being solved, what is the geometrical figure represented…

A: Differential equations

Q: 4.For the 2 curves xy = 8 and x2 = 64y, find the angle between the two tangent lines at the !! %3D…

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Q: If f(x) = 4x sin-), find f'() = f' (0.4) -

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Q: Solve the system of differential equations 3x1 + Ox2 x2' 4x1 + 5x2 X1(0) = - 3, x2(0) = 7 21(t) =…

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Q: Find the area of the surface of the half cylinder {(r,0,z): r=6, 0s0Sx, 0szs5} using a parametric…

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Q: x²-4 dx 2. XV xvx²-9

A: ∫1x2+a2 dx =1a tan-1xa+C.

Q: ind an antiderivative of the following function by trial and error. Check your answer by…

A: We have to find integral

Q: Given that f (x) = x 2 - 5x + 6, evaluate the function f(6). 0 -12 12

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Q: Question 28 Write the first five terms of the geometric sequence. a1 - 3; r=- O 3. 74 03 3 3 4' 16…

A: A detailed solution is given below.

Q: Write the first five terms of the arithmetic sequence. ad - 1 0.2 2. 10 14 21 3333 0.214 7 10 3333-3

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: On the circle x² + y² = r², find y". r2 A. y" C. y" = y - x3 E. None of these -x² - y2 В. у" D. y" :…

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Q: Find the derivative of the function at the given point in the direction of A. f(x.y,z) = In (x…

A: Solved below.

Q: Find the absolute maximum and minimum values of the following function in the clc f(x.y) = 2x - 4x+y…

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Q: The graphs of the first and second derivatives of a function y = f (x) are given below. According to…

A: Solve the following

Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Given equation is quadratic so accordingly draw the graph and then solve .

Q: 8 Find tong 20. 1f (us @=4 and sn e

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Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

A: We have to find the Distance

Q: Jx In x dx S x

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Q: Find the volume of the solid obtained by rotating about the x-axis and the region bounded between: y…

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Q: The series 5 n4+ 8 In=17 n++1 is divergent. Select one: O True O False

A: Given query is to find statment is true or false.

Q: Given that the graph of f(x) passes through the point (4, 3) and that the slope of its tangent line…

A: Given query is to find the value of the first function at indicated point.

Q: 3. Case 3 e 2k -1

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Q: Use the like-bases property and exponents to solve the equation n-2 () = 23n +5 > Next Question

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sec?(e) tan°(e) de…

A: Consider the integral  ∫sec2θ tan9θ dθ

Q: x + 4 (x + 3)(x + 1)(x² – 4) -

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Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

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Q: da a 2 +10a+25a 2

A: Given,  ∫ 1a32+10a+25a12da

Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 46°, c = 9, a = 8 mLB = 8°, m2C =…

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Q: csc(cot x) + cos? x dx .2 sin“ x

A: The given problem is solved below in detail.

Q: 3) i.- Given the IVP: y" +3y-4y = 20, y(0) = 0, y (0) = -5. %3D %3D | A) Use the Laplace transform…

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Q: Find the area of the parallelogram with vertices K(3, 3, 2), L(3, 5, 4), M(7, 11, 4), and N(7, 9,

A: We have to find the area of the parallelogram of given vertices.

Q: Estimate the area under the graph of f(x) : 1 over the interval [0, 4] using five approximating x +1…

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Q: 4. Evaluate (10** dx. 1000* 10 -10* +C A) +C In10 In10 10 100 B) 10* +C D) 10* +C In1 In10

A: We can find the integration as below.

Q: 4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx =…

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Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

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Q: . Coefficients Lincar in Two Variables: (x+y-1)dx+(2x +2y+1)dy=0 %3D

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Q: Use a change of variables to evaluate the following indefinite integral. 8. dx O A. u=x° + 28 O B.…

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Q: Which of the following is the particular solution of the differential equation dy = e ;y = 1, when x…

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Q: Find the domain and range of y = log,(7 + 5x). The domain is: The range is : > Next Question

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Q: . Evaluate [10x cos(x²) dx . A) sin(x³)+C C) 30 sin(x') +C 3 B) sin(x') +C 10 D) 3 sin(x') +C 10

A: Our Aim is to evaluate the integral given below:-∫10 x2 cos (x3) dx -(i)

Q: dy a. Use implicit differentiation to find dx dy %3D dx b. Find the slope of the curve at the given…

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Q: Fill in the missing correct answer to simplify the given complex fraction. Complex Fraction: X-y x2…

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Q: Find and classify all the critical points of f(x, y) = (x - 1)y2 - x3

A: Let's find.

Q: tan(1 – x) limx→1 2 2x +x – 3,

A: Limit