a) √ (³x²-²) dx S (3x2

Q: x²-3x - 7 2 (x² + x + 2)(2x - 1) dx

A: Simplifying the given integrand: x2-3x-7(x2+x+2)(2x-1)=x2-3x-72(x2+x+2)x-12

Q: Write the equation of a sine or cosine function to describe the graph. 3- 3 1 π - 4 4 -2 -3 r k | 2

A:

Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all work toward…

A: Given,  f(x,y)=7x3y2-2x+3y

Q: Let I = ₁ √2 + x² dx. Using the comparison properties of the integral, we conclude that (a) 2√√2 ≤ 1…

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Q: An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it…

A:

Q: 1. Consider the graph of f shown below. Using geometry (areas of rectangles and triangles),…

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Q: / x³ + x²+2x+1 (x² + 1)(x² + 2) dr

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Q: 21. Find 1² [f(x) + 28(x)] dx if [²₁ f(x) dx = 5_ and ₁8(1) g(x) dx = -3

A:

Q: Given the function of f(x) = 8x² - 8x on the interval [0, 1], find a point c between 0 and 1 so that…

A: Answer is in step 2.

Q: the base of a three-dimensional figure is bound by the circle x² + y2 = 4. Vertical cross sections…

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Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: When can you not use partial fraction decomposition?

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Q: In (x² + y² ) = 2 arctan y' 9 X

A: We know that derivative of xn is nxn-1.     Here i attached the solution of this question.

Q: Solve for 0 <0 < 2π Separate your answers with commas. 0= sin 40+ sin 50 = 0.

A: Here, the given equation is: sin 4θ+sin 5θ=0...(1)

Q: Determine the angle between the two lines: 1₁: 7 = (1,0) + t(0, —2), t ¤ R x+2 y-3 and 1₂: *+² = −³.…

A: Given

Q: Determine whether the improper integral diverges or converges. Sº cos(10x) dx converges O diverges…

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Q: 1) Use the Integral Test to determine whether the series Show All Your Work! n 2 n=1 n° +1 is…

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Q: Find T(t) and N(t) at the given point. T() = N K2 r(t) = 9 cos(t)i +9 sin(t)j + tk; t= 2 =

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Q: Convert the following lines to parametric equation. a) l₁: = (1,0,1) + t(1,0,−2), t = R Z-3 b) 1₂: x…

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Q: Find each limit, if it exists. 6-7x (a) lim (b) (c) 000 11 x-∞ 6x³ 6-7x lim x- 6x-2 6-7x² lim x-00…

A: Part a,Given,            limx→∞6-7x6x3-2

Q: Evaluate. (Be sure to check by differentiating!) 6 7 STOCK *XX=-=-= dx, x# 7 + 6x 6 6

A:

Q: Determine whether the improper integral diverges or converges. 00 x²ex dx 0 O converges O diverges…

A: Given query is to find integral converges or diverges.

Q: The plane region is revolved completely about the​ y-axis to sweep out a solid of revolution.…

A: We want to find the volume of revolution on  about the y-axis

Q: limn o 9-h-3 h 1 6

A:

Q: √xdx (1+x)³

A: Follow the procedure given below.

Q: Find the Laplace Transformation of y" +3y + 2y - 4ex when y (0) = 0, y′ (0) = 3 OY (s) 2s+1…

A:

Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Use implicit differentiation to find the equation of the line which is tangent to the curve 2xy +…

A: Given equation: 2xy+3x2-5x=4 We know that slope of tangent will be defined by dydx-1,2

Q: c. lim f(x) X→-2+ d. lim f(x) X-0

A:

Q: If f(x) = sinx and g(x) = cosx, then what is the relation between g'(x) and f""(x)?

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: 4. Compute each of the following definite or indefinite integrals. Show all work toward your answer.…

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Q: Find the partial derivatives f(x,y)=e* sin(xy) of dx

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Q: Let C be the parametric curve defined by Sx(t) = t² - 2, y(t) = t³ - 3t + 1. Determine if C is…

A:

Q: Question 10 Complete the description of the piecewise function graphed below. Enter the domains as…

A: To find for which intervals does the given values of f(x) are obtained.

Q: NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for…

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Q: 16. (a) 6 dx (b) -10 (c) √² 2) |x - 2| dx (d) 17. In each part, evaluate the integral, given that…

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Q: e 3 ₁ x³ lnx dx

A: Integration by parts formula:∫u.v=u∫v-∫u'∫v

Q: . find f'(x) if f(x) equals the given expression. a. log (x4 + 3x2 + 1) b. log (3x2 + 2)5

A:

Q: 6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval…

A: Given:       fx=-2x4+4x3-1     f'x=ddx-2x4+4x3-1    f'x=-8x3+12x2

Q: Write the conjugate of √a +3

A:

Q: Find the laplace transform of f(t) = 21² +41 - 5 F (s) = F(s) = O O -5s² + 4s + 4 53 -555 +454 45³ -…

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Q: 1. y = (5x + 2) (3x² + 7)7

A:

Q: The base of a three-dimensional figure is bound by the line y = √x + 2 on the interval [-1, 1].…

A: We have to find the volume of bounded region in the interval [-1,1].

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

A:

Q: the

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Q: Given: X == In(x²y - 1) y Find dy/dx. dy dx x²y-1 y-1 (E) None of these 1 2xy dy y x²y-1 dx + dy dx…

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Q: Sketch the region R and evaluate the iterated integral f(x, y) da. [²²-² (1 - 2x + 8y) dy dx y y 2…

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Q: c. y = 4e (3x²-x) C.

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Q: 15. What is the derivative of the function: F(x) = x cos(5x) F(x) = x cos(5x) F'(x) = (x)…

A: Solving