9x²-6 2x²-x²-8x+4 B D + x + 2 mx + n None of the choices 4 To evaluate A x-2 A 9 B 3 E 2 S + -dx using the method of partial fractions, the given integral can be rewritten as dx. Find the value of A + B - D.

Q: 1. find dy/dx of each equation using implicit differentiation. a. x2 - y2 = 9 b. 3x2 - y3 -3xy = 0

A: As we know that; The Power law; ddxxn=nxn-1 The Product rule; f·g'=f'·g+f·g'   Given: (a). x2-y2=9

Q: 55. the sum of the first 80 positive integers 56. the sum of the first 120 positive integers

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Q: Find the answer to the application problems. 5. If v(t)=t²-7t+10 represents the velocity function of…

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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: Evaluate the iterated integral. 6 (x + y) dy dx Jo Jo

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Q: 10. | x³(lnx+1)8x* dx

A: To evaluate the integral: I=∫xx(ln x+1)8xxdx=∫8xxxx(ln x+1)dx

Q: [10 sin(2x) cos(2x) √ cos²(2x)-5 dx O a. 5 (cos² (2x)-5) ³/5 + C 3 5 O b. -(cos² (2x)-5)³/2 + C OC.…

A: To evaluate the given integral.

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

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Q: 10. 11. 12. 13. 14. 15. - y = ²7 x − 8 As x 16. by Y by lim 25 2+6 LIMIT VALUE: lim #--1 LIMIT…

A: We have to solve above question  As per given bartleby guidelines we have to solve 1 question if you…

Q: 6. Using a double integral, find the area that is inside the region bounded by r = 3+2 sin and r =…

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Q: 3-2ey 3y-zey dy is Зу-2еу {A} - In|3y - e²y|+C The f

A: we have to find the integration.

Q: Find the length of the parabolic segment r= 6 1 + cos 0 The length is. (Type an exact answer, using…

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Q: Evaluate the iterated integral. [²1²₂(x² - y²) dy d dx

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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: The cos³4 dy is {A}-sin+sin³¹+C 3 4y 4 3 3 {B}sin-sin³¹+ C 3 4 3 (c)-sin-sin³+C {D}sin+sin³+ C

A:

Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

A: givenf(a)=3f(b)=1f(c)=2f(d)=4f(e)=2

Q: Evaluate the following integrals. 2. √x*+5x³ x+5x³+20x+16 x(x²+4)² dx

A: The given integral is ∫x4+5x3+20x+16x(x2+4)2…

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: Find a Cartesian equation for the curve and identify it. ² cos(20) = 1

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = = 11 cos(t)i + 9 sin(t)j…

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Q: 3. For the double integral [['sin(y) dydz I (a) Sketch the region of integration. (b) Change the…

A: Given; I=∫01∫x1siny2dydx   As we know that; ∫sinxdx=-cosx+C

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: Consider a triangle ABC like the one below. Suppose that b=58, c=34, and B= 108°. (The figure is not…

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Q: (1 + x) – Σ - (n).", -Σ n=0

A:

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 600 yd…

A: A rectangular swimming area in front of Long Lake Beach, using 600 yd of rope and floats.

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: y Given: xe² + In(x - y) = . Find dy/dx. dy 2x(x-y)-x¹+x -w) (20

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Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m - n)] dx A…

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Q: Decide whether the integral is improper. [ In(x²) dx proper O improper Explain your reasoning.…

A: Here we have to decide whether the given integral is improper.

Q: 1. Use the graph of y = f(x) given below to find the answer to each of the following. You do not…

A: By using the graph of y=fx given below to lisy all the intervals on which f is increasing.

Q: Evaluate the following integrals. 2. √x+ +5x² x4+5x³+20x+16 x(x²+4)² dx

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Q: Decide whether the integral is improper. 00 [ In(x8) dx O proper O improper Explain your reasoning.…

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Q: Consider à = (2,1,k), and b = (k,-8,k). Find the value of k such that å and bare perpendicular.

A: We can find the values of k as below.

Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent.…

A: From the given series we have to check the convergent and divergent of the series.

Q: y = 1- cos 0 1+ cos 0 3

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

Q: Decide whether the integral is improper. [In(x³) dx proper O improper Explain your reasoning.…

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Q: Evaluate the following x4 (5-x²) dx

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Q: 25 2 la

A: We have to find the following conditions according to the given information

Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,…

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

Q: Consider sin¹x cos³x dx. If we let u= sinx, the integrand can be transformed to

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Q: Evaluate finne sin(e) e dydx

A: To evaluate the given integral.∫0ln 1∫ln 10ex siney ey dy dx

Q: Find an equation in rectangular coordinates for the surface represented by the spherical equation. 프…

A:

Q: the slope intercept equation of a line that passes through (0,-6) and (3,-4) is

A: Given points are (0,-6) and (3,-4)and here (0,-6) is (x1,y1) and (3,-4) is (x2,y2)We know the slope…

Q: h(x) = f(gx)) calculate the following derivatives using the table a) h'(3) b) h'(2)

A: Given

Q: Evaluate the iterated integral. 1₁1²₁1x². (x² - y²) dy dx

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Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: Je-2x sin 2x dx

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Q: 2. y = x² sinx What is the appropriate formula? dy Solution:

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Q: 11. f²(2x - 3) dx 12. ²₂(x³ + 2x) dx 13. f(x² – 2) dx

A: