Find the integral. Use C for the constant of integration. | (x² (y² + 3)² dy

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: S (x² − 2) dx; n = 4 32.

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Q: 7. Apply the test for divergence to each infinite series given below. Then using at least one…

A: Given:To Find: To apply the test for divergence, for each of the given series. Then to explain the…

Q: Let S be the solid that lies between the paraboloid z = x² + y² + x² = 2. (a) Describe Susing…

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Q: The point(s) is/are (Type an ordered pair. Use a comma to separate answers as neeeded.)

A: Given that the graph with tangent line parallel to y=3x+1 we have to find the point is/are?

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A: from the given table

Q: At what points is the function y = X+5 - 8x + 15 x²- continuous? Describe the set of x-values where…

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Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: A system of equations is inconsistent when it has no solution.that is no real numbers as variable…

Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above and…

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Q: 5+ 4 3 2 1 -1 -2 -3 -4 -5+ 1 8 + 7 6 5 4 3 2 1 -1 -2 -3 3 -5 -6 -7 -8+ 4 The graph of a function y =…

A: The graph of a function  is shown. To make a sketch of theantiderivative F, given that F is…

Q: Hello, I need to evaluate the limits below but the grahp is made on paint, sorry about that.…

A: Given graph of function

Q: Find the area under the curve y = 9x5 over the interval [0, 2]

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Q: =e*² and y = x²e² don't have elementary antiderivatives, but y = (2x² + 1)² does. Evaluate [ (2x² +…

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Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

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Q: Let sin A = -1/sqrt10 with A in QIII and tanB = 3/4 with B in QI. Answer exactly. Find tan (A+B) and…

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Q: 1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- X

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Q: 8. The largest angle of a triangle has a measure that is 10 degree less than three times the measure…

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Q: Find the unit tangent vector to the curve at the specified value of the paramet r(t) = t³i + 3t²j, t…

A: The given equation of curve

Q: The equation z = 5r cos (0) is given in cylindrical coordinates. Convert the equation to Cartesian…

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Q: S 12x+8 3x²+4x+8 dx

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Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

Q: Let g(z) = 6 Determine the most general indefinite integral of g. 1 6dz

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Q: For answer in part "E", is the answer 1/2 ln| sqrt(x^2+4/x^2) - 2/x |+C or 1/2 ln| sqrt(x^2+4) / x^2…

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Q: A company incurs debt at a rate of D'(t) = 102(t+10) √ ₁²+ + 20t dollars per year, where t is the…

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Q: 7. Evaluate the definite integral. a. b. С. 9 cos(xt/2) dt в'ітетка 1+ * = dx 47 dx

A: The given intergals are

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: To find the volume generated by rotating the region between the curves x=2y2 and x=y2 +4 about the…

Q: Let g(t) = - 503 t Determine the most general indefinite integral of g. - 5 + dt

A: Given,

Q: 3. Evaluate the integrals. a. b. /4 5*1*4 (sec (1))² dt [²7/x dx baxax 8x dx

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Q: Find an equation of the curve whose tangent line has a slope of f'(x)=x given that the point 1,-…

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Q: Evaluate S 2x + 1 (4x + 3)(x + 1) - dx

A: Consider the integral

Q: Find the area of the shaded region. r = 4 + 3 sin(0) -5 y 5 -5 5 -X i

A: The region is bounded by the curve The given graph of the region

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: I have appended the formula used in the solution procedure

Q: 7. The sum of measures of the angles of a triangle is 180 degree. The smallest angle of the triangle…

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Q: Evaluate the following: lim In(e+h)-in e

A: To evaluate the following limit.

Q: 8. Evaluate the definite integral. a. 6 e² + 18 e² + 18z dz

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1 The equation z = 1 3 3 x² + y² is given in Cartesian coordinates. Convert the equation to…

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Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+ 2t³,…

A: x=8+3t2

Q: For timer 20, the function Cate with positive constants a and b gives the concentration, C, of a…

A: The given function is

Q: height (feet) of an object moving vertically is given by s= - 16t² +288t+216, where t is in seconds.…

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Q: he table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx…

A: Consider the given table in the question.Given that n = 3△x=b-an"…

Q: 18. Find the value(s) of c that satisfy the equation f(b)-f(a) = f'(c) in the conclusion of the Mean…

A: GMean Value Theorem

Q: 2 0 0 1 -2 1 0 4 -3

A: given matrix is ,

Q: lim       sin(π+h)- sinπ                                      h→0     —------------…

A: Note:-Since your part a incomplete ,please repost part a again(b)

Q: Question 1. Below is the velocity graph for a golf cart measured in meters per second with respect…

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Q: Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x = 2

A: Note:-Since you asked multiple questions according to our polcy we can answer only first question…

Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

Q: :) 2 ↑ t Suppose g(x) fict) > 0 Por all Investigate whether gaxs min. (ii) an inflection local max…

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Q: L³₂x³dx -2 2 1 x+0.5 dx

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Q: Given the graph of f (x) below, what is the open interval(s) ov which f'(x) is positive? 3 N -8 -7…

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Q: Determine whether the series converges or diverges. Σ 5 sin (²) n n = 1

A: The given series is