g (t) = = 3+t+t² √t

Q: Use the disk method to find the volume of the solid generated by revolving the region bounded by the…

A: We first sketch the region using a graphing calculator

Q: Find and classify the critical points of (x² - 6x) (y² – 7y) 2= Local maximums: Local minimums:…

A: z=(x2-7y)

Q: 37. So x + 3 √x+1 dx.

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Q: Pls help ASAP and pls provide all steps and calculations

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Q: 1 Find the volume of the solid generated when the region bounded by y = x(8 - x) and x = 5 is…

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Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

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Q: Find the integral using an appropriate trigonometric substitution. 25x²-4 Sv X which of the…

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Q: The total U.S. personal income I (in billions of dollars) from 1970 and projected to 2024 can be…

A: We are given the U.S personal income from 1970 to 2024 can be approximated by where t is the number…

Q: The purchasing power P of a $25,000 per year pension after t years of 4% inflation can be modeled by…

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Q: TT 밴우 4 x2 Vx2+4 dx

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Q: Express the given parametrization in the form y = f(x) by eliminating the parameter. x = = In(t), y…

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Q: The derivative F' (t) is graphed in the figure below. Given that F (0) = 12, calculate F(t) fort =…

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Q: ·S 61. cos (1/x) x2 dx.

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Q: Let f(x) = 3x + 3 and g(x) = −3x - 3. Compute the following. (a) (fog)(x) (b) (c) (d) (fog)(8)…

A: Let .To compute the following:

Q: 39. A car traveling at 60 mph decelerates at 20 feet per second per second. (a) How long does it…

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Q: Express the sum X x² x³ x x5 + + + 2 4 8 16 32 64 - 3n (27) ³h, (5) ³ 2 ∞ n=0 in terms of geometric…

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Q: Find the derivative of the function. f(x) = 8x² In(x) f'(x) = 16x ln(x) + 8x

A: The objective of the question is to find the derivative of the function f(x) = 8x^2 ln(x).

Q: Find the polar equation of the line y = 4x + 6 in terms of rand 0.

A: We have to convert the given rectangular equation into polar equation.

Q: Given the velocity v = ds and the initial position of a body moving along a coordinate line, find…

A: Given the velocity function    v(t) = 9.8t +4 .................(1) and     s(0) = 10

Q: True or False and explain why showing all steps.…

A: The curves r1 = (2t, 3t, 0) and r2 = (3t, -2t, 1) intersect at a right angle at the origin (0, 0,…

Q: 27. Let ABC be a triangle with vertices A = (-3,0), B = (0, 6), C = (3, 0). Let P be a point on the…

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Q: Use partial-fractions to find the integral: A.) integral (2x+1)/(x^(2)+x)dx B.) integral…

A: A). B). C).

Q: Solve with method of variation of Parametric. y' + y = cotx

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Q: Use substitution to find the first three terms of the Maclaurin series for ƒ (x) = e*²⁰. How does…

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Q: 1/2 Evaluate csc лt cotët dt [ 1/6

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Q: 3. f log4 sec 4x =dx √csc² 4x-1

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Q: A student has $13000 in student loans. The loans are to be repaid over 10 years at a rate of 4.25%.…

A: We have given that a student has $13000 in student loans. The loans are to be repaid over 10 years…

Q: 7. The derivative of the function fis given by f'(x) = x³ - 4 sin(x²) + 1. On the interval (-2.5,…

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Q: A particle moves along a line with a velocity v(t) - = 2t² + 3t +8, measured in meters per second.…

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Q: Write a non-recursive formula for the nth term of the geometric sequence. {48, 24, 12, 6, ...}

A: To write a non-recursive formula for the nth term of the following geometric sequence.

Q: 3. Let f(r) = 12z - 12 ³-²-4x+4' and let P/(r) be the partial fraction decomposition of f(x). (a)…

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Q: 2. Evaluate the following indefinite integrals: [x² In(x) dx [x²e* dx a. b. C. fxcos(3x) dx

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Q: a woman drove to an appointment at 50mph. her average speed on the return trip was 40mph. the return…

A: The objective of the question is to find the distance the woman traveled to her appointment. We know…

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A: The given integral is 6x4+4

Q: The table below represents values of differentiable functions, f and g, and their first derivatives.…

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Q: Solve the differential equation. dy dx = 7e*-y Choose the correct solution of the differential…

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Q: 3. a) a 17 (mod 29) Find the integer a such that and-14 ≤a ≤ 14. b) a 24(mod 31) and -15 ≤ a ≤ 15.

A: (a) (b)

Q: 3. Solve each problem a) 39 = 2y+1 b) 9e²y = x² c) ln(y - 1) = x + ln y

A: Explaination of the answer is as follows

Q: 7. DETAILS SPRECALC7 7.2.017. Use an Addition or Subtraction Formula to write the expression as a…

A: Let,.We know that,

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: an+7)

Q: Given the curve تن 2³ + 2xy + y³ = 3 3 Find an equation of the tangent line to the curve at the…

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Q: 1 = f(x) = x + x+7=72₁

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Q: A straight trail with a uniform inclination of 11° leads from a lodge at an elevation of 900 feet to…

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Q: Evaluate the following indefinite integrals: a. S 1 x²√36-x² - dx b. X -9 - 11-364 c. [²√²+² d.…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: y = f (x) 3+ N -3 2 2 3 -1 -2 The figure above shows the graph of the twice-differentiable function…

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Q: Consider the function on the interval (0, 2π). sin(x) 2 + (cos(x))² (a) Find the open intervals on…

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Q: Perform the indicated operations for the given vectors. v = 3i - 5j w = -7i+4j Find 2v - 5w. Give…

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Q: An icosahedron is a Platonic solid with a surface that consists of 20 equilateral triangles. By what…

A: An icosahedron consists 20 equilateral triangle.Side length of the equilateral triangle is 16.2The…

Q: edback e average angular displacement is given by the slope of the secant. We calculate f(0.2) and…

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Q: Which of the following limits does not yield an indeterminate form? A B 4x³ lim x→0 cos(x)—1 lim x-3…

A: The indeterminate form: