ᏧᎾ 17 - 8cos Ꮎ

Q: If f(−15) = −14, ƒ'(−15) = 9, ƒ(−11) = −12 and f'(-11) = -10 then: -11 ["h x. f"(x) dx =

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Q: 4) Which of the following are true about the function f(x) = ? I f(x) is an odd function. II f(x)…

A: To determine the true statements about the function .

Q: Graph the polynomial P(x) = x3³ + x² - 5x + 3 using calculus by showing the given steps: (b)…

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Q: Determine whether the given series converges or diverges. If it converges, find its sum. 5m² + 7 n=0…

A: We have to find the convergence or divergence of the following series.

Q: 53. 6 √4-4x² 3 dx

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

Q: 24. f(x) = sin² x, g(x) = 1 − cos 2x 25. f(x) = ex sin x, g(x) = e* cos x

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Q: Evaluate the improper integral Š 110 X dx

A: given integration

Q: Calculate the indicated Riemann sum S3 for the function f(x)=x2−4x−21. Partition ​[0,6​] into…

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Q: Find g(x) if g'(x) = (75x2 − 100x) · 95x^3 − 10x^2 and g(0) = 9.

A: given function

Q: Verify that the given function y is a solution of the initial value problem that follows it. y(t) =…

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Q: Write the expression as a single logarithm with a coefficient of 1. (a) In(5) - 2 In(4) + In(32) (b)…

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Q: A inner city revitalization zone is a rectangle that is twice as long as it is wide the width of the…

A: Note : We are authorized to answer one question at a time, so we are answering the first one, Please…

Q: c) Given the following polynomials: P(x) = 2x − 3x³ - 1 + x² and Q(x) = 2x² Evaluate P(-1): Find…

A: The given functions are  and .The aim is to find the value of  and find the function .

Q: True or false: If f(t) is the distance of a particle from a fixed point after tunits of time, then…

A: The objective of the question is to determine whether the derivative of a function representing…

Q: (10) The position function for a particle's motion on a line is s(t) = t³-t²-t + 1, t≥ 0. s is in…

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Q: Find all the real-number roots of the equation. Give an exact expression for the root and also a…

A: The given equation is

Q: Determine the following indefinite integrals. Check your work by differentiation. (Question 39 and…

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Q: A. Directions: Find and evaluate the limit as xa and x→a using one possible theorem that can be…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: e directional derivative mal derivative. (0,3), that is find Vf(C ved). Better luck next time!…

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Q: 3. The charge through a resistor is given by q = 4t³ - 9t². What is the current through the resistor…

A: Given charge is, .Formula for current is, .

Q: Find the point on the line 4x + y = 7 that is closest to the point  (−5, 2).

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Q: 2. Provide the general set up to find the surface area of the surface obtained by rotating the curve…

A: To provide the general setup to find the surface area of the surface obtained by rotating the curve…

Q: The velocity function, in feet per second, is given for a particle moving along a straight line. 6…

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Q: Devon invested $9500 in three different mutual funds. A fund containing large cap stocks made a 6.8%…

A: Devon invested $9500 in three different mutual funds. A fund containing large cap stocks made a 6.8%…

Q: Two sides of a triangle are 8 and 4. Find the size of the angle 0 (in radians) formed by the sides…

A: We use second derivative test to find the value of  for which A is maximum.

Q: Use a(t) = -32 ft/sec² as the acceleration due to gravity. (Neglect air resistance.) A ball is…

A: A ball is thrown vertically upward from a height of 4 feet with an initial velocity of 88 feet per…

Q: 4. f(x) = Find the equations of all tangent lines passing through the point P (-2, - 3 (Note: the…

A: The given function equation is The equation of tangent plane at point  and slope

Q: F(s)= 3/(s(s+5)). Find the inverse Laplace transform without using partial fractions.

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Q: The maker of an automobile advertises that it takes 14 seconds to accelerate from 30 kilometers per…

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Q: Factor to find all x-intercepts of the function. f(x): 2x² + x - 6 =

A: The objective of this question is to find the x-intercepts of the given function. The x-intercepts…

Q: The population of a small town is modeled by the equation P= 1950e0.5t where t is measured in years.…

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Q: Let A = -2-5-20 5 2 3 1 15. Find the third column of A1 without computing the other two columns. 8

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Q: A closed rectangular box with a square base and a volume of 10 ft3 is to be constructed with a…

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Q: Solve 45x = 53x+1 for x. Round your answer to four decimal places

A: use log propertyln(x)^m =mln(x)

Q: Suppose that AABC is a right triangle with ZC = 90°. If AC = BC = 4, compute the following. (Enter…

A: The objective of the question is to find the values of sec A, csc A, cot A, sec B, csc B, cot B, and…

Q: Find a linear transformation 7 that gives a one-to-one correspondence between the unit circle and…

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Q: Find the equation of the tangent line at x= 1 of the function -2x/5+x-2 x4 e

A: Given Function as follows

Q: Given f(x,y) = ³y - 4zy find the directional derivative D-f(z,y) for (z,y) = = find the maximum…

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Q: Find the local (relative) extrema of the function f(x)=x+√5-2x.

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Q: If you know that f(x) = f'(x) = f'(x) and that f(−2) = 6 while f(-1) = 6e then: [²² x · f"(x) dx =

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Q: Let f(x) = F(x) = || -6x6 +4 + 3x Find F(x), where F(x) is the antiderivative of f(x) that passes…

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Q: Solve the equation for exact solutions over the interval [0°,360°). 2√3 co cos 20= -3 ...

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Q: Find F'(x). F'(x) = F(x) = X + 5 D Need Help? (4t+ 8) dt Read It

A: Explaination of the answer is as follows

Q: The graphs of the polar curves r=5 and r=5+2sin(3ø) are shown in the figure for 0 is less than or…

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Q: gral: 2 [15√² (15√x² - 81 x4 -da stitution is correct for this integral? m(0) (0) (0)

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Q: 11-12 Sketch the graph of the function and use it to determine the values of a for which limx→a f(x)…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Using the substitution: u = x5 6. Re-write the indefinite integral then evaluate in terms of u. 13 √…

A: In this question first we rewrite the indefinite integral in terms of 'u' and after that substitute…

Q: 1. Calculate each of the limits below. Show your workings clearly in each case. (g) lim(z.)+(-2,5)…

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Q: True or false: At the point where x = , the tangent line to y = sin(x) is perpendicular to the…

A: We have to find, at the point where x=, the tangent line to y=sin(x) is perpendicular to the tangent…

Q: find the value of k given that both points lie on a line passing through the origin (k,-24) (5,40)

A: Determine the value of k given that both points lie on a line passing through the origin (k,-24)…