Question 10 of 10 < Which constant c would best be described as a constant of integration? ° [ f' (e) dx = f(e) ° [ef (x) dx = ef f(x) dx ° [x² dx = x²+1 c+1 o [cdx = ex [ f'(x) dx = f(x) + c

Q: Given the graph of f (x) below, what is the open interval(s) over which f'(x) is negative

A: The given graph is,

Q: Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is C(x, y) = 24,000+ 64x +…

A: Weekly cost to manufacture x bicycles and y tricycles is

Q: Find the area of the region enclosed by the curves between their intersections. y=-3x² and y= -√√x

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Q: Find the indefinite integral. 20eSt /√30 √5 + est dt Do not include the constant "+C" or any…

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Q: Question Find the equation of the line tangent to the graph of f (x) = 4 cos (x) at x = Give your…

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Q: Find all the values of a such that the given series would converge. 9n (xn) (n + 1) (n +11) n=1 The…

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Q: Given that 3 L³ex ex dx = e³ - e, use this result to evaluate [²³3 3ex + 2 dx.

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Q: In ( If t(x) = In x 4 cos x 2x²+8x+6 t'(x) = find t'(x). Provide your answer below:

A: t(x)=ln[x5/4+8x+6)]

Q: A Let f be the function defined above. For what value of c, if any, is f continuous at x = 3 ? B (C)…

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Q: Use the alternative curvature formula k = following parameterized curve. r(t) = (4 + 2t²,2t,0) K=…

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Q: Establish the identity. 2 sec 0 csc 0 + 3 sin 0 cos 0 5 tan 0 Write the left side of the identity in…

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Q: A hall 180 feet in length is to be designed as a whispering gallery. If the foci are located 40 feet…

A: Find your answer below :Length of hall= 180 ftLet the center be orginla= 180 fta=90b=height of…

Q: Solve the equation. 2 9-9 sin 0 = 6 cos ²0

A: 9−9sin⁡θ=6cos2⁡θsin2⁡θ+cos2⁡θ=1cos2⁡θ=1−sin2⁡θ

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/hand ship B is sailing…

Q: A point moves along a straight path. The function f(t) = log₂ (t) determines the distance (in…

A: The function  determines the distance that the point traveled in terms of the number of seconds.The…

Q: (j) Evaluate the following line integrals, where C is given (i) fcds where C: x = t³, y = t¹,1 ≤t≤4

A: Consider the line integral

Q: If a $500 loan is paid off with a payment of $615.72 after 1 year, what is the interest rate…

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Q: Evaluate the integral: fe²* sin 3xdx

A: The given integral .The aim is to evaluate the given integral.Formulas used:

Q: Given f(x) = 5x + 3 and g(x) = x² - 4. Find the composition fog(x)

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Q: 7) Find the relative extrema of the function f(x) = sin² x+sinx in the interval [0,2π].

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Q: Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 2¹, where t is given in…

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Q: In ² x→∞ 9x Explain why we can use L'Hopital's Rule in this problem. Use it to find the limit.…

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Q: Consider the function f(x) = 6√√x + 7 on the interval [4, 8]. (A) Find the average or mean slope of…

A: We solve the given problem  using the concept of the mean value theorem.

Q: Question 4 of 10 Evaluate the integral [(8 + sint) ³ cost dt using the substitution u = 8 + sint.…

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Q: Given the equation: x² - 8x + y² + 4y = 1 Use completing the square method to convert this equation…

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Q: The 4th degree Taylor polynomial for sin(x) centered at a = is given by the following. sin(x) = 1 +…

A: Rewrite asx=39

Q: Evaluate the integral fix²ln(x) dx 2080 O9ln (3) - 25 ○ 9ln (3) - 26 ○ In (39)-26 + C ○ 9ln(3) + 26…

A: The given integral is x2ln(x), limit from 1 to 3.

Q: Which of the following satisfies the differential equation ď²y dx² 9y = 0. A. y = e³x B. Y = e -3x

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Q: 1. The graph of f is shown to the right. The function F(x) is defined by F(x) = f(t) dt for 0 ≤ a ≤…

A: Given that the function F(x) is defined as The figure

Q: let f be a function with f(0)=1 and f(x)=cos(x2) a) find the linearization of f at x=0 b) estimate…

A: L(x) = f(a) + f'(a)(x-a).

Q: You are given that cos(A)=−3/5, with A in Quadrant III, and cos(B)=33/65, with B in Quadrant I. Find…

A: The objective of this question is to find the value of cos(A+B) given the values of cos(A) and…

Q: What is the volume of the solid obtained by rotating the region bounded by y = √√x, y = 2 - x and y…

A: We find the volume of the solid obtained by rotating the region bounded by y = , y = 2 - x and y = 0…

Q: Name the quadrant in which the angle 0 lies. sin 0>0, cos 0 >0 The angle 0 lies in which quadrant? O…

A: Sin(theta)&gt;0, cos(theta)&gt;0

Q: Find the area of the region bounded by the graphs of the given equations. y = 5x + 6, y=x²

A: y=5x+6 y=x^2

Q: Compute the area of one loop of the polar curve given by r = 4sin(50). (Hint: Start by determining…

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. πχ 9…

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Q: Find the length of the curve defined by x = et 4t, y = 8et/2 over the interval 0 ≤ t ≤ 4. O e6 +16…

A: x=et

Q: Find the equation of the tangent plane to f(x, y) = ey at the point (ro, yo) = (2,0).

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Q: The solution of a certain differential equation is of the form y(t) = aet + bet, where a and b are…

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Q: A person invests 4500 dollars in a bank. The bank pays 5.25% interest compounded monthly. To the…

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Q: 1 Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = X The…

A: Determine the average value of  over the interval from  to  where

Q: Find the exact value of the following expression. (0)

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 6 [[P+…

A: Let assume,

Q: What is the first derivative of t(x) = arccsc(x4). Sorry, that's incorrect. Try again? t'(x) = 7 4 1…

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Q: Suppose that a person is taking a walk along a long straight path and walks at a constant rate of 3…

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Q: 10. x³ .3 = 2x-y x+3y

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Solve the following triangle. A = 30°, B=30°, c=6 Ca (Simplify your answer.) ax (Type an integer or…

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Q: What is the first derivative of s(x) = logs xsin x 7x²+8x+2

A: s(x)=log5⁡(x6sin⁡(x)7x2+8x+2)loga⁡(mn)=loga⁡m+loga⁡nloga⁡(mn)=loga⁡m−loga⁡n

Q: ㅠ 61. · S₁ f(x) f(x) dx, where f(x) = sin x + 1 if x ≤ π/2 2 cos x + 2 if x > T/2

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Q: 76. Periodic motion An object moves along a line with a velocity in m/s πt given by v(t) = 8 cos Its…

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