Find the relative extreme points of the function, if they exist. Then sketch a graph of the function. f(x) = -x³+27x-58

Q: ["h h(x) dx such that A expresses the area of the region between the functions y = el.5, y =e-1 and…

A: To write an integral in the form  such that A expresses the area of the region between the functions…

Q: You are playing on the beach with your dog, Ohana. You throw the ball into the water at a point that…

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Q: #1.) cotxdx √9-in sinx ત્ર

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Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

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Q: #2.) S sec secx tanx sinx (secx) dx

A: we need to find out the integration.

Q: (2) Let f(x, y, z) = x²y + y²z. Find the directional derivative of f at the point (1,2,3) in the…

A: The given function is To find :- The directional derivative of f at a point  in the direction

Q: We have found the following Maclaurin series. x4n 142n (2n)! Now we can use this to find the…

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Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

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Q: nd the general solution of 2 = Sin x

A: y' = sin2x

Q: Estimate the area under the graph of f(x) = x² +5 over the interval [0, 10] using 10 approximating…

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Q: 9. Which derivative does the limit lim h→0 (2+h)²2-4 Ih (A) f'(2) where f(x) = x² (B) f'(2) where…

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Q: Given that /1 3 - 3م = ex dx + (ی - آe)3 - e, use this result to evaluate 3 3ex + 4 dx.

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Q: x²+3x-130 lim 2 x-10 x²-100

A: L=limx→10x2+3x−130x2−100

Q: Determine if Find the limil if the sequence converges. 5-5n an 4 + Sn the sequence [an] converges or…

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Q: :) = yzi + xzj + xyk _: r₁(t) = ti + 2j + tk, 0 ≤ t ≤ 4 _: r₂(t) = t²¡ + tj + t²k, 0≤t≤2

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Q: 10) tan x = 3.7 A) 1.31, 4.45 1.31, B) 1.31, 2.88 C) 1.31, 4.97 D) 1

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 43 km/h…

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: Solve a Consumers' or Producers' Surplus Problem. A sports watch has a price-demand equation given…

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Q: Find the critical points of f (x,y) = (x³y-y³) 5

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Q: Given the graphs of polar equations: r = 1 and r = - 2 sin 0, (a) Set up the integral that gives the…

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Q: 10. Consider the following two 3 x 3 matrices -1 3 3 1 -2 -1 1 -2 -2 (b) ( (c) A = 1 1 AB and BA. (…

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Q: Find the exact value of cos 225. State restrictions on the following f(x): X x²-9

A: Use the formula:

Q: * Find the general Solution of :- - dy dx = 3 Sec X

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Q: Find the first three nonzero terms of the Maclaurin series for the function. 2 (1²x) f(x) = - cosx-

A: f(x)=−cos⁡x−(21−x)A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

Q: 7. Find lim to talk A. 1 C. -1 B. 0 D. does not exist

A: We have to evaluate the limit.

Q: PLEASE PLEASE HELP ME WITH THIS QUESTION, The x y-coordinate plane is given. The curve starts at the…

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Q: (Section 4.3) Your task is to estimate how far an object traveled during the time interval 0 ≤t≤ 8,…

A: The given table time (sec)012345678velocity (feet/sec)2610111417182123

Q: Given the parabola: x = 3(y + 5)² - 4.

A: x=3(y+5)2−4We are comparing the equation withx=a(y−k)2+h

Q: Find the area A of the sector of a circle of radius 20 centimeters formed by the central angle 1/9…

A: Radius of circle=20 cmCentral angle=19 radian

Q: Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the…

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Q: Evaluate the integral by interpreting it in terms of areas. L² (3x-14) de Part 1 of 3 We are…

A: To evaluate the following integral by interpreting in terms of areas.

Q: Assume f' is given by the graph in the figure. Suppose f is continuous and that f(0) = 0. (a) Find…

A: The antiderivative of a function f( x) is a function F(x), such as d/dx (F(x)) = f( x). The general…

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (0, 6) for…

A: Maxima and minima

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

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Q: 9 √x Find all critical numbers of the function f(x) = 7√x- If there are multiple critical numbers,…

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Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

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Q: 3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain:…

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Q: Solve the following integration :- S [ 5 Cos x dx

A: we need to find the integration.

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Q: Question 3.1. Use integration by parts to solve the given indefinite integral and thus evaluate…

A: By using integration by parts to solve the given indefinite integral and thus to evaluate…

Q: An​ open-top cylindrical container is to have a volume 216 cm3. What dimensions​ (radius and​…

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Q: Find all solutions of the equation. +√√2=0 6) 2 cos x + 1

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Q: Express the limit as an integral. S 4 lim (7(x)² - 2(x ) ³)Ax over [0, 4] n→ ∞ i = 1 2 3 7x²-x³ x)…

A: An integral of a function f(x) in the interval [a,b] represents the area between f(x) and…

Q: Use a half-angle formula to find the exact value of tan 112.5°. tan 112.5° = √2 21 2 16 X 5

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Q: f(x) = 2x + 4 sin(x), 0≤ x ≤ 2π

A: The given function is

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2, -5, -3) (a) u x V 29i+ 4j + 26k (b) V x u…

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