5. Find two antiderivatives of f(x) = x0.8 - 3e²¹ + π cos(2x)

Q: dy Write the function in the form y=f(u) and u = g(x). Then find dx y = 9 8x 5 U= (Type an…

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Q: (a) Using the figure, estimate [²1x f(x) dx ≈ fos f(x) dx. (b) If F is an antiderivative of the same…

A: Using the given figure, estimates

Q: The figure below shows the derivative F'. If F (0) = 15, give (x, y)-coordinates of all local maxima…

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Q: Consider the functions f(x) = 6 arcsin (6x) g(r)= 12arctan (a) Find the derivatives of f(x) and…

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Q: Find the indefinite integral. [9√ w dw = +C

A: We know that,.We have to find the integration of .

Q: Find the volume of the solid generated when the shaded area is revolved about y = -1. y y = 2x y=x²…

A: To find the volume of the solid generated when the shaded area is revolved about .

Q: Use the summation formulas to rewrite the expression without the summation notation. S(n) = k = 1…

A: The given series

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

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

Q: The equation of a hyperbola is (y + 3)2 - 16(x-3)² = 16. a) Find the center, vertices, transverse…

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Q: The distance from the home plate to the fence in dead center at a certain baseball field is 387…

A: Let x feet  distance from the fence in the dead center to third base The given figure

Q: 2. The behavior of the system is a saddle. y' = -x + y, = -x-y

A: Given system is x' = -x +yy' = -x -y

Q: 9. In the following exercise: i. Identify the function's local extreme values in the given domain,…

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Q: d. h(x) = x3 3 -2 - 2x² + 4x, 0≤ x < ∞0 e. f(x) = √25-x², -5 ≤x≤ 5 f. g(x) = 0≤x≤ 1 x-2 x²-1'

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

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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: Please do part a)

A: The objective of this question is to find the general solution of the given linear nonhomogeneous…

Q: Express equation in the form y = f(x) (eliminate the parameter). a. c(t) = (t-¹,t-²) b. c(t) = (et,…

A: There are three different questions given. As per our company guidelines, we are supposed to solve…

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: below. nowing question about the functions whose derivatives are given What are the critical points…

A: Since we are given with multiple number of question answer will be according to the guideline Given…

Q: Step 1 of 4 Find lim foo 10 3 Enable Zoom/Pan

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 − x² −…

A: y=4−x2−ln⁡(12x+1), point (0,4)

Q: Find the degree 3 Taylor polynomial T3 (x) of the function f(x) = (7x - 1) 4/3 at a = 4. T3(x) =

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Q: Find the radius R of convergence for the series R = n=1 2x+1 87+1 n8

A: The given power series .The aim is to find the radius of convergence of the power series.

Q: 2. Evaluate the integrals. a. b. C. L (6x - e²) dx [²₁12 +2 (2 + 2y)² dy 7T/4 3 3 sec Ꮎ tan Ꮎ ᏧᎾ

A: .

Q: f(x) = -3x + 5 g(x) = x² = x² + 2x + 15

A: Given the function   we have to find the value of (gof)(x)

Q: 3x dx 1+e³x

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Q: Click on the graph to view a larger graph Use the Law of Sines to find the indicated side a given in…

A: Given,

Q: Evaluate: [8zº · sec² (25) dx =

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Q: 06

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Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: d. y = 2x+1 x²-4 5x+1 e. y = 2√x-1 f. y = sin x ln x-1 x²+1/

A: To find the derivative of the following functions.

Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

A: The given equation is; 9cos(2t)=9cos2(t) -2, [0,2pi)

Q: Find the area A of the region that is bounded between the curve f(x) = −2 sin (2) over the interval…

A: Given that the region bounded by the functions  and  over the interval

Q: k. y = ln x 1. m. y = y = 5 cos x + 8 lnx + 3x³ 3x¹+3x²+1 x

A: Given: y= ln(x)Solution: y= ln(x)Differentiating y with respect to x we have dydx= ddx(ln(x)) ⇒y′=1x

Q: Find all exact solutions on the interval 0 <0 < 360°. If there is more than one answer, enter them…

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Q: Given the parametric equations Compute the derivative dy/dx as a function of t. -t³, y = 6-3t x =…

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Q: Convert the following equation to polar coordinates. x=2y² The polar form of x = 2v² is. (Type an…

A: Given,

Q: 8. Find the local maximum and minimum values and saddle point(s) of the function ● • f(x, y) =…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: Use the right Triangle below to identify the following trigonometric values. Please can I get the…

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Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

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Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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Q: Sketch the graph of the quadratic function. f(x) = x² — 20x – 800 - -

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Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

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Q: y=√x, 0 ≤x≤ 81

A: Given that the expression

Q: Solve the rational inequality x²-9 x² - 49 -≤0.

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Q: I For f(x) = x-2 4x+20 (a) f(-6) (6) f(2) (C) f(-5) (a) f(a+3) find

A: The given function is To find:-

Q: A physician invests $24,000 in two bonds. If one bond yields 6% and the other yields 12%, how much…

A: Given that a physician invests 24000 dollars in two bonds , 6% and 12% , total annual income 1980…

Q: I

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Q: 19. If $100,000 is invested at 6% compounded monthly for 7 years, the compounded amount is given by…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The objective of this question is to find the critical numbers of the given function f(x) = 12x -…