Graph the following polynomial function: f(x)= x³ + 2x² - 15x

Q: 7 Find f(x) dx for each graph of y=f(x), where f(x) consists of line segments and ff(x) 0 circular…

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Q: Find a formula for the nth term of the sequence in terms of n. 3 3² 33 34 1 1 15 20 25' 30' an = 1…

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Q: Determine if the series converges or diverges. Give a reason for your answer. 00 Σ n=1 Select the…

A: The given series ∑n=1∞13n-1+7. We have to determine whether the series is convergent or not.

Q: - -3 -2 -1 36 5- 4 3 2- 1 -3- --4- The function graphed above is: Increasing on the interval(s)…

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Q: What is the area of a triangle whose sides measure 15 inches, 18 inches, and 21 inches? Enter your…

A: We know area of the triangles is  sqrt[s(s-a)(s-b)(s-c)]  Where s is a semi perimeter

Q: The two numbers are (Simplify your answer. Use a comma to separate answers as needed.)

A: Product of the two number is maximum then the first derivative is zero

Q: Evaluate the indefinite integral /(cos(2x) - V +VIR √x +3¹ + + sec²(x)) dx.

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Q: X Let G(x) = ₁ tant dt. Then G(1) and G'(4) = ←

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Q: use geometric rules to solve the following integral

A: The given integral: ∫13-2x+8dxWe have use geometric rules to evaluate the integral.

Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

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Q: Find the work done by F in moving a particle once counterclockwise around the given curve. F =…

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Q: 2 A particle moves along a line with a velocity v(t) = - the particle from time t = 2 to time t = 4.…

A: Displacement equal to Integral of velocity

Q: A conservation organization releases 35 Florida panthers into a game preserve. After 2 years, there…

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Q: Find the exact area between y = x² and y = x for x ≥ 0.

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Q: A ballpark has a 20 foot tall fence at 320 feet from home plate. A ball is hit with equations (in…

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Q: d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

A: We need to perform differentiation.

Q: lim (t+Δt)2–4(t+Δt)+2-(t2–4t+2) Δt-0 ΔΕ

A: Consider,

Q: Write the following expression as an algebraic expression. sin(arcsin x + arccos x) O z√1-z²+z √2+1…

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Q: 34 x-²-2 y=-l y x= X

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Q: 1. At what values of x does g have a local maximum? X Answer (separate by commas): x = 2. At what…

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Q: 2) Evaluate: x* cos(x 5) dx. (A) 1/4 sin(x 5) + C (B) 1/5 sin(x 5) + C (C) sin(x 5) + C (D) 1/5…

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Q: A. (4,00) Suppose f(x)=√4x and g(x)=3x² + 3x-2. Then the domain of f(g(x)) is B. [-4,0) U (0.) C.…

A: As per guideline i can solve only first question

Q: A8. In the gym at Johnny's new school, there will be a moveable wall that can separate the gym into…

A: Perimeter of a geometrical figure is the sum of lengths of it's edges. therefore, the perimeter of a…

Q: Evaluate the definite integral given below. Submit an exact answer. Provide your answer below:…

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Q: At the end of each month, for 36 months, $300 is put into an account paying 7% annual interest…

A: ⇒FV=PMTeit-1ei-1⇒PMT=Periodic investment⇒i=rate per period⇒t=time in years

Q: f'(x) = x 100 + 1; (1, 4)

A: f'x=8x+1 Integrating both sides  ∫f'xdx=8∫1xdx+∫1dx fx=8lnx+x+C........ (i)

Q: For the vectors a = (3, 12) and b = (6, 9), find orthab. orthab Illustrate by drawing the vectors a,…

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Q: 5. Evaluate the following limits: (a) lim Inr xxx (b) lim In r →1-1

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Q: 1. Use the ratio test to determine whether the series -13 is absolutely convergent, conditionally…

A: The given series is: ∑n=1∞ en+1n 3n

Q: Determine the domain, critical numbers, and intervals of increase and decrease of f(x) = In(x^2-4).

A: f(x)= ln(x2-4) We have to find domain,critical numbers ,and intervals of increase and decrease

Q: Convert from rectangular to spherical coordinates. Use symbolic notation and fractions where needed.…

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Q: The height, h, in feet of an object launched straight up after t seconds can be represented by h(t)…

A: The height h, in feet of an object launched straight up after t seconds can be represented by,

Q: The functions f(x), g(x), and h(x) are shown below. Select the option that represents the ordering…

A: We have to find the order from least to greatest on the basis of average rate of change.

Q: 2. dy/dt+y=t², y(0) = 3

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Q: Find the solution of the given initial value problem. y(t) = y(t) = y(t) = y(t) = y(t) = y" - y = -…

A: NOTE: Refresh your page if you can't see any equations. . take Laplace on both sides

Q: 1. Jordan charges $20 an hour for tutoring. He currently tutors 6 hours a week. He know he will be…

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Q: 77. Simple epidemic. An influenza epidemic has spread throughout a community of 50,000 people at a…

A: Total population =50,000Let y be number of people infected then 50,000-y non infected people

Q: Consider the integral 9 3 L (²+2) dz dx (a) Find the Riemann sum for this integral using right…

A: To find out the left Riemann sum and right Riemann sum for the given integral.

Q: Find the derivative of f(x), where f'(x) = - +9 f(x) = ₁ So sin(t) - dt.

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: We have to estimate area using Mid point rule.

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: Ratio test  lim_(n-> infinity) | a_(n+1)/a_n| =p When p<1 then converges  And p>1 then…

Q: The graph below is of a function g'(x) for some function g(x) with domain (-∞0, ∞o). It consists of…

A: The graph of g'(x) is:

Q: Consider the following initial-value problem. f'(x) f'(x) dx = = 2 VX f(x) = I Integrate the…

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Q: Eliminate the parameter (NO SPACES). X = y = -t² + 2 and y = 2t² - 6

A: given,  x=-t2+2...................(1)given, y=2t2-6......................(2)

Q: h Let g be the function given by g (a) = (²-5t-14) dt. What is the a-coordinate of the point of…

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Q: du : = 8x7 − 4x3 + 9 and u = 2 when x = 1 - dx

A: Use separable variable of the equation

Q: Determine if the series converges or diverges. Give a reason for your answer. Σ n=1 2n 9n-4

A: By divergence test if the limit value finite then the given series is diverges

Q: uestion Completion Status: If the cost of selling y yards of fabric is given by C (y) = O O 10 3y 3…

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Q: The manager of a small apartment complex knows from experience that 6 units will be occupied if the…

A: 6 units will be occupied if the rent is $600 per month Let x be the additional unit

Q: III. 2. Consider the function x<0 0SAS1 (1) At what points is this function continues? (2) For each…

A: fx=1+x2, x&lt;0ex2,      0≤x≤11+x2, x&gt;1