Given f(x)dx= 3 and 3 } pixkidk g(x)dx= -1, find 3 158x [5f(x)-2g(x)]dx. ...

Q: Find the area under the given curve over the indicated interval. y = 4x; x =1 to x = 3

A: y=4x, x=1 to x=3

Q: 1 Answer the following questions about the curve: 2x³ - 3y² = 16 a) Find dy/dx. b) Find d²y/dx². c)…

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Q: When Abraham jumps into the air, his height in feet above the surface of the water is given by h =…

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Q: Find the area under the given curve over the indicated interval. X5 y = 6x + 2x+5e; x = 1 to x = 3

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Q: Calculate the Riemann sum R(S, P. C) for the function f(x) = x² + 8x, the partition P= {4,6,9, 12)…

A: Solution

Q: 2. For f(x)=√14-2x (a). find the domain. Write your answer in interval notation. (b). Graph…

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Q: Find the area of the region between the curve and the x-axis. 2 f(x)= x(x² -26), from - 5 to 5.

A: The region is bounded by curve  and x-axis from

Q: antiderivative. Use C for the constant of integration. 1 3 cos² (4x) F(x) = (In(|sec (4x) +…

A: Given The aim is to find the antiderivative of .

Q: Find the value of f(x) = -x +7, a=5 1 OA 2 df 1 dx OB. 7 O c. 2 1 OD. 7 at x = f(a).

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Q: Find all solutions of the equation in the interval [0,2+). 2 sin 20-3 sin 0+1=0

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Q: Given the following piecewise function, evaluate lim f(x). X-6 Select the correct answer below: -68…

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Q: Given f is concave down and ƒ (4) = −2 and f1 (4) = 3. What is the estimate for = 4? Is it an…

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Q: Determine the value of the following definite integral. St dz 15x+20x³ 3x²+2 Leave your answer in…

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Q: Graph the following function. Then use geometry (not Riemann sums) to find the area and the net area…

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Q: Given f(x) = -√√/16 - x is concave up on its domain, what is an estimate for f (4.9) using the local…

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Q: e² S 1 In P dp р

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Q: Express your answer as a polynomial in standard form. f(x)= x - 1 2 g(x) = 3x² - 4x – 12 Find:…

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Q: Find the arc length of the graph of (y − 1)3 = x2 on the interval [0, 8]

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Q: Find the area of the part of the plane with vector equation r(u, v) = (6 + v, u - 5v, 9-4u + v) that…

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Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

A: The given equation is;2sinxcosx + sqrt(3)sinx=0

Q: Evaluate the following improper integral. So e 0 e-bt sin (at)dt, where b=2, a=1 Round your answer…

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Q: Hi b and c are incorect

A: From the given table

Q: Consider the following. f(x) = 48x − 4x2 Find  f '(x). f '(x) =        Find the critical…

A: The objective of this question is to find the derivative of the function f(x) = 48x - 4x^2 and then…

Q: 2 2 Find the area of the region between the curves y = 4x² - 4 and y=-3x +3 from x= -1 to x= 1.

A: The required area is the shaded region in the graph

Q: If f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) Find the slope of the tangent…

A: Given that the expression f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) we have to…

Q: DRAW THE GRAPH OF A FUNCTION WHERE limr-a f(x) DOES NOT EXIST FOR SOME INTEGER a. EXPLAIN WHY THE…

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Q: Write the integral as the sum of the integral of an odd function and the integral of an even…

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: Write an equation of the graph in the final position. The graph of y= 2* is shifted 4 units left and…

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Q: In 1619, the German astronomer Johannes Kepler showed that the square of the period of a planet (how…

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Q: Given the three functions below, which expression equals (zo go t) (x)? g(x) = |3x| Answer 6 ○ |3 (8…

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) =…

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Q: Write the following expression in expanded form. +5 log X+7

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Q: I need to find whether a series converges and if so I need to find the sum. the series is: the sum…

A: the series is: the sum from k=1 to infinity of 1/(16k2 - 4)

Q: A particle moves in a straight line with its velocity (in m/s) given by v(t) = -1/-1, t² 2 ≤ t ≤ 2.…

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Q: 5. Consider the function f(x)=x+2x-1, whose only zeros are x = -2.1 and x 0.7. a. Find the critical…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: The population of the world in 1987 was 5 billion and the continuous growth rate was estimated at…

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Q: 2. Find an equation of the plane through the point (1,3,2) and perpendicular to the vector (-3, 1,4)

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Q: x+6 (x + 2)2 dx

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Q: Which of the following are solutions to the following integral. X 3x² - 12x □ Check ALL that apply…

A: The given integral is x/(3x2-12x).

Q: Determine the integral by making the appropriate substitution. √ 2x (x² +17) 3³ dx

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Q: S 3 6x²4x³ dx 24

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. S² dt

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Q: A particle travels according to the velocity function shown below. Find the displacement of the…

A: The objective of this question is to find the displacement of a particle that moves according to a…

Q: A restaurant frequently offers a special prix fixe meal and has been charging $170 per person for…

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Q: Question Find the average rate of change of the function in the graph shown below between x = -1 and…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: The graph of f(x) is given below. Select each true statement about the continuity of f (x) at x = 3.…

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Q: Find the area of the region between the curves y = x(1-x) and y = 4 from x=0 to x = 1.

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Q: 5 -5 O 10 X

A: Given that the graph of the circlewe have to find the equation of the circle