Determine the x-intercepts of the parabola whose graph is given below. -7-6- 7111 1 2 3 4 5 6 7

Q: Find the average rate of change of the given function on the interval [4,5]. h(x)=5x2+7x−4 Enter…

A: To find the average rate of change of the given function on the interval .

Q: Answer the following questions for the function f(x)=x√x² + 16 defined on the interval -6 ≤ x ≤ 6.…

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Q: If f(x) is continuous and ſ² f(x)dx = 225.1, what is b [. Round your answer to two decimal places.…

A: If  is continous and , to find .

Q: 3 Sketch the region R bounded by the curves y = =, y = 0, x = 1, and x = 2. X Find the coordinates…

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Q: Inx 2. Let f be the function given by f(x) = for all x > 0. The derivative offis given by 1- ln x…

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Q: Differentiate. g(x) = log 29 (5x-4) g'(x) =

A: To differentiate the following function.

Q: Student's Homework Problem Evaluate the integral. J cos (ln(3x)) dx Student's Solution. 1 cos…

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Q: (Multiple Choice Question) If sec a = -3 = tan ß and a, ß € [T, 2π], then sin(a + 3) is equal to:…

A: Given that and

Q: Use a linear approximation (or differentials) (32.03) 4/5 estimate the given number. (Round your…

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Q: 3a If f(x) is continuous and ſ³ª f(x)dx = 496.8, what is a [" Round your answer to two decimal…

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Q: 2. A = 77₁b = 3 25 -1 3

A: Given, .If A=, than .

Q: Find the following derivatives. z and Z₁, where z = 6xy - 4x²y, x = 5s + t, and y = 5s - t Zs (Type…

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Q: For what values of p is the integral convergent? d. All values of p less than 1 O e. 8 1,0 All…

A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

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Q: Differentiate y = 7x³ +6

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Q: 1. Verify y(x)=c, sin x + c₂ cos x −(cos x)In(secx+tan x) is a solution to y" + y = tanx.

A: Question No. 1: To verify that  is a solution to .Note: Since the student has posted multiple…

Q: Find the logarithm using the change of base formula. log 717 log717= (Round to four decimal places…

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Q: Utt = √ √ √ 21 3 (2 + 4 cos (0)) do 2

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Q: The gas mileage m, in miles per gallon, obtained during a long trip is given by m = - Is-551 +15,…

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Q: 1. Verify y(x) = c, sin x + c₂ cos x - (cos x) In(sec x + tan x) is a solution to y" + y = tanx. 2.…

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Q: Find an equation of the ellipse with the following characteristics, assuming the center is at the…

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Q: The function v(t)= t³-812+15t, [0,7), is the velocity in m/sec of a particle moving along the…

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Q: Find the volume of the given solid. Enclosed by the paraboloid Z = 5x2 + 4y2 and the planes x = 0, y…

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Q: 5. Recall that y = sec-¹x (with domain x ≥ 1) means sec y=x and 0 ≤y</2 or T ≤ y ≤ 37/2. Use…

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Q: 2. For what values of n does this integral converge or diverge? Show all evidentiary work for each…

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Q: The curve of a function f (x) is given in the figure below and you are asked to draw on it   a)…

A: The curve of the function f(x) is shown as,

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

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Q: Solve for x. 3x = 22 Select the correct choice below and, if necessary, fill in the answer box to…

A: The given equation is

Q: Differentiate. f(x) = 15x e f'(x) =

A: Given Function is as follows

Q: Which of the following planes are parallel? P1: 15x-6y +24z = 17 P2: -5x + 2y - 8z = 6 P3: 6x - 4y…

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Q: d) How long after 1950 will the value of the painting be $6 billion? year(s) (Do not round until the…

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Q: Find f. f"(x) = -2 + 36x - 12x2, f(0) = 2, f'(0) = 18

A: Given, .Given,  f(0)=2, f'(0)=18.We know,

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

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Q: A ball is thrown downward from the top of a 20 m tall building with an initial velocity of 15 m/s.…

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Q: The equation represents Select one: O a sphere with center(0, -5, 3) and radius 16. O None of them O…

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Q: 7. A = [1 2 3], B = 3 4 5

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Q: Determine the point(s) at which the graph of the function f(x)= horizontal tangent line (when f'(x)…

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Q: Find the length of the curve x = 6y from y = -5 to y = 5. Write the exact answer.

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Q: Consider the parallelogram induced by the vectors 71 I= = Q [³] 2 and 2 = [ -x + where x is an…

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Q: Suppose z = x² sin y, a = 48² t², y= 8st. A. Use the chain rule to find and all x, y, s and t in…

A: z=x2-t2 ,y=8st

Q: 4. §11.5. Q10. Use appropriate form of the chain rule to find dw/dt. w = √√√1 + x2yz¹x; x = ln t, y…

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