Find an expression for a cubic function fif f(1) = 36 and f(-5) = f(0) = f(2) = 0. f(x) = Need Help? Submit Answer Read It Watch It Master It

Q: Given that answer= 5 f(x) dx = 3' what is 11 f(w)dw?

A: Property of Integral : 1.∫abf(x)dx=I ⇒ ∫abf(w)dw=I   2.∫abf(x)dx=I ⇒ ∫baf(x)dx=-I

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Q: Given: R(t) = ti + t2j + t3k, find the curvature and the radius of curvature at any point.

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Q: d(t): 6t 3t + a 3/6 for for α 20 0<t< 1 3 7351631 5 <t< for 13 11 3t+ for 12 6 where d denotes the…

A: Given dt=6tfor 0&lt;t≤133t+αfor 13&lt;t≤56βσfor 56&lt;t≤13123t+α2σfor 1312&lt;t≤116

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Q: Find all intervals on which f(x) is increasing. f(x) = x³ + 7x² + 15x + 45

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Q: Consider the function f(x) x² + 7x + 12 2-5 a. Find the first derivative. f'(x) = b. List any…

A: Solution is here

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Q: [2re™² dr a. 2xe*² + C b. x20x³ 3 @. ex² + C d. x²e² + C + C

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Q: S 3 T 2 For the above rational function f(x)= 3 Q 17 2x² +2.5 . identify the interval on which f is…

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Q: A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 16…

A: solution of part A So the stone is 829 feet high 3 second later.

Q: Consider the function f(x) = x 52+4 x + 1 a. Find the first derivative. f'(x) = b. List any critical…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: The derivative of f(x)=sec x is Select one: a. sin x COS X O b. C. O d. sin ² x 2 COS .X sin x cos²x…

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Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

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Q: Find the indefinite integral. | 15 7 19 – 14 d t8 - dt

A: We have to solve the integral

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Q: y 5 4 3 2 - 2 3 сл 1 2 В 5 6

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Q: Solve (x² 1 + 2y) dx + (1 - x²) dy = 0; when x = 2, y = 1 1) (x + 1 + 2 ln x 1|) b. (x + 1) y = (x −…

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Q: Use the graph of the function to estimate the local maximum and the local minimum of the function.…

A: We have to use the graph of the function to estimate the local maximum and the local minimum of the…

Q: Solve (x² 1 + 2y) dx + (1 - x²) dy = 0; when x = 2, y = 1 1) (x + 1 + 2 ln x 1) b. (x + 1) y = (x −…

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Q: Which one of these is a vector equation for a line in 2-space? y = 3x + 7 =(-2, 1,0) + s(-4, 2, 1) +…

A: Given ○y=3x+7○r→=-2, 1, 0+s-4, 2, 1+t1, -1, 2 s,t∈R○3x+4y+7=0○r→=2, 1+t-1, 3 t∈R

Q: II. Evaluate the following integrals: 7 ax 52X+7 13. [ sin x 2 - cosX (1x dx 14. S MA sec² 3x -dx 1…

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Q: This can't be correct because the equation of the tangent line was incorrectly transcribed.  The…

A: Note: Since, the student has asked to solve the given problem with correct transcribed way so that…

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 9 [(u - 2) du Submit…

A: Topic:- application of integration

Q: (1+x²)y' + 2xy = (1+x²)y

A: Given problem:- 1+x2y'+2xy=11+x2y

Q: 2. What is the maximum value of the parabola shown? y = - 2(2x − 1)² - 5 a) x = -1/ b) y = -5 c) x =…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  factor out 2

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated by…

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Q: Determine the type of function shown in the graph below. a) Polynomial function

A: We are asked to determine the graph of the function

Q: Solve the separable differential equation dx 2 dt and find the particular solution satisfying the…

A: Please see the below picture for detailed solution.

Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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Q: If f(x) = 2x². -x-2 and g(x) = x + 2, then fog and go f may be expressed as f(g(x)) = ax + 3x +y and…

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Q: ΣΠ n=1 a. 1+4+1 6n 61 5 b. 41 5 is equal to c. The series diverges. d. 66 5

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Q: Differentiate the following. Do Not Simplify. y=(sinx)(lnx)_ b) y=(e³+√cos x) c) y = º /1—tanx 3x³…

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Q: Evaluate the integral (2x + 4) (2² + 4x + 2) dz by making the substitution = x² + 4x + 2. Submit…

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Q: If z = tan d. 6 b ¹ (²) 2 c. d 2 1+z² 1-z² 1+z² then sin x = 22 1+z² None of the choices

A: To find the value of sin(x) in terms of z.

Q: The normal vector of x+2y-1-0 (0, 2) (2, -1) (1, 2) O (1, -1)

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Q: Evaluate the following integral using integration by parts. Sxe ³x d dx Use the integration by parts…

A: We have given to find integral  ∫xe3x dx Let,  I=∫x e3x dx Using integration by parts ∫u dv=uv-∫v du…

Q: the interval that f(c) = k. there exists a value c, where <C Must there exist a value of c in the…

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