3) Derivative Applications a) A particle moves according to the function f (t) = -9t2 + 15t, t 2 0, where t is measured in seconds and distance is in feet. Phi iv) Find the acceleration after 1s? after 3s? v) Find the total distance traveled during the first 8s.

Q: xỉ (9x" –10) where "a" is equal to The antiderivative of f (æ) = - is F (x) : 30 (A B 1 6. 1 12 E…

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Q: -ges 3n +n 9n b) L7-2)n+1n n! n=1 (-10)" d) 242n+1(n+1) n2 (2n – 1)! n=1 0=

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Q: e Th

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Q: 5. What is the maximum vertical distance between the line v1+2 and the parabolh v for

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Q: Find the gradient of the function at the given point. In(x² – y) – 8, (3, 8) Vz(3, 8) =

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Q: Find the volume generated by revolving the region bounded by the given curves about the y-axis. Use…

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Q: xi (9a“ –10) The antiderivative of f (x) = is F (x) = 30 where "a" is equal to

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Q: y" + y = cos x x - sin x

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Q: The general solution of xdy- ydx = x?e*dx is A у-хе*- сх-0 B y+xe*+ cx= 0 C c) x-ye*+ cx=D0 D)…

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Q: Evaluate: intdfracdæleft(r- 4right)left(z - lright) X-4 + C X-1 None of the given choices X- X-x 3in…

A: We can write the given expression as integration of 1/((x-4)(x-1))dx .then using partial fraction…

Q: Given that lim f(x) = 0 lim g(x) = 0 Xa lim h(x) = 1 xa lim p(x) = 0 lim g(x) = 0, evaluate if the…

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Q: The graph below is comprised of transformation of tool kit functions. 5- 4 2 -6 5 -4 -3 3 5 -2 -3+…

A: Given query is to find the the function of the graph.

Q: v (0) = 2, y(0) =

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Q: Fourier series 2 (a) Define a Dirichlet function. (b) Assume that f(x) is a function of the form…

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Q: dy When reduced to a linear DE of order one in z, the Bernoulli's equation +yl-)= 3x3y² becomes dx…

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Q: Find the gradient of the function at the given point. In(x² – y) - 9, (3, 8) z = Vz(3, 8) =

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Q: Let be the antiderivative of X). Determine the value of C if X = 12 and y= 26. (use radian form of…

A: See the details solution in below

Q: Find an equation of the tangent plane at the given point: F(r,s)= 2r3(1/s0.5) - 2(1/s4), (2,1)

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Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = Vx2 + y2, P(7,…

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: see below the answer and calculation

Q: The integral expression Xsin (2x)dx can be evaluated using integration by parts of the form Sudv=…

A: Here, the given integral is: ∫xsin2(2x) dx

Q: 7 Given tan A = on and that angle A is (120 in Quadrant I, find the exact value of sin A in simplest…

A: Follow the procedure given below.

Q: 21.Which of the following is a particular solution to the differential equation when x = e and y =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: cos a 26.If S (cosº x · B)dæ +C, what is the B? %3D OA. - cos a 1 O B. csc z 1 O c. sec a O D. - sin…

A: This is a problem related to integral. Based on the general formula we will answer the question. As…

Q: Consider the following. 7X - 6* lim x-0 4X - 3* Use l'Hospital's Rule to find the exact value of the…

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Q: Which of the following is true? ® Ssin(3x)cos(4x)ax =S sih(7x)= sin(x) A 2 ® Jsin(4x)cos(3x)ax = […

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Q: 2x +1 The antiderivative of f (x): %3D is (x – 3) (x – 2) - - x- 3 A F(2) = 5 ln x – 2 +C - 3 B None…

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Q: Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√x. Find…

A: Explanation of the answer is as follows

Q: xcos-1(x) If x =0.97 and y = 0.85, then value of C in the antiderivative of F(x) = is (use radian…

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Q: S¥×(2x³ + 1)dx 3,

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Q: What is the minimum point of the curve y = x2 – 6x + 4  Please make the solution comprehensible.

A: This question is based on application of derivative.

Q: sec* ede tan 0+9 tan e

A: ∫sec2θ tan3θ +9 tanθ dθLet x=tan θ.=∫1x3+9xdx=∫19x-x9x2+9dx=∫19xdx-∫x9x2+9dx=19lnx-118lnx2+9Add a…

Q: dx /3 X-X

A: Find integral

Q: The integral expression J xsin (2x)dx can be evaluated using integration by parts of the Judv = uv-…

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Q: Which of the following is true? - Scot*(x)csc°(x)dx = - csc (x) 2csc7(x) csc°(x) + C 9. 7 B All for…

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Let the volume of the cone = V cubic feet Given  dVdt=20 cubic feet per minute. We have to find dhdt…

Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos"(x) for x = 0.108 and y =…

A: See the details solution in below

Q: Find the area under the given curve over the indicated interval. y= 5: (-2, 1) The area under the…

A: We can find the area under the curve as below.

Q: Let x = 1.56 and y = 3.66. Determine the value of C when you evaluate cot(2x)dx (use answer in 2…

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos*(x) for x = 0.427 and y =…

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Q: Suppose that f and h are integrable and that: L f(x) = -1, f(x) dx = 5, h (x) dx = 4 , Find: %3D %3D…

A: Answer and explanation is given below..

Q: xcos-(x) If x =0.34 and y = 0.12, then value of C in the antiderivative of F(x)= is (use radian form…

A: If x=0.34 and y=0.12 then find the value of C in the derivative of function F(x)

Q: ind the definite integcal uoing any method. 3/2 x13-2xdx

A: Follow next step

Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: Find the angle 0 between the vectors in radians and in degrees. u = 4i + 2j + k v = 2i – 4j (a)…

A: u=4i+2j+kv=2i-4j

Q: y = -2x + 8 only 5 points on the graph KAe CEN OSSN CONTY CONCOT FOLLTS 14 CHLDREN 2 123 45 6 7 8 9…

A: Discrete domain : where there is difference between domain elements. Continuous domain: where…

Q: The linear approximation at x=0 to sin(6x) is A+Bx where A is:    and where B is:

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Q: The integrating factor of the LDE y =x-2ycotx is A cos?x B sin?x C sec?x D csc?x

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Q: 2. se integration by pacts to eval integralig x² In (3x)dx niz

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Q: Solve the given initial-value problems. 4.43. xe" dx +(y-1)dy 0; y(0) 0

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