ss メy(+3) V : Ans: 5

Q: The graph of the velocity (in km/h) of a car that is accelerating is shown in the figure, where t is…

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Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

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Q: The following data lists different investment amounts (X) and the amount of interest (Y): X5 Y 2.5…

A: Here is the solution:

Q: 4. Find 2+1dt O V4x+1 O V16x? +1+v2 O 4/16x? +1 O V16x? +1

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Q: Find the limit. Use l'Hospital's rule if appropriate. If there is a more elementary method, consider…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 8 + x2 dx

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Q: 1. The planes defined by the equations x + 2y – 2z = 3 and 2x + 4y - 4z = 7 are parallel. Find a…

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Q: Find the linear approximation of f(x) = sin x, for x close to 0

A: The given function is: f(x)=sin x To find the linear approximation of it close to 0.

Q: 3 Find the arclength of the curve x = 3 t² with 5 <t < 6. I.

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Q: 3n3-2n2+4 6. Determine by the limit comparison test if Ln= n=D1 converges or diverges. n7-n3+2

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Q: RELATED RATES Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35…

A: Use rate of change concept

Q: Given that lim f(x) = 0 x-a lim g(x) = 0 lim h(x) = 1 xa lim p(x) = 0 lim q(x) = 00, xa evaluate if…

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Q: 7. Find the intervals of concavity for the function and state the points of inflection. =x*-2x²+x-2…

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Q: Show that the following functions satisfy Laplace's equation 0. dy? %3D (a) f(r, y) = r*y – xy³

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Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Find the…

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Q: 3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t) = | f (x)dx feet,…

A: answer is in next step

Q: Find the limit. (If an answer does not exist, enter DNE.) lim (x + Ax)² – 4(x + Ax) + 9 – (x² – 4x +…

A: In this question we can find limit.

Q: Find the indefinite integral and check the result by differentiation. (es + sec?e) de Step 1 To find…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

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Q: Solve the system, or show that it has no = is any real number.) +X- -y = 5

A: Given system of equation 34x+12y=5     . . (1) -14x-32y=1   .. (2)

Q: If f(x) = %3D

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Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t² (in…

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Q: Given r = e-, find the following. A Determine the derivative in terms of 0. Show each step and…

A: First we find dy/dx

Q: Consider the functions. f(u) = u + u g(x) = cos (x) Find the following function and derivatives.…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

A: We have to find the solutions

Q: 1. A loan charges in BDO Bank 12.5% simple interest for 4 year, 80,000 Pesos? A. Compute for the…

A: We have to find the total interest of the loan and the total amount that must be paid.

Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)" 6n + 1 n = 1

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Q: y10) f(x, у) %3D In x9

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Q: 4 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5 The plot above is created with the parametric equations Sæ(t)…

A: From the graph we can see that in horizontal direction the maximum value is 6 so, a=6. From the…

Q: 2370  +  Sin 253 0=

A: Sin253° = -0.9563

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 5 n! -1)". 11 18…

A: We have to find out convergence test

Q: Approximate the area under the curve graphed below from a = 3 to x = 8 using a Left Endpoint…

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Q: Express the limit as a definite integral on the given interval. lim Ax, [1, 4] (x;)2 + 3 dx Need…

A: Given query is to write the expression as integral.

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y and x =…

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Q: 2 4-x Find the area in the first quadrant bounded by the coordinate axes and the graph of y = 5 The…

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Q: Consider the following limit of Riemann sums of a function f on [a,b]. Identify f and express the…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Š (-7)" n2 00 n = 1…

A: ∑n=1∞-7nn2 Here an=-7nn2 and  an+1=-7n+1(n+1)2 limn→∞an+1an=limn→∞-7n+1(n+1)2-7nn2…

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: Volume of the solid by rotating about x axis in the interval [a b] is given below:

Q: BASIC CALCULUS 1. The line segment from (1, -1,3) to (0, –3, 1) forms a diameter of the sphere S1.…

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Q: 12. Solve the second-Order differential equation: d²y - y = e* (use method of variation of…

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Q: 4.) Evaluate: xe* dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: a) Find the directional derivative of a(r, y) = 3r? - y at (1, 1) in the direction (-3,4).

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Q: Find the indefinite integral. Hint: Let u = 5 - Vx. (Remember the constant of integration. Remember…

A: Explanation of the answer is as follows

Q: Find the linear approximation of f(x) = Vx at xo = 27.

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Q: Suppose that F(x) = /. f(1) dt, where V6 +u du. f(t) =

A: Given F(x)=∫1x f(t) dt where f(t)=∫1t4 6+u5u du

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 2x + 3 on the…

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Q: 1 E=1(-1)"+1 4 absolutely converges, conditionally converges or 13. Determine if diverges.

A: To find the convergence and divergence of the series

Q: Find the derivate of F(x): z con(2) V64 – t dt .

A: To find derivative of given function.