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Q: Find the values of constants a, b, and c so that the graph of y = ax° + bx + cx has a local maximum…

A: Given problem:- Find the values of constants a, b, and c so that the graph of y = ax3 + bx2 + cx has…

Q: 1) Test whether the following differential equations are exact and solve those that are. 5.30. (y…

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Q: Evaluate the integral. sin 4x cos 9x dx |sin 4x cos 9x dx =

A: topic - indefinite integral

Q: – 1)*dx

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Q: Find the interval of convergence. (x + 5)" Σ (n In(n))² n=2

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Q: 16 A scientist found the number of bacteria (y) after (t) minutes can be estimated by the following…

A: We can solve as follows

Q: 3x-9 dx gi S Vx3-9x-3

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Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

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Q: I cannot understand the format of your answer. Please answer in a different form that's easy to…

A: Apologies for the inconvenience. If you do not see the equations in the correct format, please try…

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

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Q: (i) Consider the iterated integral I = f(x.y.)dzdydx. Rewrite I using an x-simple region (with…

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Q: Find the derivative of g(x) = 6 + 8x4 at x = 1. ANSWER: g (1) = (Again, your final answer should be…

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Q: La -x* + 2x - 1)dx

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Q: Find the derivative of f with respect to x of f(x)=ln x8.

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Q: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

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Q: -............... ...................... ..…

A: Solution is here

Q: х—1 dx c4 –1

A: Basic integration is done.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: For each item, find an equation of the plane with the given properties: (a) containing the points…

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Q: 29. Prove the following derivatives by using the definition of derivative. (a) (") = n. dx nxn-1

A: topic - derivative and limits

Q: S(x + e*)²dx

A: Solution of question is written in below steps. Note: (a + b)2 = a2 + b2 + 2ab

Q: Use D-I method

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Q: The integrals below give the area of a region in the xy-plane. Sketch the region, label each…

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Q: Evaluate the definite integral: = rp |I – ,7|

A: Given: I=∫05x2-1dx   From the rule of inequality; x2-1<0 when -1<x<1x2-1>0 when x>1…

Q: Evaluat each Integral. For definite integrals, give exact valaes Only, rF - 7+" -ム dt

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Q: The velocity of a particle moving along a horizontal line is described by v(t) = t - 2t m/s.…

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Q: show that ī =3i+ 6j. %3D have Re sa we divein?

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Q: How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n > 2…

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Q: Test the series for convergence or divergence. (-1)" + 1 2n4 n = 1 converges O diverges If the…

A: See the answer below

Q: The marginal cost of producing the xth box of light bulbs is  7 + x^2/1000      dollars per box.…

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Q: d) L{e f, sin dr}

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Q: Find the interval of convergence of Σ (х — 5)" In (8n) n=2 (Use symbolic notation and fractions…

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Q: а. f(-3) %— 4 b. f'(0) = %3D 3 2 c. f'(3) = %3D d. f'(2) -5 –4 –3 -2 –1 1 2 3 4 5

A: To find: f'(-3), f'(0),f'(3),f'(2) Given information: The graph of f(x) is shown below.

Q: dy Find by implicit differentiation for the following equation dx 3D8X+6y+7 dy dx

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Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn : 11" n=1 Then determine…

A: Let's find.

Q: Show that 2x* dx = [* 2x° dx + f, 2x* dx + f; 2x° dx %3D

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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Q: 2n Determine whether the series converges or diverges. Ln=1 n2 +n

A: The given series is ∑n=1∞2nn2+n.   Rewrite the given series as follows. ∑n=1∞2nn2+n=2∑n=1∞nn2+n…

Q: Graph the function and its inverse using a graphing calculator. Use an inverse graphing feature, if…

A: To solve the following problem

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(−3​,3​).   4xy+y+33=0       Part 1…

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Q: Counting An employee group requires 6 people be chosen for a committee from a group of 16 employees.…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Compute : csc(e) d Csc evx dx CSC - Csc cot evx А. 2/x B. csc cot(evF).eF . — cSC Cot csc · cot 2 D.…

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Q: 4 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -2 -4 -5 -64 The graph above is a transformation of the function x…

A: Topic:- function

Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

A: From the given graph;

Q: Use the table below to fill in the missing values. f(x) 1 1 2 8 3 3 4 9. 4 6 7 7 8 6 9 f(5) || if…

A: Follow next step

Q: One face of the semicircular fin shown in the figure will be painted blue, with a circular hole…

A: Given:  A quarter circular fin with a circular hole. AB = 120cm.  Thickness of paint = 2mm  = 0.2cm…

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx² + y²,…

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Q: T/3 sin x dx COsx -1

A: I have stated the used formulas in the solution.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3,…

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Q: A radioactive substance decays at a continuous rate of 17% per day.  After 8 days, what amount of…

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