,sinx cosx dx 7. E e А. 2e С. е — 1 D. 1 – e В. е

Q: Sketch the graph and show all local extrema and inflection points. 15) y = x- sin x, 0 sxs 2n

A: Given,            y=x-sinx , 0≤x≤2πTo find : Sketch the graph and show all local extrema and inflect...

Q: The velocity (in meters/sec) of a particle moving along a straight line is given by v (t) =2 t^2 + 4...

A: According to Bartleby's guidelines we can solve only 3 subparts of a problem. Here is the solution o...

Q: 33 Calculate the volume of the solid produced by rotating the region enclosed by about the y-axis y ...

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Q: Given Cost and Revenue functions C(q) = q° - 9q +51q + 5000 and R(q) = - 3q + 2600q, what is the min...

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Q: The graph below is the function f(z) -2 -3- -4- Determine which one of the following rules for conti...

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Q: 100 venicies showed that 00 Tlad Tes with low press with Dald lore, 30 Tiad tires WILIT DOlI and bal...

A: We will find the number of vehicles with such tires. 

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: dx 19. S 16+9x² A. tan- () + B습tan-' () + ccot- () + c -1 В. + C 16 16

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Q: Evaluate the given integrals. 3x?dx 1. S 2х4—1

A: Given that a integration and we solve this problem by using general formula of integration.         ...

Q: Find the area of the triangle with vertices P(1,5, -6), Q(0,0, 0) and R(3, 4, 1). NOTE: Enter the ex...

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Q: Given cost function C(q) = q° - 135q“ +2400q, what quantity minimizes average cost? It would be item...

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Q: Evaluate cos x dx Use tabular integration by parts to simplify the evaluation of the integral. (A) (...

A: We can evaluate the given integral by using the tabular integration by parts method.

Q: Find a parametrization of the line in which the planes x-2y -2z = 3 and -3x + 3y + 3z = -6 intersect...

A: We have to find value of x, y and z

Q: sider the parallelepiped with adjacent edges u = 7i + 7j + v = i+j+ 3= w = i+ 7j+ 5 the volume. i

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Q: Find the most general antiderivative. 7 9) SWi-Zndt

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Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

A: Find your answer below 

Q: The revenue in dollars from the sale of x calculators is given by the equation R(x) = 8+ 440x - 2x2 ...

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Q: f(x) = %3D n = 0

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Q: 5x + 5 if z 3 !! 17 if z = 3 Determine whether f(x) is continuous at I = 3. If f(x) is not continuo...

A: A function f(x) is continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a)

Q: Identify the case of the given differential equation and determine its solution (3x + 2y + 7)dx + ( ...

A: Differential equation is exact. First show that given differential equation is exact and then find i...

Q: robability density function e(, z€ (-, 00) 1 or the normal distribution, the mean u is zero, and the...

A: This is a problem of derivative of the function and finding tangent line equation. 

Q: Given cost and price (demand) functions C(q) = 100q + 41,000 and p(q) = - 2q+ 870, What price should...

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Q: Find the exact length of the curve. y= In{1 – x²), o s 1. 0 sxs! 7. I Ju =

A: We will find the exact length of the curve as shown below

Q: The function s(t) = 2t + 6t + 3 gives the distance from a starting point at time t of a particle mov...

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Q: 3. Differentiate. a) M(u) = (1 – 4u²)(u+2) b) g(x) = (-x+3)(x – 10) c) p(n) = (5n+1)(-n²+ 3) d) A(r)...

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Q: Find the area of the parallelogram that has u = 2i – 3j+ 2k and v = 2j +k as adjacent sides. NOTE: E...

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Q: The graph below is the function f(T) 10 -9 -8 -7 -6 -5 -3 -2 2 4 5 -2- -3- -4- -5+ Determine the fol...

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Q: Find the derivative of the function by using the chain rule. sinx (a) h(x) = tan(x³ sinx) (b) y= %3D...

A: To find the derivative of the given function using the chain rule, which is: h(x)=f(g(x))⇒h'(x)=f'(g...

Q: Use the cross product u ✕ v to find the obtuse angle between vectors u and v, where u = −i + 6j + ...

A: The answer is in step 2.

Q: f(2) = -3 sin a cos z on [-7, 7] a) Find the critical numbers of f. (Separate multiple answers by co...

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Q: Suppose that f(x) is a function with f(155)=70 and f′(155)=1. Estimate f(157

A: topic -  line and differentiation 

Q: The function f(x) = 4x + 3 is one-to-one. Find an equation for f(x). the inverse function. (Type an ...

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Q: Find the length of the arc of the curve from point P to point Q. x2 = (y − 4)3,  P(1, 5),  Q(27, 13...

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Q: Find a power series representation for the function. (Give your power series representation centered...

A: Let's find. 

Q: 134 y'=y*(x+1), y(0) = 2 ||

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Q: Find the Taylor series for f(x) centered at 1 if f(n)(1) = (-1)"(n+1)! In(7)7"

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Q: 3. Differentiate. a) M(u) (1- 4u²)(u+2) b) g(x) = (-x+ 3)(x-10)

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Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 1...

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Q: find the average rate of change of the function over the given interval y= 3/x-2 , [4,7]

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Q: 10 Solve each equation and inequality. Put the solutions to the inequalities in interval notation. S...

A: Explained below 

Q: 5. Determine if the integral is conve 0. exdx -1/2 V1-e 2x

A: Given query is to find integral converges or diverges.

Q: x-3 5. ; dx х2-6х-5 B.미x?-6x-5| + c cm +C D. 2 In tar 2 In + C

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Q: The graph of y= f(x) (solid) and y = g(x) (dashed) is shown 6+ 4- -6 -5 -4 -3 -2 -1 5 -2- -3- -4 -5 ...

A: topic - limits

Q: 3x + 9 if r 1 if = 1 10 O Not continuous: lim f(x)+ f(a). O Not continuous: f(1) is undefined. O Not...

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Q: For the following exercises, use technology (CAS or calculator) to sketch the parametric equations. ...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: 7x +81x+45. How are diving away from New Orleans. Your distance (in miles) away from New Orleans x h...

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Q: Find the sum of the series. Σ (-1)" 32n+1 (2n+1) n = 0

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Q: e) b(k)= (-0.2k +4)(2 – k)

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Q: mat ftoydk = hat f(x)dx: 1 Find the 2 a

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