sin COS dx V 32 COS 35 5cos² + C O 32 COS 32 + 4 COS 4 口 32 cosS Ssin+2-c cos () + c 35 4 4 32 CoS 7 4 4

Q: Question 7 15х2—х3— 43х — 19 Ax+ B C D -dx can be rewritten as dx. The integral + + (x+1)2(x2– 6x…

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Q: (U.1. 6. Find the dimensions of the closed rectangular box of largest volume with surface area of 16…

A: Surface area of the closed rectangular box:(with square bases) and height h;2x2+4xh…

Q: BLUsing the following table, find f(x) as polynomial in x: -1 3 6. F(x) -6 39 822 Good Lup 3.

A: Let's find.

Q: If you are going to evaluate the x²+16 using trigonometric substitution, the answer is =-csc*Ø + C,…

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Q: 7. dx = y(1+ y²)sec²x dy

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Q: Evaluate the following indefinite integral. da I In(x) Note: Don't forget your C! And be sure to use…

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Q: Consider the following function. f(x) = x3 - 3x2 – 9x + 5 Find the first and second derivatives.…

A: Since, you have posted question with multi-parts. As per guidelines, we"ll solve only first three…

Q: Consider . x2 +2x- 10 2 2 (2x + 4) +1 dx evaluate dx = x² (x² + 4x + 5) (2x+4) +1 dx - x² + 4x +5 -…

A: Topic = Integration

Q: Evaluate the integral da (8r +4)' 4)3 by making the appropriate substitution: u= dr (8r + 4)°

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Q: AY Deternine the elative maxina and relative Minima, If any.

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Q: Consider the following. (If an answer does not exist, enter DNE.) (x) = x6e=x (a) Find the…

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Q: The part of the sphere x? + y? + z? = 16that lies between the planes z = -2 and z = 2. (Enter your…

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Q: Evaluate the definite integral. sin(4t)dt

A: Here is the solution:

Q: dx If x2 - 2x - 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =…

A: Given problem:- Does the function satisfy the hypotheses of the Mean Value Theorem on the given…

Q: 1. Evaluate the following limits. 4x – 7 lim C. +-1-3r – 2r + r + 1|

A: Let's find.

Q: 4. Given [2r + 5], if r2 I = -1 and at r = 2. If discontinuous, classify the type of a. Discuss the…

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Q: 5x How many quadratic and repeated factors are in the denominator of J 3+ y2 + Y+4

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Q: 4. Given [2r + 5], 4- 2x 1² – 2x' if r < -1 f(x) = if –1<x< 2. sin(r – 2) 2 if r 22 a. Discuss the…

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Q: The integral 15x* - x* - 43x – 19 (x + 1)2(x2 – 6x + 13) can be rewritten as

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Q: usider (x. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: If i x w = i- j+ k, and i · w = 4, and 0 is the angle between i and w, 2 - (a) tan 0 = (b) 0 =

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Q: x² + x – 2 (3x – 1)(x² + 1)

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Q: dx -= In[F(x)]+C• What is f(3) For (x+x³) (x Tan-!x+1) 3 3 -1 3 6. + 3 + + +

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Q: Safari File Edit View History Bookmarks Window Help A docs.google.com Google Docs Untitled document.…

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Q: Given: dx x3 Using trigonometric substitution, solve for the integral form in terms of 0.

A: This question can be solved by taking x=3secθ

Q: 3x² +7x+28 f(x) x2 + x+7 A Using partial fraction, evaluate x3 + x2 +7x aX the decomposed fraction…

A: The objective of the question is evaluate the indefinite integral in partial fraction.

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y…

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Q: dt (t +7)

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Q: Find all points (x,y) on the graph of y = x-4 with tangent lines perpendicular to the line y = 4x +…

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Q: 1 Using Integration By Parts, x sec x tan 2 1 -uv-Jvau Find u v- Svdu '2x sec 을x-J25ec을x dx o 1 2*…

A: From the given problem; ∫xsec12xtan12xdx=uv-∫vdu    ....1   We know that; ∫secxtanxdx=secx+C

Q: Consider the following function. f(x) = x3 – 3x2 - 9x + 5 Find the first and second derivatives.…

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Q: 3x2 + 7x + 28 A f(x) Using partial fraction, evaluate x3 + x2 + 7x dX, the decomposed fraction is x2…

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Q: 2х n evaluating J cos²(2x) Tx using integration by parts, identify the portion of the integrand to…

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Q: Consider the following. 1 f(x) = 2x – 4 x2 y 4 3 y=2 x – 4 2 1 X 8 (a) Write the integral that…

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Q: 3x2 + 7x + 28 dx x2 + x3 + 7x Using partial fraction, evaluate

A: We know that integration power rule is  Integration of xn is xn+1/n+1.   Here i attached the…

Q: 5x -dx? J x³ + x² + 4x+4 How many quadratic and distinct factors are in the denominator of

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Q: Find the function f(x) such that f''(x) = x + cos(x), f(0) = 1, and f'(0) = 2.

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Q: dx Using Trigonometric Substitution find f(e) - 3 (x² + x + 1)7 3 sec e 4 4 3 sec? e O 3 sec? e 4 4…

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Q: The curves described by the following polar equations intersect at which value of the angle theta?…

A: We will put these polar equations equal and solve for the angle.

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: Solution: In the plane z =0 the two cylinders intersect x=±1, y=0y=1-x2 meets the y-axis at…

Q: x² + 2x- 10 (2 dx = x² (x² + 4x + 5) (2x + 4) + 1) (2x+ 4) +1) x2 + 4x + 5 x2 2 Consider dx -…

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Q: ay Do not simplify your answers. de 3. Solve for sec(3r2 + In 2) eVI+2 +9 - log(2³ + y) C. r Cos y =…

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Q: 6 (a) At point Q, fx is ? fy is ? and (b) At point R, fx is ? • and fy is ? (c) At point S, fx is ?…

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Q: Given : S 6x³e**3 dx. Using integration by parts (S udv = uv – dv = 3g(x)dx find h(x) if ſ vdu =…

A: Let's find.

Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

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Q: Tutorial Exercise A population of a particular yeast cell develops with a constant relative growth…

A: Let's find.

Q: For what values of a and b is the following function continuous at every x? - 10 XS-3 f(x) = < ax-b…

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Q: dy Do not simplify your answers. dx 3. Solve for sec(3r? + In 2) evz+2 +9 (5x-1 – 3")* e3z Vcot() C.…

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