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Q: 12 d t°dt = Using Part I of the Fundamental Theorem of Calculus, evaluate: dr %3D

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Q: у" + 6у' + 10у %3D 1, У (0) %3D —1, y'(0) = 2

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Q: Does the following series converge absolutely, converge conditionally, or diverge? (-1)" Σ 3/2 +4…

A: The given series is ∑n=1∞-1n7n32+4. Note that, The series ∑n=1∞an is said to converge absolutely if…

Q: Given: xe + In(x - y) = . Find dy/dx. %3D O dy 2ry(x-y)e+x+a*(z-y)(2a+1) da r +z? (x+y)e? 2a…

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Q: solve the following ODE * y + xy = 6x/y

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Q: Let A, B, and C be the following matrices. ] c-[] -8 6 -7 7 3 4 A = B 4 Find the products AC and BC.…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: Let an and bn be infinite serics with positive terms. Which is a conclusion of tl n=1 n=1 Limit…

A: option (a) is correctsee below the clarification

Q: | f(x)dr = f(5)- f(- 3). Is this always true, sometimes true, or never true? 3 O sometimes true…

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Q: What is the area of triangle ABC if a = 5 ft, b = 6 ft, and c = 7 ft?

A: Follow the procedure given below.

Q: Cosx sinx 1+sinx

A: The given integration is ∫cosx sin2x1+sinx dx We solve the integral by proper substitution. Let,…

Q: Find the graph of the following ellipse. Identify the domain, range, center, vertices, endpoints of…

A: Given:      x225+y216=1

Q: 1 | zdnlzdz converges and I (In(x))" a positive number. Determine the values of p for which s of n…

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Q: Consider the series Σ (x – 8)4 5- 2! (x – 8)6 25 · 3! (x – 8)8 125 · 4! an = (x – 8)² + +... n=no…

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Q: Best Publishing makes and sells dictionaries. They have a monthly fixed cost of $5,976 for rent,…

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Q: en Test the series for convergence or divergence. E n3

A: Ratio Test: Suppose we have the series ∑an. Define,  L = limn→∞ an+1an Then, If L<1 then the…

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: (a)limx→-3-h(x) =4(b)limx→-3+h(x)=4(c)limx→-3 h(x) =4(d)h(-3) = DNE(e)limx→0-…

Q: Question 1 Given y = Va - 2Vr 2; Find y'. 1-Vオ-2 %3D 2(-2) 7 O (E) None of the choices Va-2-1 Oy =…

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Q: There are two different styles of shirts UB is planning on selling at the bookstore. UB will pay $12…

A: Let  Number of cheaper shirt = x  Number of other shirt = y  cheaper shirt yields a profit of $8 and…

Q: In how many ways can 2 letters be chosen from the set (A, B, C, D, E, F} if order is important and…

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Q: 21 j=3

A: Use the formula for the sum of n natural numbers.

Q: A goal is to get at least 15% of daily calories from poly saturated fats found in various nuts or…

A: 1 gram fat = 10 calories 21 gram fat = 21*10 = 210 calories

Q: Test the series for convergence or divergence. n=1 n35n (n+ 2)!

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Q: (cotx + tanx)² dx 3 4

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Q: The evaluation of So So x y e**dxdy is 0.5 e 0.25 e - 0.5 O e - 0.25

A: Double integral

Q: (-1)" Given: In(1 + x) = if x < 1. n + 1 n=0 (-1)" (n +2) Σ 4. Compute the exact value of 2n+1(n +…

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Q: Given: In(1+x) = n+1 if x < 1. n + 1 n=0 2. Evaluate f(2022) (0).

A: To solve the following problem

Q: Use the method of partial fraction decomposition to perform the required integration. 56x + 144 dx 3…

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Q: Find the flux of the vector field F(x, y, z) = (yz, y°, xz) %3D across the surface S, where S is the…

A: Given

Q: Suppose that P = (x, y) has polar coordinates (r, Find the polar coordinates for the following…

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Q: 1)" | Given: In(1 + x) if x < 1. n +1 n=0 1. Find the MMaclaurin series for f(a) = x In (1+ 5 )

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Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: Does the following series converge or diverge? 4. 4h n= 1 O The series converges. O The series…

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Q: 3. Let u =x² – 2xy+2y' with x = s´ · Int and y = 2s ·t° . au au and at Find as

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Q: Which of the following is not a p-series? (A) 2 -4 n n=1 (B) n n=1 1 (C) ne n= (D) en n=1 8. 3.

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Q: (4x-V16x C. lim +3x-5 3x-7* d. lim x0 2x-15*

A: c)…

Q: 14.w.3 Find Ihe arcan region for he fllowwiy Regian honded.by.y= X- y=D and S= 2

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The temperature T (in "C) in a freezer as a function of timet (In hours) is given by the function…

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Q: (x - 1,? (y - 4)2 OA. OB. 3D1 16 The center of the ellipse is (Type an ordered pair.) The vertices…

A: The graph is shown below:

Q: Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial…

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Q: 7. g(x) at x = 8 %3D 4- x

A: Note:- As you ask solution only of No. 7 so i am solving only it.

Q: Consider the graph of f'(x) given below. At what value(s) of x does f(x) have a local minimum? If…

A: Consider the graph of f'(x)

Q: 4. A- and B- what is A.B. 3. h It

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Q: If f (x) = Vx + 5 and g(x) 7 find f (g(t)). X

A: A composite function  is created when one function is substituted into another function .

Q: Find the remaining trigonometric ratios. 7 csc(0) = Зл < 0 < 2n 2 6 sin(0) cos(0) tan(0) = cot(0)…

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Q: Determine whether the statement is true or false. If the line x = 6 is a vertical asymptote of y =…

A: Please see the answer below.

Q: 3. Determine whether the following series are odd or even functions. i. f(x) = x² ii. f(x) = x³ iii.…

A: We have to determine whether the given functions are even or odd.

Q: Convert the equation r = 4 sec (0) from polar coordinates to rectangular coordinates. (Express…

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Q: 11. Let b be a real number with b > 1. Determine whether > 1 converges or diverges. As part 1+ bk…

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Q: 2. 52 Calculate the determinant for 2 3

A: As we know that, If the given matrix is A=abcdefghi then the determinant of the matrix is:…