If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

Q: Evaluate ft da 22-r-6 O a. 4ln r 3+ In r+2 +C O b. 4ln r+3- In a+2|+C c. 4ln a-3- In r+2 +C O d. 4ln...

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Q: Find dx2 Given: -2xy – 2y² = 1

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Q: 2 tan(4x-1)-3 cos²(4x-1) If we let u = 4x – 1 for the S dx, what will be the resulting integrand? co...

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Q: For the following function ds find the antiderivative s that satisfies the given condition. dt ds -=...

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Q: Solve the differential equation below: Find the particular solution: (D+1)^2 y=3xe^-x

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Q: Find the equation of a TANGENT LINE in SLOPE-INTERCEPT FORM to the given curve below y = 4x? 2x +3 |...

A: y = 4x2 - 2x +3 at x =0 y = 3 so point (x,y) = (0,3) we need the slope of line so slope = dy/dx slop...

Q: axis from t = 1 to t = 4. Find its Find the area enclosed by the following parametric curves and the...

A: Here we have to find out the area bounded by given parameters curves

Q: Find the derivative of y with respect to v. y = In (cosh (2v)) – tanh? (2v) The derivative of y with...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Use the following graph and write the shaded area as integrals. A(-1,3) D(2,1) B(0,0) y= h(z) y = S(...

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Q: (1–2x)/-

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Q: 0 3 Evaluate the iterated integral | (19x + 12y + 1)dx dy. -2 -3 0 3 | (19x + 12y + 1)dx dy =| (Simp...

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Q: f(x) = 15- (3-t)(r - 8t + 7)

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Q: Use the given definition to find f(A): If f(x) = a, + a,x a,x + ... + ax" is a polynomial function, ...

A: This is a problem related to matrix. We will find out square of the matrix and then calculate f(A) m...

Q: Solve the differential equation. 5y' = 4 ex/5 + y + y The solution is y = 4x +C X 5 5 e (Type an exp...

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Q: 6. ху\ + (1+х)y %3Dе*, у(1) — 0 7. sinx y'+2y cosx = sin2x, y : 2 6.

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Q: Write the equation of the sphere if (1, - 2, of the sphere. 5) and (- 1, - 2, - 7) are the end point...

A: Solving question by equation of sphere

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A: CONCEPTS:  

Q: oblem Set C 2x+3 Find the domain of the function H(x) .3 x'-4x %3D

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Q: Find the volume of the region enclosed by z = 1 – y and z = y² – 1 for 0 < x < 42. - V =

A: Here we have to find the volume of the region enclosed by z=1-y2 and z=y2-1 for 0&lt;=x&lt;=42.

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 Vn? + 1...

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Q: Find the complementary solution: (D^3+D)y=x

A: QUESTION- Find the complementary solution:   (D^3+D)y=x    

Q: if 4x1

A: Given problem:-

Q: State where the power series is centered. Σ (-1)"(x – 47)6n (6n)! n = 0

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Q: 6-x Problem 3. Solve the rational inequality x s 2x-5 Leave your answer in interval notation.

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Q: (y² + x²y + 2x)dx + (x³ + xv+ 1)dy= 0; y(2) = -3 %3D

A: Given: y2+x2y+2xdx+x3+xy+1dy=0, y2=-3 We have to find the particular solution.

Q: The position of a car traveling along a highway is given by the function s(t) = 21² – 2t where t is ...

A: Position function iss(t)=2t2-2tThen acceleration is given  bya(t)=s''(t)

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k Σ 2ln k k=2 ...

A: We know about conditionally convergent when series absolutely divergent.

Q: The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and...

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Q: solve the equation over the interval [0,2\pi ) ). (5sin(2x) 5cos(2x))^2=25 x=__________

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Q: dx Vx + x

A: topic - integration 

Q: Question The position of a car traveling along a highway is given by the function s(t) = -r+ + 121-5...

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Q: 3. For the series 2 + 6 + 18 + 54 + ... etc., find; (i) the ..... th 12" term (ii) the sum of the fi...

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Q: Show that f() find that root. (Use five iterations of the method by starting point xo = 1. You need ...

A: Given problem:- Show that f(x) = x3 - 2x - 4 has a root between 1 and 3 and use Newton's method to f...

Q: т?+2m Consider dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+1

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Q: (9cosx+y°cosx) dx +2ysinx dy = 0, y(5)= -4 the value of the constant (c) of this D.E will be:

A: Solution is written in below steps.

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: Let length of one piece be x, then the length of the other piece will be 48−x.

Q: Question 4 (2x* +)x J (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, th...

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Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

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Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

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Q: Find f'(-3) if f(x) = - 7x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: topic - derivative of a function

Q: nAבencח x2 f(x) Let k(x) = %3D 2x- 3 Find k'(-1), given that f(-1) = -2, f'(-1) = –3. Sorry, that's ...

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Q: mpany has a cost for producing x items of 55x+33 and revenue is 95x-0.5x2 what is the profit

A:   The profit is the revenue minus the cost

Q: . Graph (2) on the same coordinate axes, labeling the points corresponding to those you labeled on t...

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Q: 1 dx cos x 7. . /3 1+sin x 8. cos rsin r dr. 9. cos rsin?r dr. COS

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Q: (* + ±) + sin (2 – 7) + -0 on [0, 27). Find all solutions to sin (r + + sin ( z - Enter the answer i...

A: We have to find the all solutions for given equations.

Q: f(x,y) = 2. 2 Vx +y ... Find the limit as (x,y)→(0,0) along the path y = x for x> 0. (Type an exact ...

A: We have to find the limit along the path y=x.

Q: Problem 2. Do both part a. and part b. Find the maximum or minimum value of the quadratic function f...

A: see below the answer and explanation

Q: -(x) u'00-x n(x) = -2(x-3)(3x-2)°(r+4) Determine the end behavior of the graph of the function.

A: We will use limit to find the results