(2t+1)(2t-1) dt

Q: (b) f(z)= (4 – 5e*)³ x² + 1 (c) f(r)= ez %3D (d) f(z) = e=²–5z+4 ez-5x+4 (e) f(x)=xe² – e² = re² – e...

A: We can solve this as follows:

Q: sin "x cos“x dx cos²a 4.

A: We will use simple Integration technique to solve this question.

Q: хау — ydx what is the d(xe» )= . The exact differential d y

A: differential equation

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A: While proving anything,our target is to reach the answer.Made changes to the step by constantly look...

Q: a) 29,1+ 29, 2C1+ 1) (2+9) 4+9 (i) comment whe ther the sequence is converges ordiverges (i oblain t...

A:

Q: Cos 3n (8) Σ 1+ (1.2)" n=1

A: Given problem:-     To find:- Determine whether each of the following series is convergent or diver...

Q: In(x) dx; u = In(x), dv = x³ dx

A: Use integration by parts method.

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A:

Q: 1, 2, 3, 4, 5, 6, Z, 8, 2, and 10 a. Find the intervals on which f is increasing or decreasin b. Fin...

A:

Q: Problem 4: If a = 4t,s = 16 when t = 4, and s = 25 whent = 6, find the equation of motion s = and th...

A: Solved below

Q: 3. (2x – y)3 = 3x?y, find y' %3D

A:

Q: Plot the following cosine functions, y1 = 2 cos(x), y2 = cos(x), and y3 = 0.5 + cos(x), in the inter...

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Q: Determine D103 (cos 2x).

A:

Q: cos 4x cos 2.xdx 3.

A:

Q: Find all points c satisfying the conclusion of the MVT for the given function and interval. y(x) = x...

A:

Q: SS, (x + y)e**-y´dA where R is the rectangle enclosed by x – y = 0,x – y = 2, x + y = 0, and x + y =...

A:

Q: Scanned with CamScanner Find the equation of the tangent line to f(x) = e" at x = 1.

A:

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

A:

Q: Given the following inormation about the hyperbola, find both its standard and general form: Foci: ...

A: To solve the following problem

Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to asc...

A: topic - Domain and Range of the function

Q: 3. Evaluate the following INDEFINTE integrals. (a) / (b) / va dy y dy (c) dy

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: 3. Find the inverse of f (x) and check your answer. 3x - 5 State the domain and the range of f and f

A: The given function is: f(x)=23x-5

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A: We can solve this as follows:

Q: 16. Find the values of r so that the function y= e™ satisfies the equation y" – 4y' – 21y = 0. A) -2...

A:

Q: 3. S (xº – + 2ex) dx

A:

Q: 8. lim xcot3x

A: Given; limx→0xcot3x So, We can also write as; limx→0xcot3x=limx→0x1cot3x=limx→0xtan3x   ...We know: ...

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

A:

Q: 7. What is y' of the function y = arcsin V1-x |? Assume 0 <x < 1. C) y'=- Vx-. A) y'=-- B) y'= - D) ...

A:

Q: 5x5 + 3x2 + 3 3. 2x + 2

A:

Q: A heguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 800 yd of...

A: Question- A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, usi...

Q: S sinxcos(2x)dx

A:

Q: o = 3 cos? (4 - 0), r(0) = 2 de

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Find the vector component of v = 2i – j + 3k along b = i + 2j + 2k and the vector component of v ort...

A: v=2i-j+3k b=i+2j+2k.

Q: dw and Assume that w =f(s +?) and f'(x) = e*. Find dw dt dw ds II

A:

Q: What three points are on the line L: vector r= (2,-5) + s(2,1), sER

A:

Q: Determine the solution set to the following homogeneous differential equations. Write your answer as...

A: Solve the homogeneous differential equation and find the roots by finding the auxiliary equation.

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: B. Provide a short proof. 5. Show that f cot 0 d0 is equal to In|sin 0| + C .

A: We know, d/dθ (sinθ)= cosθ ∫dx/x = ln|x|     

Q: 3. 5 (xº - + 2ex) dx 2ех

A:

Q: *43メー バ+5 K

A: Please see the answer below.

Q: O f"(x) 0 for all x f"(x) > 0 for x > 0

A:

Q: Suppose f is differentiable on (a, b). If c E (a, b) and f' (c) = 0, thenf (c) is either the maximum...

A: Given f is differentiable on (a,b). and c lies in (a,b) such that f'(c)=0.

Q: (cos n) cOs n) Find the limit of the sequence an 6n

A: Given query is to find the limit of the expression.

Q: 2 S- /x² +y? and z= /x? +y? volume V = | T Enter an integer or a fully reduced fraction such as 1 , ...

A: Volume , V = ∫∫∫dV = ∫∫∫R dz dy dx

Q: X - 2 Consider the function f(x) x – 4° Use the graphing utitlity to graph f.

A: 1. The given function f(x)=x-2x-42. f'(x)=x4-16x3+81x2-146x+80

Q: 1. e (3xy-x)dx+e dy 0; when x = 0, y = -1 4 Ans. y =--e* 3 3

A:

Q: A function f has the form f(x) = Aekx. Find f if it is known that f(0) = 140 and f(1) = 210. (Hint: ...

A: A function f has the form f(x) = Aekx. Find f if it is known that f(0) = 140 and f(1) = 210. (Hint: ...

Q: 16 – x2 – 4y2 Use a change of variables to evaluate fSS, zdV; where D is bounded by the paraboloid z...

A:

Q: Suppose f(x,y) = x^2+y^2+x^2y+5 ,D{(x,y):|x| <=1,|y|<=1} 1.Find the absolute maximum f(x,y) on the ...

A: