Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 3e 2t 2e

Q: Find the area of a triangle with the given description. (Round your answer to one decimal place.) a ...

A: area of triangle

Q: Use sigma notation to write the Taylor series about z =1, for the function. 3Inr; 10 = 1 Σ

A: Explanation of the answer is as follows

Q: 12x +1 S dx. (2x - 1)2 (3x + 2)2 Evaluate: (2x – 1)3 (3x +2)3 A) + C 3 8 in |(2x- 1)2 (3x+2)2| + C 1...

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Q: The function S(t) = 800 – 800t gives the shares of stock sold of a new product at year t for t 1 Not...

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Q: You plan to save money for a down payment of $42,000 to purchase an apartment. You can only afford t...

A: Please see the below picture for detailed solution. 

Q: (b) lim log1 r+2+ (x – 2)? sin(2x2 – 3x – 2),

A: solution:-limx→2+ log13x-22sin2x2-3x-2=limx→2+ -log3x-22sin2x2-3x-2=limx→2+ log3sin2x2-3x-2x-22=limx...

Q: A contract requires lease payments of $800 at the beginning of every month for 6 years. a. What is t...

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Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the l...

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Q: 2) A farmer wanted to plant six different crops in a rectangular field. To protect it from animals t...

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Q: Compute the following limits, if possible. You may use L'Hospital's (Bernoulli's) rule if it applies...

A: We need to find limit.

Q: The sequence

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Q: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly...

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Q: Does the following power series converge for all real values of x? (-1)"x" n n=1 It converges for al...

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Q: Question 12 If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+') + C, find the exact val S ...

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)² f(x) = Σ

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Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = V1 + x 1 f(x) = 1 +-...

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Q: State whether the following series is Convergent or Divergent. n=1 O Convergent O Divergent iM:

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Q: x2+ Consider dx. (x8 + 8x³ + 16x²) 2 Using u-substitution and transformation of integrand, then the ...

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Q: How much money should John invest today into a fund that earns interest at 3.50% compounded quarterl...

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Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

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Q: Write the partial fraction decomposition of the rational expression. 5x-3 X- 4x-5 5x -3 %3D 2-4x-5 (...

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Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions wer...

A: This question can be solved by using rate of change of physical quantities.

Q: dx Given: 7-ge-2x. Using u-substitution and transforming the integrand, find du. A 18e-2xdx B - 18e-...

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Q: Watch the video on partial fractions decomposition with linear factors before answering the question...

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Q: -to determine if the sequence {ne"} is strictly increasing or strictly decreasing. An an+1 Use the r...

A: 1st we have to find an  then we have to find an+1 . Then by ratio we may find it's increases or decr...

Q: Use the difference a -a, to show that the given sequence (a,] is strictly increasing or strictly dec...

A: The given sequence is; {an} = n/(3n-2).

Q: + 0o Consider the improper integral dx. What will be an appropriate solution and answer? x2+ 2x+2 A ...

A: We have to find value of given improper Integral.

Q: 4. if x^3+y^3=2 find the value of (d^2y)/(dx^2) at the point (1,1)

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Q: Does the following power series converge for all real values of x? n=1 O It converges for all real v...

A: We will do ratio test for convergence test

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)*+'k! Σ (2...

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Q: Question 2 du where u= {(x) and for some constant, k. Compute /\2). The integral reduces to e + 1 A ...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) n = 4, c = 4 P(x) =

A: solution:-f(x)=1x2,     n=4,       c=4f'(x)=-2x3f''(x)=6x4f'''(x)=-24x5f4x=120x6

Q: Olivia was receiving rental payments of $2,000 at the beginning of every month from the tenants of h...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n= 5 Ps(x) = ||

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Q: Solve. y+2 y-10 = 3 4 3 Select the correct choice below and, if necessary, fill in the answer box to...

A: We will find the solution of given equation as shown below

Q: This problem is about evaluating the integral V2/2 1 dx - x2)3/2 (1 – To start, one would make a sui...

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Q: Solve the differential equation below: (D-1)(D-2)(D-3)y=e^x

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Q: Calculate F. dS where F = (3xy°, xe", zª) S is the surface of the solid bounded by the cylinder y? +...

A: Let's find. 

Q: Use linear approximation to approximate √36.3 as follows Let ?(?) = √x. The equation of the tangent...

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Q: Find the length of the arc formed by x? = 10y³ from point A to point B, where A (0,0) and B = (100, ...

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Q: 1. Consider the relation R1: R2 - R such that (r1, y1)R1 (x2, y2) if and only if both points are on ...

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Q: The path of a total solar eclipse is modeled by f(t) = 0.00357t -0576t + 24.586, where f(t) is the l...

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: Let 1, if-3 <x s2 f(x) = %3D 4-x, if 2 < x<4 Without graphing, is f(x) continuous at x 2? Clearly ju...

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Q: Je2x sec2(e2x+1)dx ktan (e2x+1) + C, find the exact value of K. If the solution to is equal to A B -...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

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Q: 4. If f is a differentiable function of x and y with w = f(x, y), x = r cos 0 and y = r sin 0, show ...

A: Given, w=f(x,y) x=rcosθ and y=rsinθ

Q: / 5x? tun(3x) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find f Given: 5/2 A 18 B none ...

A: This question can be solved using the concept of substitution as used in integration.

Q: Determine whether the series converges. k=1

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