n (2x-1)" n 4n n=1 1 Σ (r- 3)" n In n n=2

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

A: NOTE: Refresh your page if you can't see any equations. .

Q: ind the derivatives and simplify answers: a). f(x) = tan-(e4"), (b). g(x) = x² + 2r³ cot-- In(1+x²).

A: ddx(arctan(e4x))We know that ddx(arctan(u(x))=1u(x)2+1*u'(x)=1(e4x)2+1*ddx(e4x)=e4x*ddx(4x)e8x+1=4e4...

Q: . Robertson owns a store. His mark-up percentage is 80%. He is also VAT registered, VAT is % of the ...

A: This is a problem of profit and loss. Based on the general formula we will calculate all the three s...

Q: 9. Find all second order partial derivatives for the following functions: a) z = xe-2y + x In(y) + y...

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Q: Solve the given differential equation. All solutions should be found. dy -2y NOTE: Use c for the con...

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Q: 1 xV1- (in x)? (In x)²

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Q: 4. The market for Woozle used to be perfectly competitive, but then Woozlesoft Inc. monopolized prod...

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Q: Consider the function f(x) = 8x + 6x1. For this function there are four important intervals: (- 00, ...

A: In order to get the critical points of the function we need to differentiate the f(x) and equate to ...

Q: 1 (-1)" -(x- 1)" 3" In sigma notation, the Taylor series for about x= 1 is 2. x+2 n=1 O True O False

A: We have to determine whether the Taylor Series for 1x+2 about x=1 in sigma notation is ∑n=1∞-1n3nx-1...

Q: f the following is ion of a discreet A: Sum of two nu o boxes containir

A: We will find the discrete probability distribution. 

Q: Solve the logarithmic equation for x : log2 (x - 2) + log2 (x - 3) = 1

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: [4 51 [A] = |1 2 15 6] [4 3 7] [B] = |1 2 6 l2 0 4] Perform the following operations: 1. [E] + [B] 2...

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Q: Assume that it costs a manufacturer approximately C(x) = 1,152,000 + 340x + 0.0005x2 dollars to manu...

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Q: 10. Determine which of the following limits exist and does not exist. a. b. 2 - 2 3x - 9 lim 25 * +5...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: S csc*t cot²t dt

A: ∫csc4t cot2t dt

Q: Find the derivative of the function. 29 r(x) = r(x) = %3!

A: NOTE: Refresh your page if you can't see any equations. .

Q: х — 1 x² + 8x + 15

A: The given rational expression,                x-1x2+8x+15

Q: If a parabola defined by f(x)=2−x2 is inscribed under equilateral triangle ABC, so that the parabola...

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Q: 2.Determine whether the following sign series is divergent or absolute convergence or conditionally ...

A: The given series is  ∑n=1∞ -1n+12n-13n+4

Q: Calculate the volume of the ball. Round to the nearest cubic centimeter.

A: We have to find the volume of the ball.

Q: 60. For what positive integer k is k+5 a factor of k2+11 while k+11 is a factor k2+5? ANS. 7

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Q: I = Sin 52 ()

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Q: (e^x+lny+(y/x))dx+(x/y+lnx+siny)dy=0 solve using exact equation (diff eq)

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Q: Determine whether the series converges. 00 1 Σ k+19 k=1 The series eTextbo diverges converges

A: ∑1∞ 1/(k+19) =∫1∞ 1/(k+19) =ln(k+19)]1∞ =∞ - 0 =∞ so the series is diverges to ∞

Q: The integral of the given function cos 2x cos(-x)dx is equal . sin 3x + 3 sinx А. + C 6 sin 3x – 3 s...

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Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. Then use the second d...

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Q: With partial fraction decomposition the following rational expression can be as A В + x + 2 27 (х — ...

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Q: 8 sin 2x Find the value of lim z 20 7 sin (2x2 + x) 16 7 8 25

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Q: ах sin bx dx eax (a sin bx – b cos bx) +C. eax - a? + b?

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Q: Consider the following. 2x3 +5x2-32x-80 x2 x) %3D - 9x + 20 (a) State the domain of the function. al...

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Q: EVALUATE: 2 А. (1+j)4 +j3 B. j 1-j²

A: Topic:- complete number 

Q: What is the angle of elevation of the sun when a 41-ft mast casts a 10 ft shadow?

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Q: For the next five questions, consider the following differential equation: (y? + cy°)dx + (5y² – xy+...

A: Given differential equation is y2+xy3 dx + ( 5y2-xy+y3siny) dy =0 Also, given that M is coefficient ...

Q: Find the derivative of the function. F(x) = (4x + 6)3 (x² – 7x + 6)4 F'(x) =

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Q: 1. For the polynomial function P(x)=x' – 2x² – 33x+10 (a) Describe the end behavior of P. Use notati...

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Q: Give three points that are equivalent to the polar point ( – 8, 335°). Write the three points in pol...

A: Give three points that are equivalent to the polar point (-8 335°).

Q: Determine whether the seauence converges or dive-ges. I f it conveges, find the (Inn)" ni+Tn t 1 l00...

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Q: 6. 6- 4. 2 - 8 10 12 -2- 4- -6 8.

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Q: Solve the given differential equation. All solutions should be found. dy = e + 15y da NOTE: Use c fo...

A: Given:- y'=e9x +15y  To find:- General solution for given differential equation

Q: 10x2 5x Evaluate : - lim 5x2 + 16 О 2.000 O 0.312

A: We will find the limit. 

Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function f(x)=0.002x^...

A:  The quartic function f(x)=0.002x^4+0.025x^3-0.36x^2-7.243x+86.993, where x is the number of years s...

Q: A man earned wages of $42,000, received $2600 in interest from a savings account, and contributed $2...

A: Given:   Wage = 42000  Interest = 2600 Adjustments = 2800 Personal exemption = 3100 Deduction = 5220

Q: ,3 ws de determine the percentage change in y when w increase by 2%, s decrease 2. If y = by 3% and ...

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Q: 7.1 EXERCISES 2 Evaluate the integral using integration by parts with the 13. f r ese' t dt 14. Í x ...

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Q: m of the coefficient/s when we evaluate (sec(x) e given choices

A: We will find the sum of coefficient. 

Q: 7. Using the rules of differential or integration, find the formula for the sum of the following pow...

A: We will first differentiate the given series that is equal to S(x). Then will take common 2 and canc...

Q: consider the polynomial equation P(x)=x^5 + 3x^4-25x^3-79x^2+100=0 1) Use Rational Zeros Theorem to...

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Q: x = 4sin?t Given: a) Identify all values of t that produce a horizontal tangent y = 2 cos t b) Ident...

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Q: dx Ied x+l

A: