HW. Given:= -2+i4, , =5+i3 .,=2-6 find (: +: Note: ex. =-3+i

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the...

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Q: |1 0 A=[2 21 1 13 31 |A|=4 O |A|=1 O |Al=21 O |A|=0 O 900

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Q: Question #2 ( a) Given the sketch of the following function segment, what are the signs of the first...

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Q: 8r*- V Let y=f (x) + C be the antiderivative of F (x) =- determine the value of C (use 3 decimal pla...

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Q: Question #4 ( Car A 4 km At exactly 2 PM, Car A is four kilometers east of an intersection and drivi...

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

Q: Bessel's Function :mine 1. Find Js (x) JE(x) *.. ..

A: 2nJn (x) =x[Jn-1 (x) +Jn+1 (x) ]

Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $11 the ave...

A: We have to find the price which yields the maximum revenue.

Q: dx using the Trapezoid Rule, and n=6. Your answer should be to the tenths place (so of the form X.x)...

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Q: os made. te the cost function for this company. C(z) = te the revenue function for this company. R(r...

A: Given query is to find the cost function, revenue function and profit function.

Q: 5. The expression (x + 3)? is equivalent to: A) x? + 6x + 4 B) x? + 4x + 9 C) x? + 2x +9 D) x? + 6x ...

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Q: k E R and f(x, y) = x² + y² + kxy

A: Here, the given function is: f(x,y)=x2+y2+kxy First of all, suppose k≠0 Now, the critical values of ...

Q: P = The series converges absolutely. The test is inconclusive.

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Q: Use the difference an+1– an to show that the sequence - {n – 9n}+0 In=1 is strictly increasing or st...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: The profit (in dollars) from the sale of x lawn mowers is P(x) = 50x - 0.05x² - 650. (A) Find the av...

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Q: Express the following in Partial fractions 9x2 + 48x + 18 (2x +1)(x2 + 8x + 3) Question

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Q: An object is dropped from a tower, 1024 ft above the ground. The object's height above ground x seco...

A: This question can be solved by equating the given equation to zero to obtain the time and then using...

Q: Let f(æ) (3- 2æ) 3. 2x)* f(r) has one critical value at A = For a A, fx) is Increasing Decreasing

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Q: Use the Quotient Rule to compute the following: d/dt (t^2+1/t^2-1) at t= -4

A: The quotient rule of derivative is    ddtuv=vdudt-udvdtv2

Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: Test the series below for convergence using the Root Test. 2n +1 3n +4 The limit of the root test si...

A: Given ∑    n=1∞2n+13n+4n We have to find f(n) , limit and we have to check that series is converge o...

Q: Evaluate the integral. (Use C for the constant of integration.) cos (a) da J Vsin(a)

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Q: EX show that J, (x) 2. sin X %3D zm + Sol:- J CX). = (-) M=D0 m+ LIN

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Q: 5(x- 4) 2x 7-15 The solution as an inequality is Type an inequality. Simplify your answer. Use integ...

A: 5(x-4)2≥2x7-15⇒5x-20 2≥2x7-15⇒5x2-10≥2x7-15⇒5x2-2x7≥10-15⇒31x14≥-5⇒x≥-5×1431⇒x≥-7031

Q: the supply and demand functions of a given product QS is x2 + 14x + 22  and QD = -x2 - 10x = 150, de...

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Q: 2 5 2 If A= 4 6. 4 then |A| is -1 2 -1. |A|=0 |A|=1 |A|=-1 O

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = - 0.01q² + 3q – 34, where q...

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Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15 f...

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Q: sin x .2 3 + Cos X

A: Given: ∫sinx3+cos2xdx

Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. 2+x if x...

A: A function f(x) is continuous at x=a if and only if limx→a- f(x) =limx→a+ f(x) =f(a).

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative. ...

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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: Given P = R³ S°T0.5 + R0.5 S sin(2T) what is P as

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Q: dx Hint: Remember "completing the square"? 1 V4x

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Q: Find the maximum of S(x, y) = 2x + 2y – x² – y? – xy on the square, 0 sx s a, 0 s y s a, a = 3. (a) ...

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Q: Find the general solution of the given second-order differential equation. у" - у' — 30у %3D 0 y(x)

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Q: 2 (x) 2. prove that s

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Q: 1_dx -1 1-x The integral is an improper integral.

A: We can find the integral as below

Q: Find the maximum and minimum values of g(x) =1+ x + x2 + x³ + x4 + x on the interval [0, 2].

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Q: If F(x) = S tvt +1 dt, evaluate F(1), F'(1) and F"(1).

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Q: (2x³ -x²y + y³)dx – x(2x³ + y³ )dy = 0

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Q: V5(30+2) V5 arctan 5 15

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Q: ve the given boundary-value problem. (If an answer does not exist, enter DNE.) y" + y = 0, y'(0) = 0...

A: Topic:- differential equations

Q: Kirk's Convenience store sells 15 different brands of chocolate bars. Of these, 6 brands contain nut...

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Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 122+ (...

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Q: 1. Sketch in the xy - plane the domain of each function : (a) ƒ (x, y) = (Vx – 1+ Vy +1) · In (x² + ...

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Q: 4- -2 -2 2.

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Q: Physically, integrating f(x)dx means finding the area under the curve from a to b area to the left o...

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Q: Given the function below f(x) = V-32x + 96 Find the equation of the tangent line to the graph of the...

A: To find: The equation of the tangent line to the graph of the function at x=1 and then approximate f...