Identify all three (distinct) solutions to the equation z3 = 27i. Write your answer in x + iy form.

Q: The function g is related to one of the parent functions described in an earlier section. g(x) = x2 ...

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Q: dx Evaluate 6e* cos (3e *) -In |sec(3e ) – tan(3e |] + C O 2 [In |sec(3e-x) + tan(3e-)|] + C -18 [In...

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Q: Evaluate the integral V5+ 12x? - 4x xdx O 1 (2x2 – 3)/5+12x² – 4x4 + 14Arcsin V14(2x² – 3) +C 14 -3)...

A: Using integration of square root of a2 - x2

Q: 1 x2 100 A firm can produce only 2700 units per month. The monthly total cost is given by C(x) = 400...

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Q: x+1-cos²(x) 3sin(x) 7. Find lim

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Q: Find the general solution to the Differentia Equation. State the auxiliary equation, complementary f...

A: The detailed solution is given below Thank you 

Q: ax Evaluate • (1– 2x)² 1 2 2 O 1 O-1

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. n = 1 Identify an. Ev...

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Q: Find the Taylor polynomial of degree 3, centered at a 3 for the function f(x) I+ 4.

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Q: A function f is said to be harmonic if it obeys Af = 0, where Af V.Vf. Suppose that functions f and ...

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Q: Sketch the region enclosed by y = ešª , y = es, and x = 1. Decide whether to integrate with respect ...

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

A: Area of circle is πr2 and area of equilateral triangle is √3/4a2  

Q: For the cost function, find the marginal cost at the given production level x. State the units of me...

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Q: Let S be the plane defined by 5x-Sy+10z 0, and let T be the plane defined by 2x-2y+5z=-2. Find the v...

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Q: v) Given that the expression for the composite function, i[h(x)], can be written in the rm: V(ax + b...

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Q: 4x4 + 7x + 16 Consider the rational function f(x) 6x2 – 11 a. What monomial expression best estimate...

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Q: Set up (do not solvel) the volume of the solid whose base is bounded by y = x, y = 0 and x = 1. with...

A: We need to set up integral.

Q: HON 3 tan(e-*) dx Given: ex Find: du O e-*dx O -e-Xdx exdx O - e*dx

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Q: f(t) = t−3 Find  f '(t). f '(t) =          Find the slope of the graph of the function  f(t)  at the...

A: On solving this we will get

Q: Identify whether the statement represents an exponential function. For each training session, a pers...

A: Topic:- function

Q: Evaluate the integral S/5+12x² – 4xª xdx (5+ 12x2 - 4x9) +C (2x2 - 3)W5+12x? - 4xª + 14Arcsin - 4xª)...

A: We can evalaute the integration as follows:-

Q: Čonsider the following nonlinear programming problem Maximize Z = 36x, +9x¡ – 6x¡ + 36x, – 3x X, +x,...

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Q: car rental agency rents 220 cars per day at a rate of ​$20 per day. For each ​$1 increase in​ rate, ...

A: Given query is to find the point where incom will be maximum.

Q: Calculate the iterated integral. 36(u – v)³ du dv

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Q: In each of Problems 1 through 5, determine the canonical form of the eliptic equation. 1. Uzz + 2uzy...

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Q: Given: [2x? (3-5x*)" dx 2x3 (3 – 5x Find: Formula o fu'du 02 fu'du O-2 fu'du Su du 1 10

A: I am attaching image so that you understand each and every step.

Q: lim x→0 4-Vx+16

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Q: Question 2. Let V = R³, U = {(s + 2t, s, s + t) : s, t E R} and W = {(x, y, x) : x, y E R}. Is V = U...

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the ...

A: Topic:- application of derivatives

Q: Find the point on the plane 2x+7y+8z-14 =0 closest to the point (-3,3,1). The point is (Simplify you...

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Q: Graph the curve r = sin(0)+ 1/2

A: Given : Curve r= sin(θ)+ (1/2)  From the given curve(r), the parent function is f(θ) = sin(θ) 

Q: Which of the following graphs show a removable discontinuity. (Select all that apply)

A: For removable discontinuity,   limx→af(x)  exists but f(a) not defined. For non removable discontuit...

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities? g(x)=x(x...

A: We have to find the zeroes and their multiplicities.

Q: t f be a function that is concave up everywhere. Suppose we would like to use the tangent line at x=...

A: If f is concave up so f''>0 and follow step 2nd . 

Q: Consider the following. br (a) Set up an integral for the volume a solid torus (the donut-shaped sol...

A: We have to set up an integral for the volume of solid integral.

Q: y = x² cos sec 3 -1* 2

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Q: sin 6z Evaluate: lim エ→0 00 O1 Which among the following limit theorems were applied? sin x O im エ→0...

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Q: Find the values of c that make f continuous everywhere: S2² - c | cr + 8 if z 14 smaller c = O 8 O ...

A: The objective is to find the values of c that make f continuous everywhere.

Q: A Detroit-based oil company estimates that for the next several months, oil will be pumped (in thous...

A: A(t) =integration of R(t) dt  Amount for three years put t=3

Q: Sketch the graph of the given function. Use technology to approximate the intercepts, coordinates of...

A: Given:       f(x) = 4x3 + 6x2-24x+1

Q: Find the area of the shaded region: y y = x - 15 x 20 10 y = x (4, 4) -6 2 4 6. (-4,-4) - 10 - 20

A: QUESTION-  Find the area of the shaded region

Q: dx Given: 2x-3xlnx Find: du dx 3 dx dx dx

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtainedi by rotating the regio...

A: Consider the region   

Q: complementry function for this DE  12.7y" + 68.58y' + 153y = 0.289(y+1)

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Q: Evaluate x2 + y? – z dS where S is the part of the cone z? = x2 + y² that lies between the planes z ...

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Q: 15-28 Sketch the graph off by hand and use your sketch to find the absolute and local maximum and mi...

A: Find your answer below 

Q: Calculate the area of the figure given by the law of the mean of two bases 15 :8 13 10 11 8. 8 8. 8.

A: Area of trapezium =12(sum of two parallel sides)×heightArea of triangle=12×base×heightArea of figure...

Q: Find the critical numbers of the function f(x) = 2x -15x2 +36x- 24. O a. -2 and -3 O b. 2 and-3 O c....

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Q: Give the degree and leading coefficient of the following function: f(x) =2x2 (4- 3x-5x3)

A: Given query is to find the degree and the leading coefficient of the function.