Differentiate: 1. y = x³ (5.4)*

Q: Solve the initial-value problem. 3 dy + 3t²y = 2 cos(t), y(¹) = 0 dt

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Q: 2. Find the inverse of the function given below. Specify the domain and the range of the inverse.…

A: Given function, f(x)=3-2-xThat isy=3-2-xReplace x and yx=3-2-yAdd 3 on  both sidex-3=-2-ySquaring on…

Q: 1-sinx x-1-cos2x 9) lim 10) lim TC X- sinx-cosx TL X- 4

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Q: Which of the following represents a geometric sequence with a common ratio r= 5? O2, 10, 15, 75, 375…

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Q: This is the graph of the quadratic function rx)=-x²+bx+c 3 (The scale on the x-axis is not…

A: Given graph:-

Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

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Q: Find laplase 4-f(t)=e²¹.t³.

A: Given problem:- Find laplace transformation of f(t) =e-2t t3

Q: If m<A = 29°, m&B = 84°, and c= 14, what are the measures of the remaining sides and angle?

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Q: Minimize c = 8x + y subject to 10x + 20y ≥ 100 0.8x + 0.1y ≥ 2 x ≥ 0, y ≥ 0

A: minimize c=8x+ysbuject to constraint10x+20y≥1000.8x+0.1y≥2x≥0, y≥0

Q: √1+x 1- x dx

A: Substitute x=cos2thetha

Q: Choose the figure that shows an angle of radians in standard position.

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Q: What is the nth-term formula for the number of square tiles in the nth figure? How many tiles are in…

A: Concept: The nth term of the sequence: Yet another term is a formula that allows us to locate any…

Q: (x) (2) : (x+yi)

A: Follow the procedure given below.

Q: 05: Solve the following system of equations by Gramer's Rule. 2x - 4y 0 x+y+z=1

A: Use Cramer rule to solve the system

Q: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

A: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

Q: Given AABC with mLB = 74°, a = 38, and c = 41, what is the measure of A? O MLA = 55.9⁰ OmLA 51.9⁰…

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Q: Given the geometric sequence 13 113 15 15 3,125 625 125 96 48 24 **** what is as?

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Q: Find the area K of the triangle specified below. a = 19, b= 19, c = 19

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Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

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Q: y = (11x² + 5)³

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Q: Find laplase 4-f(t)=e²¹.t³.

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Q: (A) Find Laplace transform of the function : f(t)=1 sin(2t+) cos(21-7)

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Q: Apply the eigenvalue method to find a general solution of the given system. Find the particular…

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Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

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Q: Apply the eigenvalue method to find a general solution of the given system. Use a computer system or…

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Q: A stereo store is offering a special price on a complete set of components (receiver, compact disc…

A: A stereo store is offering a special price on a complete set of components(receiver,compact sick…

Q: Use trapezoidal rule to approximate the integral fex dx.

A: Follow the procedure given below.

Q: xyy' +4x² + y² = 0

A: Girenven differential equation: xyy'+4x2+y2=0

Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

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Q: Find the particular solution to the differential equation dy dr sin(x)-3 that satisfies the…

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Q: Use the Chain Rule to find the derivative. y = cos (e40) (Express numbers in exact form. Use…

A: Given.

Q: Consider the vector v between (-2,-5, -3) and (5, 10,7). The vector vis The length of vis If the…

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Q: Suppose a certain drug is administered to a patient, with the percent of concentration of the drug…

A: We are asked to find the interval  of increasing

Q: 5. The set P = {a + bi| 0 ≤a<1,0 ≤ b ≤ 1} is graphically represented by A B i X C 1 x 1 x D i

A: Since you've asked multiple question, we will solve the first question for you. If you want answer…

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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Q: 10. Find similarities and differenced between the quadratic, the sine, and the exponential functions…

A: Here, the given functions are: f(x)=x2, g(x)=sin(x), h(x)=2x

Q: Partial deviation Given z=f(x,y) = 6x-x2y2 + 3x3y. Find fx and fy.

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Q: eets 1 X STBunn Truck Sheet - Goo X Shelton State X LG myShelton Compute the derivative of the…

A: Given;  Sqrt(9+4x+sinx).

Q: What is the accumulated value of periodic deposits of $3,500 made into an investment fund at the…

A: Given problem:- What is the accumulated value of periodic deposits of $3,500 made into an investment…

Q: What is the approximate value of tan (3)? O-3.078 O 0.033 O 1.083 O2.468

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Q: Find the volume generated by revolving the given plane area about the given line, using: I. Sketch…

A: Explained below

Q: e Phill and Laura Dutch have a new grandchild, Brenda. They want to create a trust fund for her that…

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Q: O cos y (cos x + 1)

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Q: Find the volume generated by revolving the given plane area about the given line, using: I.) Sketch…

A: To find the volume generated by revolving the given area about the given line, using: I To sketch…

Q: Solve the following differential equations of 1 -(- ny) dr. = 0 y J 21 ....... '' ... (y-xy) dx +…

A: Solving using method of seperation of variables

Q: 3) lim (x - 1)-¹ Inx x→1

A: Our Aim is to evaluate the limit of the expression given below:-limx→1x-1-1 ln (x) -(i)

Q: 1)lim (tanx) cos X-2

A: To find the limit of the given function

Q: 1) An ostrich runs along a mountain path with coordinates given by r(t) = a) What is the change in…

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Q: The Gamma Function is defined by [(x) = fx-¹e-tdt, positive integer then prove that for na T(n) = (n…

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Q: Timber Inc. invested profits of $215,000.00 in a GIC at 4.51% compounded monthly. How long would it…

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