If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary constant. Enter an exact answer. g(t) =

Q: 32. Find the area of the surface generated by rotating the portion of the curve y-2 from x= 0 to x =…

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Q: Prove using the definition of a limit. lim x→2^− (1/((x^2) − 4)= +∞)

A: Prove that   limx→2-1x2-4=∞

Q: In Seln sin" x dx √√1-x

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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: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

A: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

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Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: 4-f(t)=e-²¹. 3 t³.

A: Topic = Laplace Transform

Q: Given 8₂ = 6 and 85 = -384 of a geometric sequence, what is the recursive equation for the nth term?

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: Rx=45x-0.5x2, Cx=6x+10, when x=30 and dxdt=15 units per day

Q: 1745 into prime

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Q: na tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is…

A: We use here properties of triangle to find the angle between spectator and hole

Q: The figure shows the first three in a sequence of squares. The first square in the sequence has a…

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Q: Write an equation for the parabola shown to the right. The equation of the parabola is (Use integers…

A: Given vertex of the parabola is ( 0, -5 )

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: s dx 20+ 8x - x²

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Q: For Numbers 30-34. A ball is shot straight up from a building. Its height (in meters) from the…

A: In this question we have to find the following question based on the given statement. Note: As per…

Q: Solve: 9 d2y/dx²-24 dy/dx +16y=0; y(0)=3, y'(0)=3 Write the letter corresponding to your answer. The…

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Q: For the equation, use implicit differentiation to find dy dx xy - 3x = 9 dy dx ||

A: Given.

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

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Q: Which equation represents the graph of the circle? O(x-3)+(y + 5)² = 16 O(x+3)²+(y+ 5 = 4 Ox+3²+(-5)…

A: We know the standard equation of the circle is: x-h2+y-k2=r2 Where:  center: h,kradius:r Given:

Q: 2) Find all the second-order partial derivatives of the functions: a. f(x, y) = tan-¹ b. h(x, y) =…

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Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A: We have to solve given Questions.

Q: To find the volume formed by the function z=f(x, y) = x²y over the triangular region bounded by the…

A: Given problem:- To find the volume formed by the function z= f(x,y)=x2y over the triangular region…

Q: Solve for PS: y"+7y'-8y=0;x=0,y=0,y'=1 O y=9e^-t-9e^-4t O y=1/3e^-t-1/3e^8t Oy=3e^t-3e^2t O…

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Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

A: This question is related to Compound Interest, we will solve it using given information.

Q: Find laplase 4-f(t)=e²¹.t³.

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

Q: A right triangle has a hypotenuse of length 11 units and includes a 40° angle. What are the lengths…

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Q: Solve the following differential equations of

A: Given differential equation is :

Q: What is the exact value of csc. 0-2 cola 3 0 24/3 03√2 3

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Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

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

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Q: 348, 7.) x and y are vectors between them and 2, respectively, with an angle of 120° of 3x + 27. the…

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

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Q: Solve: 9 d²y/dx² -24 dy/dx +16y=0; y(0)=3, y'(0)=3 Write the letter corresponding to your answer.…

A: We have to solve given Questions.

Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: Find My M Mx My (x, y) and (x, y) for the laminas of uniform density p bounded by the graphs of the…

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Q: What should be the balance in a Registered Retirement Income Fund (RRIF) that will provide $2,000 at…

A: Solution of given question is written in below steps.

Q: #7.) Evaluate the following limits C a lim 4x2-36 X->3 2x-6 E by lim X-72 Climx-5 X-75 √x-1-2 A…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: A graphing calculator is recommended. A rectangular beam is to be cut from a cylindrical log of…

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Q: Upon the death of his aunt, Lucien receives an inheritance of $40,000, which he invests for 13 years…

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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: 11+22=

A: Topic = Algebra 11+22=33

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

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Q: cel Find the accumulated future value of the continuous income stream at rate R(t), for the given…

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Q: y = (kx + b)−1/2

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Q: An integral equation is an equation that contains an unknown function y(x) and an integral that…

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Q: 9. Expand and simplify the answer. 1) (2x - 2)°

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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: Find the average rate of change between x = 2 and x = -4 of the function shown in the table below.…

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