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Q: Suppose the position of a particie is given by parametrc equations x(e) = -3 and y(t) = 2?. (a) Find…

A: The given data is: xt=t3-3yt=2t2  (a) To find the particle's position (x,y) at t=3

Q: Find the maximum value of the function f(x) =x² - 9x2 + 15x-5. Answer

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Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: The edge of a cube is changing at the rate of 0.2 cm/sec. How fast is the volume of a cube changing…

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Q: direction as the vector from the point ?=(0,3) to the point ?=(−2,−2)?

A: Given query is to find indicated vector.

Q: |(1 - 4x4 + x)/x dx = 1/(2x2) + 2x² - x + C Select one: O True O False J(4csc?x -3sec2x) dx = -4cotx…

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Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: ) = sin x + cos(1+x²) – 1 ng secant method with initial guesses x, = 1.5 x1 = 2.5 each item to a…

A: To solve the problem using secant method

Q: Dver what interval is the graph of the rational function positive but decreasing? 4. 2 -4 -2 -4 a)…

A: Topic:- calculus

Q: 3dt 2t+8) Jt +1

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Q: dy = (Type an integer or a simplified fraction.)

A: Topic:- double integration

Q: Suppose the position of a particle is given by parametric equations x(t) = t3-3 and y(t) = 2t2. (a)…

A: Solution: x(t)=t3-3  and y(t) = 2t2

Q: ds Find the function s(t) satisfying = 4 -9 cos t and s(0) = 7. dt

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Q: with A parti cle is moving a cc eleratoN at) = 12t+18. Its positian at time t = 0 IS S© =4 and its…

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

Q: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

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Q: Find the general solution of (x+2y-4)dx-(2x+5-y)dy = 0

A: The given differential equation is  (x+2y-4)dx-(2x+5-y)dy=0

Q: Suppose that fis continuous and that / f(x)dr=4 and / s(x) dr=7, Find / 45 (x) dx A 20 B 28 16 12

A: using property∫acf(x) dx=∫abf(x) dx + ∫bcf(x) dx∫-33f(x)dx +∫36f(x)dx=∫-36f(x) dx4 + ∫36f(x)dx…

Q: 2.ryda + (a² – 1)dy = 0

A: As per guidelines we have to solve one question

Q: Question For the functionf(x) given below, evaluate lim f(x) and lim f(x). f(x) = 1 – 2x* +x²…

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

Q: 2. Determine whether the following integral is convergent or divergent. Do not guess! 4 dx x2 – x -…

A: To determine whether the following integral is convergent or divergent.∫04dxx2-x-2

Q: Find the iimit oT X SP approaches zero from the left. x -3.62330136 t-0.827974189 4- 2 10 12 does…

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

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Q: A rectangular lot having an area of 5000 sq meters is to be fenced on three sides Find the minimum…

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Q: given

A: Please refer to the image below

Q: 3dt 1. J (2r+8) fr+1 Suv-2+1 ¢v 25x -9 dx 3. 4. V40-4v-v dv

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Q: Screen Shot 2022-04-05 at 5.49.01 PM Q Search Problem #8: Demand for a certain kind of SUV obeys the…

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Q: Find the absolute extrema of the function. h(x) = ex2 − 9 on [−3, 3] absolute maximum value: ___ at…

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Q: 41m Illustrate and find the largest negative coterminal angle of 6.

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Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: We have to find the differential equation that models the given situation.

Q: 8. Below is the graph of Se)%3Dx+x-5x+3: a) Find the zeros. b) For each zero use synthetic division…

A: Topic:- calculus

Q: If C is the line segment from (1, 5) to, (0,0), find the value of the line integral: So(4y? i + 4x…

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Q: Answer

A: As per policy, only first question is answered.  Please refer to the image below

Q: funchoN f whose second derivative is f ")= 5x+2sin(x If fo 3 and fro)= 3. what is fe?

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Q: 3. Herrera's ship is 70 kilometers due north of Arias' fishing vessel in a noon of a certain day.…

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Q: Let the region R be the area enclosed the function f (x) = x2 + 1, the horizontal line y = 6, and…

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Q: V3x+10 - 4 Evaluate lim x+ 2- x2- 4x + 4

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Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible

A: Second Derivative Test :   Firstly find critical point of f(x).i.e, f'(x)=0 and find the value of…

Q: %3D Find the maximum value of the function f(x) =x° - 9x2 + 15x - 5. Answer: Find the value of x for…

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Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

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Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function…

A: Given graph:-     To find:- For the graph shown, identify a) the point(s) of inflection and b) the…

Q: Solve the differential equation. 4 + Vr du dr 5 + vu II

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Q: e*(y' – y) = 2xy?

A: Given

Q: 3. Find the domain and the range of the functions below. a) f (x) |x | b) g (x)

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Q: 2. Solve the given the equation using the integrating factors found by inspection. [2х + усos(ху)jdx…

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Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: Solution :let, side of square=xArea of square=Adxdt= 8 cm/secA= 36 sq. cmA=x2    Area of square=side…

Q: a2f_ If f(x, y) = xe?y + 6xy, then is given by: dydx O 2xe?y + 6 None of these e2y + 6 2 xe?y + 6 2…

A: We have to find the derivative

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find Ay and f'(x)Ax for y = f(x) = 2x – 1, x= 3, and Ax = 3. Ay = (Round to four decimal places as…

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Q: QUESTION 2 If the auxiliary equation of a certain linear, homogeneous, 8th order DE with constant…

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