ds The position of a particle at time t is given by s. Find the velocity dt s4-7st+2t-3t= 0 ds dt

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Q: Consider the following. u = (5, 7), v = (4, 2) (a) Find the projection of u onto v. (b) Find the…

A: Given u=5,7, v=4,2

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Q: Directions: Solve the following problems completely. Mark your final answer. A. Find the equation of…

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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 2 for the function f(x) = x* - 7x. %3D…

A: Topic = Series

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Q: For each sign chart for f'. Carefully sketch the graph of both functions f and f'. Upload your work…

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Q: he area of the region enclosed by y = 4 – x and y = -x+ 2 , identify the "a" and | "b".

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Q: y(x) = tan{/3x² + In(5x*) - In(5x'

A: Given  y(x) = tan3x23 + ln5x4 We have to find dydx.

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: we know two vectors <a, b, c> and <x, y, z> are parallel if (a/x) =(b/y) =(c/z) .

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Q: Consider the following. u = 6i + 4j, v = 3i + 8j (a) Find the projection of u onto v. (b) Find the…

A: Follow next step

Q: ax +3, if x <2 f(x) = lox²+2, if x 22 It is given that f(1)=5 and f(2)= 6. Find the value of f(a+b).…

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Q: 18. A farmer wants to fence in a rectangular plot of land adja- cent to the north wall of his barn.…

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Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = Vx2 + y2, P(7,…

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

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Q: 5x3–x²–1 21. Which of the following is an end behavior for f(x) = %3D A. 5 B. 5x3 C. + o D.0 O D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use partial fraction to find the integral 3-x 3ペ-ペート

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Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.

Q: If Rita receives $39.24 interest for a deposit earning 6% simple interest for 110 days, what is the…

A: This is a problem related to simple interest. Based on the general formula of simple interest we…

Q: The linear approximation at x=0 to sin(6x) is A+Bx where A is:    and where B is:

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Q: The rabbit population at the city park increases by 4% per year. If there are intially 390 rabbits…

A: Given query is to find the population of the rabit after 18 years.

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A: To find the volume of solid generated by revolving the gives curve about y axis using disc method.

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Q: Evdluate the following integral, S Sin3xcosxdx

A: Use the method of substitution and solve the integration.

Q: Solve the differntial equation y"-6y'+9y= t^2 e^3t , y(0) = 0, y'(0)=17 using the method of…

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Q: 5- 4 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5+ Write an equation for the function graphed above y =

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (4,…

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Q: Solve the given initial-value problems. 4.43. xe" dx +(y-1)dy 0; y(0) 0

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Q: y(x) = tan(v/3x² + In(5x*) %3D

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Q: A region bounded by f(x) = 2x-2, y = 1, y = 4, and x = 1 is shown below. Find the volume of the…

A: A region bounded by fx=2x-2, y=1, y=4, and x=1 is shown below.To find the volume of the solid formed…

Q: Find the exact real solutions of the following equations. (a) (2 + 1)(3" + 1) = 6" – 4 (b) 3+1 = 52…

A: Let's find.

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Q: 5. { xe*dx (1 + x32

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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Q: 29. What is the lim f(x)? 2 В. DNE С. -2 D. -4 A. O A O D 30. At which value of x is the graph…

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Q: Use the definition of a logarithm to find the exact solution for 4 log (2n) - 7= -11

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: see below the answer and calculation

Q: 54 in. 2/2 in. 2'2 in. Volume = %3D Surface Area = %3D

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Q: Suppose that f and h are integrable and that: L f(x) = -1, f(x) dx = 5, h (x) dx = 4 , Find: %3D %3D…

A: Answer and explanation is given below..

Q: cos a 26.If S (cosº x · B)dæ +C, what is the B? %3D OA. - cos a 1 O B. csc z 1 O c. sec a O D. - sin…

A: This is a problem related to integral. Based on the general formula we will answer the question. As…

Q: K to to Match each equation with a graph above O 2(0.72)" a. blue (B) O 2(1.2)" O 2(0.81)" O 4(1.2)"…

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Q: 1) Find the derivatives of the following. Simplify your final answers. d) l(x) = tanh-1 x + In v1 –…

A: Part d,Given,           lx=tanh-1x+ln1-x2To find : Find the derivative of the given function.