The velocity of a particle on the time interval 1 ≤ t ≤ 4 is v(t) = t³ - 1, where v(t) is in cm/s. What is the average velocity for the interval? 16.5 O 19.75 O 20.25 22.25

Q: Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Find derivative of the 6tanx following function d dx

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Q: Set up the intergal to find the arc length for f(x)=x^4+1 over [1,3]. Show all steps for setting up…

A: Arc Length , L = ∫x=ax=b 1+f'(x)2 dx .

Q: stion4: Find the general solution for the following second-order ODE as a D-operator form: (D²-3)y=…

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Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

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Q: Note: Answer All the Questions 01- Fill in the blank for the following statements 1- The cylindrical…

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

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Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

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Q: Find the following. f(x)=√x216, g(x) = x² x² + 1 (a) (f+g)(x) = X (b) (f- g)(x) = (c) (fg)(x) = (d)…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Use cos expand then find limit

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

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Q: A-The derivative is y = In Vsin 0 cos 0 1 + 2 ln 0

A: Let's find derivative of given  function.

Q: Function do you know from calculus is such that its first derivative is itself? (Do not use the…

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Q: find the transpose of the matrix A C = 3 5 2

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Q: B) The Value of the integration for the below function shown is : sec²2xdx = [sec²2x+c] tan (2x)+c]…

A: To find out the integration.

Q: 7 Find (x³ +2x) dx S. x²+4 None of the Above √√√√x² + 4(x³ - 2) + C √√√x² + 4(x² − 2) + C - O√√²-4…

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Q: A-The derivative is y = ln sin 0 cos 0 1+2ln 0

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: y' || = X y+x²y y(0) = −2

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Q: I need the third derivative for all of the following functions f(x)= 1 + X f(x)= f(x)= 1-X -1

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Q: 15 //dx Sº

A: Topic:- application of integration

Q: Q4) A) Determine the following coseds 25 2+3

A: We need to evaluate integral.

Q: i) lim I-18 /976. T³ +1 Mar

A: Here is the solution:

Q: )

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Q: 1 Consider the volume of the region shown below, which shows a right circular cone with top radius 2…

A: Given problem:-

Q: Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex (C)…

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Q: Use the formula Py_ PM 71−(1+i)~* | PV=

A: We have to find out pv

Q: dy dx x3 2+y²

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Q: dont understand what you have done in at the beggining

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Q: Differentiate f(t) = 5-7t+8

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Q: Please assist with the

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Q: Determine the magnitude F, of the tensile spring force in order that the resultant of F, and F is a…

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Q: (x2 + y2 + z²)5 = -23. Calculate əz/ax using implicit differentiation. O əzləx = x/z O əzləx = 2x/z…

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Q: 40 for the function below, the domain and the range is respectively y=√16-x²

A: Given problem:- for the function below, the domain and the range is respectively   y = √(16 - x2)

Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: Solve for the volume of a solid above the x-y plane and bounded above by the curve z = 3x2 + 3y2 and…

A: Given: A solid above the xy plane and bounded above by the curve z = 3x2 + 3y2 and laterally by…

Q: Find the surface area of the part of the circular paraboloid z = x² + y² that lies inside the…

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Q: Numerical Integration. Use the table provided for the integral to find the given Round each…

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Q: D-the result of the following limit is 1² lim x-0 In (sec x)

A: Let's evaluate given limit.

Q: C-The result of the following limit is sin 1² lim t 1-0 Oo O infinity 02 O anther answer

A: We can solve this as follows:

Q: 8dx 3 cos 2x + 1 -x6

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: Let's find value of y(1.2)  = ?.

Q: need the answer

A: We will solve the problem.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = 27/12/² n = 4, c = 2 P4(x) ||

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: with solution Final dy वर di dr-/2cset-1 de lesct. +2

A: We have to find out derivative

Q: Find the magnitude of x, y, and z from the following equations by using the inverse matrix 2x + 3y +…

A: Solution

Q: B- The derivative is y = ln (sec (In 0))

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