Find the average velocity over the interval [1,4] Find the average velocity over the interval [1,1 + h] Find the instantaneous velocity at t =1.

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Q: Extension Question 1: If the inside of the composition of the logarithm is quadratic, what portion o...

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Q: Find the differential of each f (a) y = 1 + 4s dy =

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

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Q: The tangent line to y=f(x) at (7,0) passes through the point (6,−7). Compute the following. a.) f(7...

A: Topic:- calculus

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A: The given function,    f(x)=7sinπx ; 0<x<2π

Q: /3 Without using a calculator: tan¬1 ( 3

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Q: b) y = 1 - v 1 + v2 -82 dv dy = 1+v

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Q: The following table shows values of a function f(x,y) for select values of x from 2 to 2.5 and selec...

A: We have to solve above question 

Q: Find the differential of each function. (a) y = etan(nt) dy = (b) y = V4 + In(z) dy =

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Q: Find the distance between (1, 2, 3) and (-1, 3, 4)

A: Consider the points  1,2,3  and   -1,3,4  

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Q: solve using ODE from t=0 to 2 when y(0)=1 dy/dt= yt^3 - 1.5y

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Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: Level curves (isothermals) are shown for the water temperature (in °C) in Long Lake (Minnesota) in 1...

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Q: Determine whether each integral is convergent or divergent. Evaluate those that are converg 1 9. d.x...

A: If limit of improper integral is given and is finite, Then it will converge.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 (-...

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Q: A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its original qua...

A: We use radioactivity decay law 

Q: Given y = f(u) and u = g(x), find dx = f'(g(x))g'(x) for the following functions- y = sin u, u = 4x ...

A: Please see the solution given in step 2

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 6)...

A: The given series is: ∑n=1∞ -6nn35n

Q: For the following functions. Please show all evidence. (a) Identify all local extrema, (max or min.)...

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Q: 11+11-12=

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Q: (g) sin vt dt.

A: Intigrating the given equation. 

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A: Solving the problem by finding the value of the limit.

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Let's find. 

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 5)...

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Q: Solve the initial value problem from t = 0 to 2 when y(0) = 1. %3D dy yt³ – 1.5y dt -

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Q: 2b). Let y* + 5x2y² + yx = 624. A) Find y'

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Q: Test the series at the given values of x for convergence or divergence. (x+2)" Σ n=0 7" (3n + 1) • T...

A: Given the series is ∑n=0∞ (x+2)n7n (3n+1)

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: 3. Below is his graph. Is his graph correct? If not, explain what mistake(s) he made. TO 8. Brian gr...

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Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future v...

A: P=$350 r=0.0272 T=12years Formula used A=P((1+(r/n))^(n*t))

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Q: Find: Zx, Zy, Zxy Zyx , Zxx Zyy Xy 군= e Lny

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Q: cos (0) = -0.115 Round your answer to the nearest thousandth. Provide your answer below:

A: follow next step

Q: Evaluate the following expression. arccsc(/2) Provide your answer below: Radians

A: We can find the answer as below.

Q: 15 What is the exact value of tan (sinr) where r 17 Provide your answer below:

A: Solving the problem by finding the value of the function.

Q: Consider the initial value problem y'(t) = Y(0) = 3. 2y a. Use Euler's method with At = 0.1 to compu...

A: The given initial value problem is: y'(t)=12y ;         y(0)=3Here f(t,y)=12y,    t0=0,  y0=3

Q: Find the maximum rate of change of f(x, y) = In(x² + y?) at the point (-4, -3) and the direction in ...

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