y – y = e3t y(0) = 1

Q: -) A) Find by using chain rule if f = ( , u = -1,x=-1 dx u+1 B) Evaluate the following integral: SV2...

A: This question is based on chain rule differentiation and indefinite integral.

Q: ) Evaluate the following integral: S V2 + sin 3t cos 3t dt

A: We have to find solution of given integral.

Q: find the nth Maclaurin polynomial for the function in sigma notation. 11 cos(Tx) po(x) : P1(x) : P2(...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) 1 n = 4, c = 5 P4(x)

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Q: Lesson 3.1. Slope of a Tangent Line to a Curve Activity 3.1. Find the general equation of the slope ...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Discuss the continuity of f(x) = {Vx, x > 1 1, x<1 at x = 1.

A: A function f is said to be continuous at some point a if the value of the function at that point is ...

Q: A is an m x n matrix. Check the true statements below: A. The column space of A is the range of the ...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k...

A: The given series is: ∑k=1∞(-1)k+1k76 Let, ak=(-1)k+1k76; k≥1

Q: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

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Q: Find the Mclaurin series for e^x⁴. What is the radius of convergence?

A: the given expression ex4

Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

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Q: 10*(100* + 1)dx

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Q: 3. Find and and y= ivative of

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x² ab...

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Q: Using appropriate substitution, 3 the integral J1 x(3+ln(2x))² dx is equal to: 1 1 1 1 3+ln 2 3+ln 6...

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Q: n Express lim e"/n² re/n? as a definite integral. i=

A: The solution is given in the next step.

Q: r = 6(sec 0 + tan 0)3/2

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Q: What is the volume generated by revolving the shaded region around the x-axis? Use the Disk Method. ...

A: Here we know that Volume (V)=∫abπr2dxTherefore here,Given function y=4x-1V=∫14π(4x-1)2dx Take the co...

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(/x) xp

A: ∫5cosh(x)xdxlet x=tdifferentiate on both sides12xdx=dtThen ∫5cosh(x)xdx=5∫2cosh(t)dt

Q: Use the limit comparison test to determine whether the series converges. Σ 3k +4 k=1 The series

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Q: Lograithmic Function Give 3 examples with solution and final answer. Make sure it is unique and not ...

A: To Solve Logarithmic Functions To solve the logarithmic functions, it is important to use exponentia...

Q: The function f(x,y) = 2x + 2y has an absolute maximum value and absolute minimum value subject to th...

A: The given function is; f(x,y)=2x+2y and the given constraint is ; 9x2-9xy+9x2=16.

Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS

A: ddv1-2v1+v3  

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

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Q: The solution of the Bernoulli's differential equation y + =y'x is: 1/y=-x+C (1/xy)3-x+C 1/(xy)^2 =-x...

A: The given differential equation is; y'+y/x =y2x

Q: Using integration by parts and taking a > 0, the integral S x In(ax)dx is equal to:

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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Q: sinx dx TI cosx t ecoSX 2

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Q: The Differentiation to be made must be based on the following topics. - Quotient Rule Give 3 example...

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Q: Find the roots of the given equation where f(x) = 0 with the stopping criterion of 0.001. f(x) = (x ...

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Q: Find the domain of a function of the form f (x) = va – x².

A: Given function:- f(x) =√(a-x2)  To find:- Domain of given function f(x) 

Q: Q: solve the equation 5 lim ( 3y+ 4x (37+*-) – x-3 x - 3

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Q: Given: (-8, 6) cote = -3/4 O 4/3

A: Find your answer below 

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Given: f(x)=e3x, c=0

Q: Fin d y' forsin X +Sin Y =A

A: Given query is to find the derivative of the expression.

Q: 1 1 cos³30 \cos830) sin330

A: Solution is written in below steps.

Q: B. Find all x values at which f(x) = 2-6-16 is not continuous. Identify the removable x+2 discontinu...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c= 3 %3D P4(x) ...

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Q: -dz :+ 5: + 6 2

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Q: Find the x and y-intercepts of the graph then put the equation you get from the graph into quadratic

A: Graph

Q: Solve for a root/roots of the functions 2. x² – 3 sin x + 2 In(x + 1) = 3.5 Applying both a. Bisecti...

A: x2-3sinx+2ln(x+1)=3.5To Find: Roots of the function using bisection method and false position method...

Q: Q5) A) Graph the curve Y= - 2x (x -4)(x + 6)(x - 2) between the value of x (0, 41. then find the are...

A: y=2x(x-4)(x+6)(x-2)

Q: Question * Using integration by parts, the integral Sxsec(2x) tan(2x) dx is equal to:

A: The integration of the integral is xsec(2x)tan(2x).

Q: II. Answer the following ques 1. A window in the shape of a rectangle surmounted by a right triangle...

A: Given that the ratio of the height of the right triangle to the width of the rectangle is 5:12. Let ...

Q: What is the slope of (5, -3) and (-1, 6)

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Q: Find the radius of convergence and the interval of convergence. k(k + 10) k=1 Radius of convergence:...

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Q: find the nth Maclaurian polynomial for the function f(x)=(5x-3)/(x+1), n=4

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Q: Solve the given diffe rential equation by using an appropki ate subrh tution The DE is a bernoulli e...

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