n 4n – 1

Q: Let f : R → R be the function defined by 1 f(x) 2* a) Is ƒ is one-to-one? If yes, then explain why. ...

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Q: (Vx² +1)j +8tm(x²; r(x) = sin (secx ?)i +csc Find the derivative of the vector function below ³(Vx² ...

A: Given: - The vector function is, r(x)=sin2(secx2) i+csc3x2+1 j+8tan(x2)k To find: -The derivative of...

Q: 1 B. E 2n +1 2n +3 n=1

A: Solution of the above series is

Q: Given the series * 4" n=1 |an+1 find the ratio an (Express numbers in exact form. Use symbolic notat...

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Q: evaluate the differential equation y- 2y +1 =0 if y(0)= 3

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Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when t...

A: The length of the hypotenuse of a right triangle is 10.

Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1

A: The required equation of the tangent line to the graph is y = -36x + 1  

Q: Find two points where the curve x + 5xy + y = 23 crosses the x-axis. The tangents to the curve at th...

A: The given curve,     x2+5xy+y2=23

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 00 Σ f(x) =...

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Q: 11\ The values of x for the converge series :E=1an n%3D1 2m are:

A: Given :  Limit Equations is given

Q: ad the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or -...

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Q: Which of the following functions is differentiable for all values of x? a. fAx) = 2r' + 5x² b. f(x)=...

A: Given problem:-

Q: QI: Draw the projections of the points: A (8, 3), B (-5, 4.5), C(0,-3). D (6, -3), E (-5.5, -1), F (...

A: Solution is given below:

Q: A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest p...

A: Solution: As we can see in the figure Height AO=h, radius OC=r ∠BAQ=2α Let the radius of the cylinde...

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x fx) = 1 + x + 3...

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Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 60 bushels of fruit. She e...

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Q: Find if converging or diverging using nth term test

A: ∑n=1∞-1nn5    an = -1nn5    We can now proceed with nth term test.. 

Q: (b) What is the equivalent annual interest rate? (Round your answer to two decimal places.)

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Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16. W...

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Q: C -- -- 1. 7)=3tan(2x-45")-2 f(x) Реriod: Vertical Shift: Horizontal Shift Start: End.

A: Starting point and ending point is always infinity in tan function

Q: If you average 30 mi/h on a 150-mi trip and then return over the same 150 mi at the rate of 50 mi/h,...

A: In this question we have to find the Average speed for the trip.

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given  g(t) = lntt2+142t-15g'(t) = dlntt2+142t-15dtg'(t) = 1tt2+142t-15×dtt2+142t-15dt              ...

Q: dy x fan x %3D

A: Given: -The equation is dydx=xtan-1xy To find: - The solution of the given equation.

Q: Find the derivative of the vector function below r(x) = sin°(secx ?)i +csc'(Vx² +1)j +8tan(x ²) k

A: Given: - The vector function is, r(x)=sin2secx2 i+csc3x2+1j+8tan(x2)k To find: -The derivative of th...

Q: rentiate both sides of the equation with respect to t. dV dh (P) dr +2arh dt dt dt (Type an exact an...

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Q: F = {(-3, 0), (4, 2), (-1, 2), (2, 2)} Is F a function and why/why not? No, each set of ordered pair...

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Q: determine 23 ifx+ -1 x+1 ther the function f (x) = is continuous at a = -1 by using the continuity c...

A: Follow next step

Q: Differentiate the function. t(t? g(t) = In + 1)4 5 2t – 1 g'(t) =

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Q: Determine the real number ? such that vectors a = 3i + 2j and b = 6i + ?j are orthogonal.

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Q: 2. Each of the following "derivatives" has been done incorrectly. In each case below, find a coun- t...

A: topic - derivative of a function

Q: Find the radius of convergence and the interval of convergence. 00 Σ k(k + 1) k=1

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Q: solve ∫ 1/((x+2)^2(2-x)^2) using partial fractions

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Q: 28. Find the critical points of f(x) = x3 – 3x2 - 3. а. (0,—3)аnd (2, -7) b. (0,3)and( 2,7) c. (0,2 ...

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Q: Evaluate the following integral. 2x2 dx (x- 8)3 2x2 dx = (x – 8)3

A: topic - indefinite integral

Q: Match the following improper integral with the improper integral below in which you can compare usin...

A: Using P test. And follow step 2nd . 

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2  

Q: Given the graph below, evaluate the following limits: y = b Retrieved from:basiccalc_initial_release...

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Q: . Consider the function f(x, y) with level curves as shown below. At the point P are two vectors 7 a...

A: Solved below

Q: An observer notices an airplane flying horizontally with a constant speed of 200 kph at an altitude ...

A: Given query is to find the rate of change of distance.

Q: Find the absolute extrema

A: We use second derivative test for this problem

Q: Evaluate the surface integral F*n d-sigma where F = 2xi +4zj - 4yk, and S is the part of the sphere ...

A: Value of the surface integral is

Q: Find terminal point Q of vector PQ =    <9, −2, 1>   with the initial point at P(...

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Q: Select all that apply. For the quadrant in which the following point is located, determine which of...

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Q: Choose the correct equation for the graph: 1 -21 -Зл 37 .2 2 2. -1 -2 2.

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Q: If F(x,y) =ln (x2y - xy2), find the partial derivatives Fx (3,2) and Fy (3,2)

A: Given:- If F(x,y) =ln (x2y - xy2), find the partial derivatives Fx (3,2) and Fy (3,2)  

Q: (a) If point A(2, 4, 3) is the opposite vertex to the origin, then find the coordinates of the other...

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Q: Find a formula for the parabola shown below. 3- 2 (-1,0)|| (7,0) 5 4 -3 -2 1 1- 4 5 8 -3 40 (0, -4} ...

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Q: (г,9) —(0,0)22 — у4 – y4

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Q: QUESTION 11 Find y" of y = X-1 y" = (x- 1)3 y" = -2 (x- 1)3 2 y": (x- 1)2 1 y" = (x-1)3 | %3D

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Q: Use the given vectors u and v to find the magnitudes of vectors u − v and −2u. u = 2i + 4j + 7k, v =...

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