Let f(x) = 3-2x. Find f(-4). f(- 4) =]

Q: In which of the following options, the statements given below and the general terms an that satisfy ...

A: proof :  Taking k : an = n2              ∑n=1∞an=∑n=1∞1n2 limn→∞1n2=1∞2 (taking limit)=1∞=0  Thus, t...

Q: Which of the following expressions are true for the limits : 3x-2y e*+y (x² +y*).sin- lim II. lim II...

A: Limit:      The limit of a function  fx exists if and only if the onesided  limits of the function a...

Q: Complete the steps by applying tr that the left hand side of the equa the right hand side

A: we have,  cosx·cotx+sin2x·cscx

Q: upper is #1, lower is #2

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If ...

Q: Please answer question #15 with details on how to do it. Thank you

A: Consider x2y'+2xy=lnx, x2dydx+ydx2dx=lnx Use the product rule of differentiation. dx2ydx=lnx    

Q: Find the indicated vector. Let u - (-3,-7) --8, -1). Find -2u - 3v.

A: To find -2u-3v :

Q: 1 If the function f is continuous on [a,b], then there exists at least one number C in [a,b] such th...

A: If the function f is continuous on [a, b], then there exists at least one number C in [a, b] such th...

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x³,y = x,x > ...

A: We need to draw the curves to section out the part which needs to be rotated. So, the section will b...

Q: The area between y= 3sinx and y= 3cosx on the interval 0, is 2 O a. 6/2 -6 O b.2 O c. Some other ans...

A: We know that, sinx<cosx on 0≤x<π/4 And , sinx>cosx on π/4<x≤π/2  

Q: grandfather. Solve the following integrations

A: Given: ∫035x2x2+1dx

Q: 4 What is the least possible degree of the polynomial graphed above? 3.

A: A polynomial function has degree n if the following occurs: 1. The function has at most n x-intercep...

Q: use the indicated value of u to rewrite the given integral in terms of the variable u. Clearly show ...

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Q: Find the surface area of revolution of the function f(x)=sqrt(4x+1) about the x-axis on the interval...

A: Here, we need to find the surface area of revolution of the function f(x)=4x+1 about the x-axis on t...

Q: Give the period and amplitude of the following transformed trig function. Hint: If the numerator or ...

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Q: Evaluate integral

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Q: Let a be a positive real number. Evaluate a Va² – x²dx O a? O ja

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Q: (tan 0+ cot 0) sin 0 = sec 0 Write the left side in terms of sine and cosine. sin 0

A: Given: left hand side is   tanθ+cotθ  sinθ since we know tanθ=sinθcosθ and cotθ=cosθsinθ, so we have...

Q: A man 167. 68 cm tall is walking directly away from a lamp post fronting a building at the rate of 9...

A: A man 167. 68 cm tall is walking directly away from a lamp post fronting a building at the rate of 9...

Q: (10 + 6i)( – 1 – 4i) =

A: Consider 10+6i-1-4i, Multiply the factors term-wise. 10+6i-1-4i=10-1-4i+6i-1-4i=-10-40i-6i-24i2=-10-...

Q: Consider the following. f(x, y) = 2x – 3y (a) Find f(9, 5) and f(9.1, 5.05) and calculate Az. f(9, 5...

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Q: trying to find a and b

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Q: At which point P does the curve r(t) = ( 2t, 4t+1, t) given in vector form have the tangent vector (...

A: The curve r(t)→=2t2,4t+1,t3 has the tangent vector 4,4,3

Q: Options to choose from are at the bottom

A: we have,  cosx+sinx·tanx=secx

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and...

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Q: A linear function is given. Complete parts (a)-(d). 10- f(x) =7x-4 8- 6 (a) Determine the slope and ...

A: We have given function fx=12x-4 a. The given function is of the form y=mx+c The slope is 12. The y-i...

Q: Let f (x) = 2x² + 1 Find a function g (x)such that h (x) = ƒ o g(x) 2x2 + 12x + 19 O g (2) = x +3 O ...

A: Given fx=2x2+1. To find a function gx such that hx=f o gx=2x2+12x+19. Solution: A composite function...

Q: 2 Find the x-intercepts of y = 2 sin x + sin x – 1 on the interval [0, 27). %3D

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Q: Fhd fuoction centered ar X-0 paur serles representation for the a 16+x Retermae the Interval of Conc...

A: Given: fx=x16+x2 To Find: i. Find a power series representation for the function centered at x=0.ii....

Q: Solve by separating variables. dy 11x dx y y = (Type an exact answer, using radicals as needed. Use ...

A: Given is  dy/dx  = (11x) /y

Q: 2.- Obtain the determinant of the following matrix [A] 2 -1 -3 2 1 2 [A] 4 -3 0 6 -1 2.

A: As per given by the question, Determinant of the given matrix, A=2-103-32124-30612-12=2212-3062-12+-...

Q: Consider the following integral: 1 1 I = 2ey? dyd: 0 x

A: Given: ∫01∫x12ey2 dy dx

Q: Kindly Solve the following. Show neat, organized and complete solution. Simplify the final answer.

A: Given, x2-xy+y2=3         ......1

Q: 20-

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Q: find the vector

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Q: If 14500 dollars is invested at an interest rate of 6 percent per year, find the value of the invest...

A: Since you have posted multiple subparts we solve first three subparts for you To get the solution of...

Q: Construct a polynomial function that might have the given graph. Ay 15- 10 5 6 Is 43 -10 -15 Choose ...

A: Given graph

Q: prove for n=l,2,3. e that +2+3+..+h = ncn+l) 2. %3D %3D

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Q: Solve by separating variables. dy 2x dx y y= (Type an exact answer, using radicals as needed. Use a ...

A: The method for solving separable equations can therefore be summarized as follows: Separate the vari...

Q: use the indicated value of u to rewrite the given integral in terms of the variable u. Clearly show ...

A: Given

Q: Sketch the polar curve r= Jcos 20 and r = 2cos0. %3D

A: To sketch the polar curve r = cos 2θ   and r = 2cos θ

Q: Use your graphing calculator to solve the equation graphically for all real solutions 23 – 72? + 3x ...

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Q: Calculate lim-x+sin x x0 -1+ cos x

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Q: Calculus Question

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Q: Solve for Precalculus, please double check answer as I cannot re-ask. I will rate and like! Thank yo...

A: Given, To solve sec4x-2=0

Q: 7. Uhe Hhe appopriate test to determine Conver gence divergence" of the series. DY nfn+2 n= 00

A: Given series is  ∑n=1∞1nn+2 where an=1nn+2

Q: Determine if converge or diverge. And what it converges to if applicable and if they converge condit...

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Q: 4x -1 if - 4sx54 If f(x) = x²- find: (a) f(0), (b) f(1), (c) f(4), and (d) f(6). x° -4 if 4 <x<6 (a)...

A: In a piecewise-defined function fx, the function values at any point  a  can be obtained by using su...

Q: Find in xy = x +y. dx

A: We have to find dydx in the given equation: xy=x+y We know the formula of derivatives, dxndx=nxn-1du...

Q: We all know that the derivative of f(x)=3x^2−5 is f′(x)=6x. Verify this by calculating f′(x)using th...

A: Given function is  fx=3x2-5

Q: Find the particular solution of the differential equation that satisfies the initial condition. 1 dy...

A: Given: dydx=116-x2 ;  y(0)=π

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.