The graph of y= sin(x) shifts T units to the left and units upward. Which of the following functions matches the graph after the translation? @ y=sin(x+ #)-n B y=sin(x + n) + A O y-sin[x-#)- y=sin(x – n) + ä

Q: how do you solve series and sequence questions? Explain in words.

A: Solution: for sequence and series , 1st you should know about the sequence Because sequence:…

Q: Calculate the following limit: lim( lim(3) e-5z+6 2-9 O 1/6 0 1 O does not exist

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Q: What polynomial describes the graph below?

A: To find : The polynomial the given describes?

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: "ou MUST answer question # 1. Then, choose Ol Use mathematical induction to prove the form…

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Q: Let f(x) =- 9x2 Determine the intervals on which f is increasing and decreasing.

A: Given: f(x)=x44-2x3+9x22 To find out if a function is increasing or decreasing, we need to find if…

Q: (23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a…

A: Use volume of right circular cone and differentiate it

Q: 1-2 For each of the following functions given by power series, find f'(x) and / f(x) dx. Do not find…

A: To differentiate and integrate the given power series.

Q: Given the triangle 14 find the length of side a using the Law of Sines. Round your final answer 39°…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that…

A: given : f(x) = 8/(x-7)(x-1)

Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a 8 Prove that…

A: use the definition of limit to simplify it

Q: Find the absolute extreme values of the function on the interval. 13) f(x) = 7x8/3, -27 sxs 8 A)…

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Q: What is the slope of the tangent line to the curve a +y +¢y=3 at the point (1, 1)? O -1 O 1 cannot…

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Q: QI) Use Taylor series method to comp ute x(0.2) and given that d'x xdx _4x =0 ,x(0)=1, (0) = 2 dt dt…

A: Taylor Series is given byf(x) = f(a) + (x-a)1!f'(a) + (x-a)22!f''(a) + .....i.e. f(x) ≈ f(a) +…

Q: Sketch the graph of g(x) = 2Vx + Vx. Support your graph by a table. %3D

A: i am providing the graph and tabular values in step 2

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A: Given a function f(x) = 8/(x-7) (x-1)

Q: Use the alternative form of the dertvative to find the dertvative at x = c (If it exists). (If the…

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Q: 1+sin (n) 2. Determine whether the series is convergent explain why. Ln=1

A: We have to test the series

Q: Question Given F(x) below, find F' (x). I o+2) di F(x) = Provide your answer below: F(x) = O…

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Q: Using the method of undetermined coefficients, what is the modified form for a particular solution y…

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Q: Question Ris the region bounded by the functions f(x) = /3x - 1 and %3D g(x) = +2. Find the area A…

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Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: This question can be solved using the concept of area under curves.

Q: A circle has radius of 7 cm. What is the length of arc intercepted by a central angle of measure…

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Q: What is the exact value of sin4)-sec(-) -4+/2 A 2 4-/7 B -4-/7 2 4+/7 2

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Q: Find the maximum and minimum values of the function f(x, y) subject to a + y* = 54 Maximum value:…

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Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: Evaluate: sin2 1. A. 575 2 В. 575 4 C. 575 96 D. 575

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Q: 40 Зп Given sin(e) , where n<0<. Which of the following is true? 2 41 A csc open parentheses theta…

A: Given sin(θ)=-4041We know thatcosec(θ)=1sinθcosec(θ)=1-4041cosec(θ)=-4140We know that…

Q: 1. Using proof by contradiction, prove Let n be an integer. If n- is even, then n is even.

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Q: Supply the missing integrand and the limits of integration dx dy -L- _dy ху A I (e-1)dy -1 y e'dy dy…

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Q: A. Find the area of the plane region bounded by the given curves 1. у%3Dх, у %3D 2х, and x + у %3D 6

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Q: Find the volume of solid generated by revolving the area enclosed by: x = y2 + 1, x=0, y=0 and y=2…

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Q: Supply the missing integrand and the limits of integration ... CT/2 c2sin e r cos²0 dr de de •x/2…

A: Question- Supply the missing integrand and limit of integration.

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?…

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Q: x(x^2+1)y'+2y=(x^2+1)^3

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Q: lim -- Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: lim --) x→0+ \x ex-1, 1 lim…

A: The given limits can be calculated using L-Hospital's rule if they come in indeterminate form.

Q: 2tan 'x -x lim,0 2x - sin'x

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Q: Find the sum: - 4+ – 5+ – 6 + ... + – 17 | Answer:

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Q: HiW:-solve the P.D.E Uxx+ Uyy-lolx++lo) U lox) = UC013) = ULY20) = U1Y,3) = c %3D

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Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: 1 lim xcosx Xcos x

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Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: Find the following integral 4sinxdx O -4 cos x + C O 4 cos x + C

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: The function s(t) describes the motion of a partide along a line. s(t) = t- 14t + 21 (a) Find the…

A: (a)  vt=dsdt      =dt2-14t+21dt v(t)=2t-14 (b) Positive direction denotes, v(t)&gt;0 ⇒2t-14&gt;0…

Q: y dy dx

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Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hopital's Rule. sin(9x) lim 7x…

A: We have to find the limit

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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Q: (22) Find the derivative of f(z) = Leave your answer unsimplified. z +1

A: