Given t2 - 25 dt 1+ cos2(t) f(r) 0. At what value of I does the local max of f(x) occur? H.

Q: Let A, B, and C be the following matrices. ] c-[] -8 6 -7 7 3 4 A = B 4 Find the products AC and BC.…

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Q: At a dinner party hosted by The University: • 13 guests had steak and chicken • 29 guests had steak…

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Q: 9 NO ION If g(x) = [ cos t dt, find g '(x). %3D x10 -sin (x) -10x cos (x) COS 1 cos (x°) %3 10x9 cos…

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Q: time (sec) velocity (ft/sec) 11 1 19 2 20 3 12 4 3 1 8 feet

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Q: In polar form, the integral (a + y°) dy dæ 9-22 reads 2T 73/2 dr d0 r°dr do ?dr de 0. O None of…

A: To convert cartesian co-ordinates (x,y) into polar co-ordinates (r,θ) we use the following…

Q: ORegion hamded. by. S=-xrd 33-X=4

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Q: Solve the given initial-value problem. 1 2 5 X' = |х, X(0) %3D 1 1 X(t) =

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Q: The relationship between the number of decibels B and the intensity of a sound I in watts per…

A: Let's find.

Q: Consider e": for all æ E R. n! a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: Convert to an equation in rectangular coordinates. r = 4 csc (0) – sec (0) (Express numbers in exact…

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Q: Consider the series Σ (x – 8)4 5- 2! (x – 8)6 25 · 3! (x – 8)8 125 · 4! an = (x – 8)² + +... n=no…

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Q: 4. Given function f (x,y)=e-(x° +y"), and classify them into maxima, minima and saddles. then find…

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Q: 5. y = 4x – x², x = 0 , y = 4 , revolved at y axis -

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Q: x – 2 Let g(x) x + 3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate g(0.2)…

A: Solving

Q: Solve xy = 8y – 7x, y(1) = -4. || (a) Identify the integrating factor, a(x). a(x) = (b) Find the…

A: Rewrite the differential equation in first order and solve it.

Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

A: Find your answer below

Q: 1. IF A FORCE OF 80LB STRETCHES A 12FT SPRING BY ONE FOOT. FIND THE WORK DONE IN STRETCHING IT A.)…

A: Work done= Imposed force × displacement

Q: Approximate the value of the given integral using the trapezoidal rule 12 y dx where the function y…

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Q: OQUESTION 14 Find the area enclosed by the given curves. y = 4 - x 2, y = x +2,x= - 2 and x = 2 O…

A: Given query is to find the area enclosed.

Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: dy Q7. Find y" from the equation dr? %3D ry – y = x. (HINT: First differentiate both sides of the…

A: Let us consider the equation, ax+by=x By Implicit differentiation we get, a+bdydx=1

Q: 4x – 6 2. Let f(x) 1– (2x – 3)3 a. Find the Taylor series representation for f about x = 1.5 that is…

A: Let's find.

Q: 2r Find the absolute maximum and absolute minimum of the function f(x) = 2x 3 over the interval [0,…

A: Absolute Maximum and Absolute Minimum in a closed interval: step 1 : Find the critical point of the…

Q: Find the general solution of the given system. 10 -5 X' = 8 -12 X(t)

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Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

A: Given problem:-   Volume of Region bounded by y = x², x=0 and y=15, rotated about the y-axis

Q: Solve the following differential equation:   y′′+9y=0; y=3,y′=3 at x=π/3

A: Given y''+9y=0; y=0, y'=3 at x=π3 To find the Solution:

Q: Convert the equation r = 4 sec (0) from polar coordinates to rectangular coordinates. (Express…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, P(4,…

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Q: 2x + 4 h(x) = 1 2x 1 f (x) = 1 –x g(x) = 3( x + 2x 6. | 3 -- 8. a.lim -4 · f (x) d.lim (8 · f(x) –…

A: Given:      fx=1-18x      gx=3x+2x6+4     hx=2x6-2x+13

Q: n=5 Task 2: Find the point on the curve y = x² closest to the point (0, m + n), %3D where m is the…

A: m+n=8+5=13The point (0, 13)let the point on the curve be(h, k)y=x2k=h2distance between two points(h,…

Q: 1. Which of the following is a function а. у%3D х2 — 5ху b. х2 — 5х + 4%3D у с. у? 3D х2 d. y? = 3x…

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Q: (a – x)°dx S(4x + 1)°dx

A: use the substitution method for solving the integral.

Q: sinx So Sa* y dy dx fi dx dy 3. 4-

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Q: Calculate -3 + li. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 27. a = b =

A: This question is based on conversion of rectangular form to exponential to polar form of complex…

Q: The evaluation of So So x y e**dxdy is 0.5 e 0.25 e - 0.5 O e - 0.25

A: Double integral

Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F (z) = : sin(t) dt…

A: Given query is to find the derivative.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: Given :a) Oppositely directed to v=3,-12 and half the length of v.To find : w=(?, ?)b) Length 2 and…

Q: Example For the curve y = f(x) = x², 0 <x < 2, its length is dy 1+ dx L = dx %3D

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Q: Either prove the following statement is true or provide an example to illustrate it is not true: if…

A: This question can be solved using the concept of even function.

Q: 3. Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: Approximate the area under the curve y=x^2 from x=1 to x=4 using a Right Endpoint approximation with…

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Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,z=1 y+1 3 z-1 %3D %3D За 2a Find the…

A: We have to find the point - normal equation of plane.

Q: (a) / 2x vx + 1 dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. The cosine of the…

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Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table.…

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Q: Find and classify the critical points of the function f(x, y) = x² + 2xy+ 3y + 2x +y . %3D O (-2,1)…

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Q: Answer the following question Find the 12th derivative of the function ()65

A: To find,  12th derivative of the function x265.

Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

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