4 Find f(x) dx if if x< 2 f(x) if x 2 2.

Q: Ql: If f(s,t) = s²t+ In(t² – s) find the value of a) atas Q2: For the following function prove that…

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Q: Choose the right description for the given differential equation 3 Sm :) + 8 m бр? COS m + Т. %3D O…

A: The given DE is: δmδn2+δ2mδp2=cos m+T

Q: Use the chain rule to find the derivative of f(x) = 6/3x + 5x10 Type your answer without fractional…

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Q: I need the graph of the solution and describe its behavior as t increases

A: Apologies for the inconvenience. The solution is: yt=-1+5t3e-13t [used t place of x in the original…

Q: cos(xy) + secy = 5

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Q: X- Consider the function f(x) = x2 -1 Please explain all steps (a) Find the intercepts of the graph…

A: This is a problem related to function. Based on the general formula and concepts we will answer the…

Q: x-1 y = log x+1

A: Topic:- derivatives

Q: 2. Calculate the area enclosed by the graph of y = x + 2x? - 5x - 6 = (x + 1)(x – 2)(x + 3)

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Q: the derivative of f(x) = x% (x% +x% + x%

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Q: Determine s) for $) = 31 + 212 1 s'() = 41 + 3 Os') = 41 + O s'() = 41 - %3D s'(t) = t+4t %3D

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Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

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Q: Given: a = 22, c= 24.1, zB = 6T C a A Solve the triangle. (Do not round until the final answer.…

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Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: We have to find the point where the angle is greatest

Q: Determine whether the series is absolutely converger convergent or divergent. Please provide…

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Q: Find the ff value in the matrices. PART I IF P= A+B find the value of the following # 1 P1 # 4 P21 #…

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Q: In(x®y®) = x² +y³

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Q: y = log, x+1

A: Given: y=logx-1x+1

Q: Select one: 2s2 - 2s 6 S-3 O None of these 252 2s + 6 3 3s2 - 3s + 6 2 3s2 3s 6 S-2 Which of the…

A: Topic:- function  Note :- as per our guideline if more than one question uploaded than only first…

Q: Find the work done by the force field F in moving an object from P(-4, 8) to Q(6, 4). F(x,y) = 2* 1…

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Q: For which value of x is the function f(x) = X - 4 undefined? 2х - 8 O.4 04 1/2

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Q: re' dy + +1 dr =0 O (y – 1) e + + In z = C 2. O-(y+1) e + Ine =C 2 O (1- y) e + 1. O 2y - e + +In=C

A: To solve given differential equation

Q: y= Arccos(e2x)

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: dx The integral of the given function ſ is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None…

A: A detailed solution is given below

Q: f (x)= arcsin (x³)+ aretan (4x)

A: derivative

Q: 4. A cherry pie with a temperature of 120°C was placed on a table to cool in a room of constant…

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Q: The integral of the given function sin³x cos x dx is equal to а. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

A: To evaluate: I=∫0π2sin3x cos x dx

Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: 3. (1 + e**) + e (1-- 0 Ans. x + ye*/y = C

A: To differentiate.

Q: y = 4 (2,4) A y = 2x x = 2 B y =x (0,0) Region A is bounded by the lines y= 2x, y= 4 and the y-axis.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: (1- sin@) ) (1-sini (It sine

A: Given: I=∫dθ1-sinθ1+sinθ   As we know that; The trigonometric identity: 1). sin2x+cos2x=1 2).…

Q: 3) Compute the cross product: x

A: Let vectors are given as       a = 4i-j+2k    &amp;   b = -5i -3j+10k

Q: X = -y A y 2Fx = 2- y² -2

A: Recall: Formula Area=∫abf(y)-g(y)dy  We have,  f(y)=2-y2, g(y)=-y

Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: メp )の

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Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: Use the accompanying graph of y = f(x). Does lim f(x) exist? If it does, what is it? x-4 (6, 2) (10,…

A: We need to find limit.

Q: how does csc x/ cos x is equal to sec^2 x/ tan x

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Q: Integration of (sin(x) + cos(x)) e^x is ______________.

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Q: Find the equation of the tangent line at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

Q: Find the length of the curve 7 (t) = (cos(3t), sin(3t), 2t) for – 8<t< 7 - Give your answer to two…

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Q: Exercises: Find the derivatives of: 1- sin(x?y?) = x, 2- xy + y? = 2

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Q: 4x 9. sech(2x) dx e

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Q: dx (x² + 1)

A: To solve the given integral

Q: Given the equation dx + xydy y? dx + ydy. Solve for the solution when x = 3 and y = 0 1. ( ) da + (…

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Q: dx J1- ² 2x + x°

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Q: Solve the equation xydx - (x + 2)dy = 0

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Q: Simplify the complex number. Express your answer in a+ bi form and include each step necessary in…

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Q: Show all necessary solutions. I. Find the equations of the horizontal and vertical Tangents. a. 25x?…

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Q: 9x2 dx Vx3+2

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