H.W: Find y, y"and. y" for the fullowing -2X -xe 3- y=a Sin 3X 一ズ 2.y=eInx 4.y= In(Sex. = In (Sex +tan x)

Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x- a...

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: Find the area bounded by the curves 4y – x = 0 and y – 4x = 0 1. For points of intersection. 2. Area...

A: 4y=x2 and y2=4x1.) solving bothx242=4xx4=64xx(x3-64)=0x=0 , x3=64x=0, x=4corresponding  y-valuesat x...

Q: Let f(x) = r + 5•x + 2 and g(x) 2 x +7. x + 1. Write down an expression to calculate the area betwee...

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Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

A: The given problem is solved below in detail.

Q: Is the function one-to-one?

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

Q: Use the chain rule to find the derivative of f(x) = 2( – 72* – 8z*) 4 You do not need to expand out ...

A: Given: f(x)= 2(-7x8-8x5)14

Q: Find all local extreme values of f(x) = r + 4x² + 6x 10. The FIRST local extreme value, moving from ...

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Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). xS + 32y = In y %3D y'l(-2,1...

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Q: Solve the given system of differential equations by systematic elimination. (D2 + 2)x - -2x + (D2 + ...

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Q: S4 csc2 4x dx

A: Solution is written in below steps

Q: A tank initially contains 180 L of pure water. A mixture containing a concentration of y g/L of salt...

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Q: cosh?x-sinh²x = 1 %3D

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Q: Over 4 years, researchers studied the growth of a fish population and found its growth rate to P'(t)...

A: solution:-p'(t)=10-31+t2+t3     where t∈0, 4∫04p'(t)dt=∫0410-31+t2+t3dt                 =10t-3tan-1t...

Q: APPLICATION: Direction: Show the following. 1. f(x) = x2- 6x + 3 is continuous on the interval [- 3,...

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: x5-3 14. S4 cos (-3x + 2) dx

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Q: Find dy/dx given that 3(x +y) = 100xy Solution:

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount...

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Q: Consider the image below y = f(x) a b Let a = 6 andb = 7. If the average value of f(x) on the interv...

A: Given that a=6 and b=7. The average value of f(x) on the interval [6,7] is 18.

Q: (1) Show how to compute the Jacobian for a double integral f SR f (x, y)dxdy to a double integral in...

A: The Jacobian formula is: J(u,v)=∂(x,y)∂(u,v)⇒J(u,v)=∂x∂u∂y∂u∂x∂v∂x∂v...(1)

Q: 15. S 4cot 5x csc25x dx

A: Student has specifically asked for the solution to Question(15) only. Hence solution to that problem...

Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is: x-a...

Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

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Q: Solve the given system of differential equations by systematic elimination. (D2 – 1)x - y = 0 (D – 1...

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Q: NOW YOU SOLVE THIS! Use Table of Values and Graphing to determine the limits of the following functi...

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Q: Suppose D is the region bounded between the z-axis, the curve y = e", and 0 <I<1. Compute the integr...

A: Use simple integration formula.

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: find revenue function using integration

Q: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If...

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Q: A boat with its load weighs 1,328 N. If the force exerted upon the boat by the motor in the directio...

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Q: find (y') by Implicit differentiation x² tan(y) + y10 sec(x) = 2x

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Q: The graph below is the function f(r) 5+ 4- 3. -5 -4 -3 I 2 3 4 5 02+ -3+ -4 -5+ Find lim f(x) = I→ -...

A: limx→-1-f(x)=2limx→-1+f(x)=2

Q: Q3// Evaluate (a) lim,4 VE-2 S-V49 sin 3y cot 5y (b) limy-o y cot 4y

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Q: 10 -10 -5 10 -5 10 5 5

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Q: 13. dx x5-3

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Q: The axes of two circular cylinders of radius a intersect at right angles. Show that the volume commo...

A: 8∫0ady∫0a2-y2dx∫0a2-y2dz = 8∫0ady∫0a2-y2dx (a2-y2)8∫0ady∫0a2-y2dx∫0a2-y2dz  =8∫0ady (a2-y2)8∫0ady∫0a...

Q: Use implicit differentiation to find y' and then evaluate y' at (2,0). 4 eY = x? - y³ y' = D y'l20) ...

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Q: What are the inflection points?

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

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Q: c) Suppose a car drives at a speed of (5+ 3t ) m/s where t is time in seconds. How far did the car g...

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Q: Question 8 Integrate the function. dx V9 - x2 COs:1 X+C 2 cos x+ sin x+C D sin *-C Question 9 413

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Q: Question 2 Find the domain: X-y f (x.y) = x2+x-6 O {(x, y): x# -3 and x # 2} O (x, y): x - y 0} O En...

A: The function should be well defined. For this function to be well defined, denominator must not be e...

Q: . Using integration by parts: prove that ſ In u du = u In|u| – u + C %3D

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Q: 3 The altitude of a triangle is increasing at a rate of 8 cm/s while its area is increasing at the r...

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Q: by L'Hopital's rule 3 sin 0 lim

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Q: A boat with its load weighs 1,435 N. If the force exerted upon the boat by the motor in the directio...

A: F=72- 2vma = 72- 2v14359.81 dvdt=72-2v∫(146.3) dv72-2v=∫ dtt=-146.32ln(72-2v)+Cv=0 at t=0C=146.32ln(...

Q: In a race, Paul starts running from rest at a constant acceleration of 2 m/s. He is running in a str...

A: Find your answer below 

Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

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Q: y2 – 2y + 3 2.5 Vy3 - 3y2 + 9y – 21 dy

A: 2.)∫y2-2y+3y3-3y2+9y-215 dy=13∫3(y2-2y+3)y3-3y2+9y-2115dy=13∫3y2-6y+9y3-3y2+9y-2115dy=13∫y3-3y2+9y-2...

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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