Calculus Question

Q: question-based on, "find the maximum value".   Incorrect answer: (3/2,29/4)   I have tried it but un...

A: Using the Maxima and minima then maximum value is 29/4.

Q: Find the center, foci, vertices, and eccentricity of the ellipse                               x2 + ...

A: Given  The equation of ellipse is x2 + 10y2 − 6x + 20y + 18 = 0 .  

Q: { 1/(x + 2) , x2, sin(x – 1)/(x – 1), x 1. y = F(x) : %3D - 2- -1 3. 6. -2- -4- -6- -8- ounan a n dq...

A: y=Fx=1/x+2,        x<−2x2,                  −2≤x≤1sinx−1/x−1,  x>1

Q: 2a4 + 15x3 + 41x² + 48x + 20 2. For the function f(x) = %3D 3x4 – 17x3 + 19x2 + 21a - 18 (b) sketch ...

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (x2+4)/(x2-1)

A: Given: fx=(x2+4)(x2-1)

Q: The acceleration, initial velocity, and initial position of a body moving along a coordinateline at ...

A: The acceleration, initial velocity, and initial position of a body moving along a coordinateline at ...

Q: a x (b· c) a x b/|c ах bc a· bc

A: a) is not defined because (b.c) is scalar. b) is is defined if we bracket a× b c) is not defined bec...

Q: f(5) = 4, ƒ'(5) = 2, g(5) = 6, g'(5) = 9, calculate the following: (fg)'(5) (f/9)'(5) = (g/f)'(5) =

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Q: Solve the equation. 5(x-2)/6 -x =1- x/9 x=?

A: 5x-26-x=1-x9

Q: Use words to describe the given formula, cos * cos * = (1/2) [cos(*- *) + cos(* + *)]

A: We know that cos(A+B)=cosAcosB - sinAsinB           ...(1) cos(A-B)= cosAcosB + sinAsinB          .....

Q: Locating extrema Consider the graph of a function ƒ on theinterval [-3, 3].a. Give the approximate c...

A: We have to consider the graph of a function on the interval -3,3

Q: A particle moves along the x-axis. Its acceleration is a = -t2. At t = 0, the particle is at the ori...

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Q: Use the method of partial fractions to verify the integration formula.

A: We have to find the integration of 1x2a+bx using the method of partial fraction, So finding partial ...

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: Explanation: Given that,  f(x)=1+xx Here x approaches to zero. limx→01+xx Now we will find the left-...

Q: Let R be the region bounded by ? =3√?, y = 0, and x = 8. Find the volume of the solid generatedwhen ...

A: Consider the graph:

Q: Question 3_dx? Which of the following is true of " dx? 25-x 25 Select the correct answer below: The ...

A: Given information: Integration ∫025325-xdx If the integration of the given integral exists that come...

Q: Find the centroid of the boomerang- shaped region between the parabolas y2 = -4(x - 1) and y2 = -2(x...

A: Concept: A parabola is a cure where any point is at an equal distance from a fixed point and a fixed...

Q: Complete the table to find the derivative of the function without using the Quotient Rule.

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Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: For what value of a is the following function continuous at every​ x?

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Q: Let y=(f(x)+5x^2)^4 and suppose f(−1)=−4 and dy/dx=3 when x=−1. Find f'(−1).

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Q: Are the following planes parallel or perpendicular or none? 3r+2y-5z – 9 = 0, 3x– y+2z – 9 = 0

A: Consider the given plane. The general for of the plane is defined as, A1x+B1y+C1=DAnd,A2x+B2y+C2=D C...

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 3 y ...

A: *The given equation of the curve is y=2x13 *The interval of rotation is 0≤x≤32 Since the curve rotat...

Q: Finding a second derivative. Find d^2y/dx^2 implicity in terms of x and y

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Q: Evaluate the improper integral or state that it is divergent. 16 dx (1 + x2)tan¬1x 16 In 16 In 2 m플 ...

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Q: Let h(x)=f(x)g(x), where f(x)=ln(4x2−3x) and g(x)=3x−1. What is h′(x)?

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Q: 1. Find the derivative of the expanded function  a. a^2x^2+2abx+b^2 b. a^2x^4+2abx^3+2acx^2+b^2x^2+2...

A: 1. a) Given, a2x2+2abx+b2 Consider,  y=a2x2+2abx+b2 Differentiate with respect to x, dydx=ddxa2x2+2a...

Q: * Question Completion Status: Moving to another question will save this Question 9 Integrate the fun...

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Q: 1 Graphing Polar Equations Sketch a graph of the polar equation. 23. r= -2 cos e 24. r = 3 sin 0 25....

A: (Note: We are entitled to Solve only one question at a time and upto 3-subparts only.) Given: (i). r...

Q: We denote by ->EF the vector that goes from a point E to a point F. Consider A = (3, -1, 5), B= (1, ...

A: given: A=(3,-1,5) B=(1,3,7) C=(2,2,2)

Q: Find the volume of the solid obtained by rotating theregion bounded by the given curves about the sp...

A: Given that y=x3          ...(1) y=x           ...(2) x≥0 Using (1) and (2), x2=xx(x2-1)=0x=0     or ...

Q: 3 f(x) = x + 3 find f' (x). f'(x) = | Find f' (2).

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Q: Need help with ones circled. Thanks!

A: (11) The maximum number of beats in one minute: Hx=208-0.7x   The term x is the age of a healthy adu...

Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x...

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Q: I am having trouble on this practice problem. I keep getting upside down parabola but I dont think t...

A: Given graph of y=f(x)

Q: Q1// Graph and discuss, with detail, the continuity of the function -1 <x< 0 x2- 1 2x 0 <x< 1 y = f(...

A: The given function is y=fx=x2-1,-1≤x&lt;02x,0&lt;x&lt;11,x=1-2x+4,1&lt;x&lt;20,2&lt;x&lt;3  

Q: Find dy/dx by implicit differentiation and evaulate the derivative at the given point.

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Q: Show that the absolute-value function y = abs(x) = |x| is NOTdifferentiable at x = 0. (Hint: by limi...

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Q: The region enclosed by the given curves; y = e(-x2), x = 0, x = 1, and y = 0 is rotated about they-a...

A: Obtain the region as shown below: About y-axis, the region is rotated. Divide the region into two p...

Q: 3. Find cos2020 r dr.

A: Given: I=∫02πcos2020x dx We have to find the given definite integral.

Q: x+y – 2z = 1 5y + 2z = 3 -2x – y + 3z = 2 By Cramer's rule, solve the system

A: We first make the coefficient matrix and find its determinant.  11-2052-2-13=1(15+2)-1(0+4)+(-2)(0+1...