En ampie: X =t3 15 siver y = 2t +3 Ro tote obgut y-exis. Find, the surface arear,

Q: Calculus Question

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Q: Determine the limit algebraically, if it exists x3 + 12x2 – 5x lim 5x O -1 O 5 DNE

A:

Q: If a function f is not defined at x = a then the limit lim f(x) as x approaches a never exists. Sele...

A: To check: Whether the statement is true or false: Given: The statement is " If a function is not def...

Q: * - 1 2. Solve dx y +1

A: Given: dydx=ex-1y+1.

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Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If in...

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Q: Find the area of one leaf of the rose r= sin(150). Enter your answer in terms of 7, do not use decim...

A: we have to find area

Q: 3- The number 20.004 is of; a) O three significant figures b) 0 five significant figures )0 two sign...

A: We can find the significant figures as below

Q: The first order partial derivative of f(x, y)= x' with respect to 'x' is а. ух-1 yx- b. (у-1)x' c. x...

A: For partial derivative with respect to x, we take y as a constant.

Q: Determine convergence or divergence of the series. 3n2+3 n=1 n+7n+1 Converges Diverges

A: this series diverges

Q: Find an equation of the tangent line to the curve defined parametrically by x =? -t and y =t- 32 + 9...

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Q: if the sum of squares zeros of the quadratic polynomial f(x) =x^2-8x+k is 40. Find k

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed enclosed b...

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Q: Create the different representations of a piecewise function according to the conditions. A piecewis...

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Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: How many two- 7o-digit numbers are divisible by 9?

A: We will solve the following. 

Q: Calculus Question

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Q: A Wheel has a diameter 84 cm. Find how many complete revolutions must it take to cover 792 meters

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Q: Answer # only. You may use trigonometric or inverse trigonometric functions

A: This question is belongs to the application of derivative in which we have to find the third side ra...

Q: The integral: S(5 sin æ + 11 cos x)dx = %3D O 5 cos z 11 sin r + C - O -5 cos 11 sin r + C O 5 cos z...

A: We will integrate the following. 

Q: Using appropriate rules, find the derivative of y-r'e + sin(3z+ 5z) 2 3z

A: on solving this we get the

Q: Show the following concepts are true by providing specific examples of the functions and apply the i...

A: Give examples: For f∘gx=g∘fx. Calculation: Assume fx=x2 and gx=x, then f∘gx can be obtained as, f∘gx...

Q: Please show all steps

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Q: The reported CORONAVIRUS cases was 1200 in Oman on MARCH, 2021. It was expected to raise to around 1...

A: The cases were 1200 expected to rise to 1800  ,the cases actually rose to 2500  Expected value is 18...

Q: Find the derivatives of the following function.

A: Given function, y=tan-1-9x3

Q: Find the horizontal and vertical asymptotes, along with the x intercept and y-intercept. Please show...

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Q: If ƒ(x) is continuous [-00,b]then on ſf(x)dx= lim [ ƒ (x)dx а. a a

A: Explanation of the solution is given below...

Q: Based on your initial ideas, give five different examples wherein you can apply the concept of deriv...

A:

Q: if the sum of squares zeros of the quadratic polynomial f(x) =x^2-8x+k is 40. Find k

A:  

Q: please answer quickly.

A: The slope equation is: dydx=2x1+13+x2 So, y=∫2x1+13+x2dx+C  =∫2x+2x3+x2dx+C =∫2x dx+∫ddx(3+x2)3+x2dx...

Q: For each of the following functions, find the indicated derivative using the definition.

A: To find the indicated derivative of the given function f(x)=tan 3x We know that  d(tan x)=sec2x Then...

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM ( 1. y = Arctan√3x−4/4 2. y = 2 Arccos (...

A: d2dx2arctan3x-44=d2dx2arctan3x-42=ddx1x3x-4=-9x-82x23x-43x-4   d2dx22arccos1-x2+4x-x2=ddx-x+4-x2+4x=...

Q: The radius of a sphere increases at a rate of * = 8 cm/sec. Find the rate at which the volume increa...

A: Given,          The radius of a sphere increases at a rate of drdt=8 cm/sec, when r=2 cm.

Q: Graph the following function using information from the first and second derivatives. Label all key ...

A: Given function is                                                        f(x)=ln(3x)4x2 we have to d...

Q: differential equation question

A:

Q: Evaluate the integral using by parts method: S 6x5 In 3x dx

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Q: Please don’t forget to to answer question (D) the graph

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed enclosed b...

A:

Q: Let f(x) = (x³ + 3x + 7)3 f'(x) = f'(4) =

A: According to question given thatf(x)=(x3+3x+7)3

Q: The temperature T, in degrees Fahrenheit, t hours after 6 AM is given by: 1 T(t) = -t2 + 8t + 32, 0<...

A: Given: The temperature T, in degrees Fahrenheit, t hours after 6 AM is given byTt=-12t2+8t+32,  0≤t≤...

Q: Complete the table and graph it

A:

Q: sin(2x) – sin(x) = 0

A: sin 2x = 2 sin x cos x

Q: Calculus Question

A:

Q: Consider the expression 4-x² dx = F(x) + C• The expression F(2) – F(– 2) is equal to TT 2 Tt

A: ∫4-x2 dx=∫22-x2 dx=x222-x2+222sin-1x2+C    ∵∫a2-x2 dx=x2a2-x2+a22sin-1xa+C=x24-x2+2 sin-1x2+C Here, ...

Q: What is the solution of the lim x--4 O 8

A: We have to evaluate the following limit: limx→-4x2-16x+4

Q: 1. Describe the relationship between the derivative of a function to the slope of the tangent line.

A: Query- Describe the relationship between the derivative of a function to the slope of the tangent li...

Q: How many two-digit numbers are divisible by 9?

A:  

Q: Verify Rolle's theorem for the function f(x) = 2x2 – 20x + 33 on the interval [2, 8]. -

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Q: The area of the region between the curve y x'-6x+ 8 and the x-axis & x=0; x= 3 is given by -6x+8)kke...

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Q: The radius of a sphere is 5 cm with a possible error of 0.04 cm. Use differentials to approximate th...

A: First find the percentage error in radius than use Differential to find relative error in volume.