QUESTION 10 How fast is the area of a circle changing when the radius is 10 cm. if the radius is changing at the rate of 0.20 cm/sec? O a. 12.57 cm²/sec O b. 12.67 cm2/sec O C. 12.37 cm2/sec O d. 12.47 cm²/sec

Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16. W...

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Q: Match the following improper integral with the improper integral below in which you can compare usin...

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Q: How can the equation -2x2 + 3x + 4 = -7 be solved and why? Only by using the quadratic formula beca...

A: We have to solve the equation by quadratic formula

Q: - Find the following derivatives. d. In(x2 + 1) dx

A: Given query is to find the derivative of the expression.

Q: 3.1 dx x² – 25

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Q: S-) dx 5.

A: Formula:∫ 1x dx = ln x+ C∫1a2+x2dx = 1atan-1(xa)+ C I=∫1x-5x2+1 dx=∫dxx - 5∫1x2+1dxI= ln x - 5 tan-1...

Q: Find the exact length of the curve. y = ln(1-x2), 0 ≤ x ≤ 1/9

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Q: Given the below differential equation, solve for the value of y(t) att = 3.8 s. 2.5y" + 11.2y' + 5.4...

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Q: 4 f(x)=-3tan(x+- 4 Period f(x) Vertical Shift: Horizontal Shift Start End Increments

A: Solution is given below:

Q: Find all the values of x for which the given series converges. Use interval notation with exact valu...

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Q: We have  P(t) =  7000 1 + 24e−kt. Since P(1) = 840, then 1 + 24e−k = ____ , and so ek =

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Q: Using differentials, determine the appropriate increase in the volume of a sphere if the radius incr...

A: topic- differentials

Q: Find the distance between the complex numbers in the complex plane. 1+4i,-1+2i

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Q: A In27 +C In3 2ln3 (c) +C (D (3+4) 2 +C In9 E None

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Q: The points (4, 5, 2), (1, 7, 3) and (2, 4, 5) are vertices of alan h O Equilateral Triangle O Scalen...

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Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

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Q: The Cartesian coordinates of a point R are (0, 0, 3). How can this point R be expressed in spherical...

A: Find your answer below 

Q: Evaluate the following integral. 2x2 dx (x- 8)3 2x2 dx = (x – 8)3

A: topic - indefinite integral

Q: Given the graph below, evaluate the following limits: y = b Retrieved from:basiccalc_initial_release...

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Q: 43 Explain in detail with at least two sentences how to represent the difference of z1 and z2 geome...

A: Given data ÷ Z1=8 - i and Z2=-9 + 2i

Q: Evaluate the following integral. 169 dx 3 x° - 13x Find the partial fraction decomposition of the in...

A: Given problem:-

Q: A shoreline observation post is located on a cliff such that the observer is 290 feet above sea leve...

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Q: sin t (c) y = 1- cost

A: The given function,         y=sin t1-cos t

Q: a) Estimate the area under the graph of f(x)=2x+1 from x= 1 to x=2 using four approximating rectangl...

A: Given problems:- a).  Estimate the area  under the graph f(x) =2x+1 from x=1 to x=2 using four appro...

Q: QUESTION 10 Find the equation of the normal line to the curve y = 2x - x at (2, 0). O a. x - 2y = 2 ...

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Q: Q.4\ The Taylor series for cosh(x) is:

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Q: 44

A: Please refer to the image below

Q: 31. /| z sin(z + y) dA, R= [0, #/6] × [0, 1/3] R

A: ∬ x sin(x+y) dA,R =[0, π6]×[0, π3]0≤x≤π6,  0≤y≤π3  

Q: Find the derivative of the vector function below r(x) = sin°(secx ?)i +csc'(Vx² +1)j +8tan(x ²) k

A: Given: - The vector function is, r(x)=sin2secx2 i+csc3x2+1j+8tan(x2)k To find: -The derivative of th...

Q: 1. Let f(x, y) = 3x²y+ 2y. Then f(1, –1) = -5. Use approximation (12.8.1) to estimate the value of f...

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Q: "Зх — 1 (c) f(x) = x2 + 3

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Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1, ) (1.).) Oy= - 2 y= - +1 Oy= Oy...

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Q: Given the below differential equation, solve for the value of y(t) att = 3.8 s. 2.5y" + 11.2y' + 5.4...

A: This is a second order homogeneous differential equation with constant coefficients the solution of ...

Q: 2x² + 3 dx J x(x – 1)2 x(х —

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Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

A: Given query is to find the length of the curve from (-27,9) to (8,4).

Q: Use logarithmic differentiation to find the derivative of the function. X - 5 y = x° + 5 .8

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Q: Using differentials, if y=x' determine the approximate change in y when the x changes from 4 to 4.01...

A: First we find the derivative of y

Q: Solve the following equation by the quadratic formula. x2 + 3x - 1= 0 3+V13 X= 2 -3+V5 X= 2 3+v5 2 -...

A: For a quadratic equation:                                     ax2+bx+c=0 The solution is of this qua...

Q: 2 Determine the value of the series n(n + 2) 1.833 0.833 -2.167 2.833 The series is divergent.

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Q: Find the general solution of the following Differenti 1. y(y2 + 1)dx + x(y² – 1)dy = 0

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Q: Determine convergence or divergence by any method. (-1)"n Vn? +2 The series converges, since the ter...

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Q: give

A: We have to choose the correct options according to the given information

Q: 3. Differentiate the following x2-1 a) y = x2+1

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Q: Given line M = ax + by + c, b # 0 What is the y-intercept of the function? c b - M -C M - C b C- M

A: NOTE: Refresh your page if you can't see any equations. . to find the y-intercept take x=0

Q: QUESTION 5 Using double integral, find the volume of the solid that lies below the surface given by ...

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Q: y' +2y = -x8y5 will be transformed to the follo"

A: Given: - The Bernoulli's equation is, y'+3xy=-x8y5 To transformed: - The given Bernoulli's equation ...

Q: Find the interval of convergence for the given power series. Use interval notation, with exact value...

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Q: Find the velocity and position vectors of a particle, given its acceleration and initial conditions ...

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Q: Find an equation of the tangent line to the graph 16x4 + y4 = 32 at the point (1,2). %3D 1) 5 1 -+x-...

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Q: Find the solution to the initial-value problem. y' = −8x tan(y), y(0) =  ? 2 y =

A: Given query is to find the solution of differential equation.