Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0. R'(x)=542-0.24√x Write the integral that is needed to solve the problem. JO 10dx dx ...

Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

A: We use the variable separable method to solve the given differential equation.

Q: Use ratio test of ∞ to n²+6 E n=28 6" test convergence a) Find ratio of successive terms. fully…

A:

Q: y = sin x y = -cos x

A: 12.The region is bounded by the curves  and .The aim is to find the area of the bounded…

Q: = Find fæ, fy, fxx, fyy, fay for the function f 5 x³ siny+8 y² cosx+3x+7y.

A:

Q: Find the equation of the tangent to the curve cos²x - sin²x y = at the point where x = I |4

A:

Q: The polynomial p(x) = 8x³ - 18x² + 7x +3 has exactly 3 zeros. If p(1)= = 0, use synthetic division…

A: Given that the polynomial

Q: f(x) = -2(sin(3x + pi/2)) + 1 for x is an element of [0, 4pi/3] State the phase shift, period,…

A: The given function is  , The standard equation of Amplitude Phase shiftVertical shiftTime period

Q: -(-²-) - and the point P(-3,0), which lies on the graph of f(x), determine the equation of the…

A: Given the function  and the point , which lies on the graph of , then to determine the equation of…

Q: .2 x²+1 lim x-∞ x²-1 X-

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: FOR MULA ERTICAL 1(0,r) OF A STRIP (r₁0) CIRCLE

A:

Q: Find the area bounded by -π y = 2 sin x, y = tan x from ≤ x ≤ 37. 3 Round your answer to the…

A:

Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

A: The objective of this question is to find the smallest number of terms required to approximate the…

Q: D. Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

A:

Q: Specify the period and amplitude for the function. period amplitude -20 -15 -10 -5 11111111 y…

A:

Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

A:

Q: Combine the integrals L 19 if (6² 1 (3x3-4x²+6x-2) dx + 7 1 into one integral 2 (6x4–3x³ + 10x²+ 8x…

A:

Q: Use multiplication or division of power series to find the first three nonzero terms in the…

A: By using multiplication or division of powerseries to find the first three nonzero terms in the…

Q: 1. Use the Limit Comparison Test to determine whether the series below converges or diverges. List…

A:

Q: * Find the general Solution of.. dy dx = 2 + 3y

A:

Q: Find an equation of the line tangent to the following curve at the given point 11x 6 y = 1+ sin 0…

A:

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A:

Q: Match the series with the right expression. (Use the Maclaurin series.) (−1)n3−(2n+1) 2n + 1 1. 0 2.…

A:

Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

A:

Q: cos(x) - 1 lim 10 esin(z)-1-x

A:

Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

A:

Q: Find an equation of the line tangent to the following curve at the given point. 2 5x 3' 6 y = T= 1…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: I have appended the concept used in the solution procedure

Q: 18. Find the volume of the largest right cylinder that can be inscribed in a cone of height 20.00…

A:

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A:

Q: 6. A particle moving with the velocity function v(t) = t²-3t+2,0 ≤ t ≤ 4. Find (i) the net distance…

A:

Q: Find the area bounded by y = 2 sin x, y = cos 2x from 0 ≤ x ≤ T. π. Round your answer to the…

A: Given that the region bounded by curves

Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= if x…

A:

Q: 4. The financial department of a hospital arrived at the cost function: C(x)=20x³-360x² +2300x-1000,…

A: Given cost function is

Q: The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 6 m, at what…

A:

Q: cos(3x) = ² √2 2

A: Given that expression we have to find a solution

Q: 2 T If f sin (3 x) sin (n x) dx = π, then n = 0 Number

A:

Q: In the following exercises, use a change of variables to evaluate the definite integral. 2 294. ² t…

A: By changing the variables, to evaluate the following definite integral.

Q: Solve Cauchy problem for the non-homogeneous equation: 4 y" +4y' + 3y = 3x, y(0) = − ½, y'(0) = ²

A:

Q: The estimated change in area is m² (Type an exact answer, using as needed.) The estimated change in…

A: The radius of a circle is increasing from 9.00 to 9.09  mdr=9.09−9.00dr=0.09 mr=9 m

Q: The population of a country in 2010 was approximately 32 million with an annual growth rate of…

A:

Q: feet per second Preview c. From t = 1.11 tot 11.11 seconds... = feet per second Preview

A: Given that the formula d=9t-10 expresses a car's distancewe have to find the average speed of the…

Q: ← The following graph shows the rate of inhalation of oxygen (in liters per minutes) by a person…

A: From the given data and graph,we can useLeft Riemann sumeach width= h =1At x=1, f(x)= 2.7 At x=2,…

Q: b) 9-x² x²+4x+4

A:

Q: 3. Two savings account start with $100 each. Account A earns $2 annually while account B earns 2%…

A:

Q: Evaluate the limit lim x →0 O -1 1 18 1 9 √81-x-9 X

A:

Q: Find the degree 3 Taylor polynomial T3(x) of function at a 4. T3(x) = f(x) = (3x + 69)5/4

A:

Q: The table gives the values of a function from an experiment. Use the table to estimate So f(x)dx…

A:

Q: Use Stokes' Theorem to evaluate f F · dR, where F = yi + zj + xk where c is the triangle given by…

A:

Q: Evaluate the following integral. 498. (e+e-ª) dx

A: The given integral is ex.

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A: Given that the polar curve