3. Find the value of a if the two curvesy - e and ye are to intersects at right angles. 4. The sum of two positive numbers is 50. What are the numbers if their product is to be maximum?

Q: If f(x) = 3x² x = find -9, find a so that f'(x) = 0. 10x - 9, Preview

A:

Q: 1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x²…

A:

Q: For the following function, solve both f'(x) = 0 and f''(x) = 0 for x. f(x) = x(x - 2)6 f'(x)=0 when…

A: Givenf(x)=x(x-2)6   We are required to find points at which f'(x)=0 and f''(x)=0

Q: ²y"+xy¹+y=0; y(1)=1; y'(1)=2

A: To find solution

Q: A set of simultaneous equations is given by: 3x = 5-4y 2x+5y-1 When written in matrix form, what is…

A: To write the system of equations in matrix form

Q: f(x) = ex/³; [1₁3]

A:

Q: If you drive 98 miles and use 7 gallons of gas, what is your rate of gas consumption? miles per…

A: Given query is to find the rate of gas consumption.

Q: Find T, Ñ and B for the curve r(t) = = (3 cos (5t), 3 sin(5t), 2t) at the point t = : 0 Give your…

A:

Q: Evaluate -12-31 (x + 4)(x - 5) -dz +C

A:

Q: What value of a makes the equation 2(+7) = 8(²-5) true? Provide your answer below: X=

A: we know that  if  ax=ay,  than  x=ygiven   2(x+7)=8(x-5)

Q: Use the first three terms in the Maclaurin series expansion of e Se-x² a dx to estimate the integral

A:

Q: Evaluate the surface integral 3 z do, S where S is the portion of the plane x + 2y + z = 2 lying in…

A:

Q: If y = f(x) then which of following expressions represents the derivative of the function with…

A: Given query is to find the correct options for derivative.

Q: 2 A 2401 5t +13 e that an automobile's velocity starting from rest is v(t) ation at 9 seconds. Round…

A: Given query is to find the acceleration at indicated point.

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find the inverse Laplace transforms of the following functions: A) S 2s² + 128

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the Taylor polynomial of order 3 centered at 0. f(x) = ex 12 2 1 3 OA. P3(x)=1-x+ O B. P3(x) =…

A:

Q: If a > 0 and b>0, then ln(a + b) = ln a + lnb.

A: We will use the properties of logarithm to determine whether the given statement is true or false

Q: Suppose the rate of change of the unit price p of video boards is p'(x) = - 1800x (x² +77)³/2 where…

A:

Q: Solve the following rational equation for x: 4 x²+2x-3 x-1¹ x+3

A:

Q: Find parametric equations for the following curve. Include an interval for the parameter values. A…

A:

Q: Determine the radius of convergence of the following power series. Use the Ratio Test or the Root…

A:

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: To apply integral test and check the convergence

Q: Determine the Taylor series expansion of f (x) = ln(x + 3) Use the first three terms in the…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Let f(x) = x (6-x)* . (a) Determine the interval(s) on which the graph of ƒ is increasing or…

A: Given function:- fx=x6-x23

Q: Select all the rules that can be used to differentiate O Use algebra to rewrite g (t) = Use algebra…

A:

Q: Find the equation of the quadratic function fwhose graph is shown below. 10. (-2,7) (-3,4) 5 f(x) =…

A: as shown parabola opens downward so standard equation y = -a( x - h )2 + k

Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

A: we need to find out the exponential growth function and also the cost of the groceries in 2013.

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A:

Q: Use the binomial expansion to determine the first four terms in the Maclaurin series expansion of…

A: We have to find the first 4 terms of McLaurin series.     According to our guidelines we can solve…

Q: Find the exact length of the polar curve described by r = 6e-0 7 on the interval ≤ ≤ 8π. π

A: formula for are length is  L=∫abr2+(drdθ)2dθdeθdθ=eθ

Q: an = n(5 n²+1) n-3 n³

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Test I : The slope of the Families of curves and reciprocal of square root GF Find: a.) eg. of…

A:

Q: Use integration by parts to evaluate the integral: f21²edt = [ Submit Question

A: Given query is to find the integral.

Q: Consider the functions y = (x - 2)² +3. 13. a. Find the inverse of the function. b. Find f-¹(-4). If…

A:

Q: Perform the indicated operation: 10cis(13/3π)/5cis(4/19π) Do not round and type "degree" for the…

A: Given query is to simplify indicated operation.

Q: y"-2y'+5y=10x²-3x-3

A:

Q: If 5 11 f(a)da = 9 then the average value of f(x) on the interval [5, 11] is 3/2. O True O False

A:

Q: For the real-valued functions g(x)=2x-1 and h(x)=√x+5, find the composition g oh and specify its…

A:

Q: Find the equilibrium point for a product D(x) = 48 – 5x and S(x) = 20 + 2x. Round only final answers…

A:

Q: Student grades on a chemistry exam were: 77.78.73, 81, 87, 51, 79, 82, 84:91 Select the…

A:

Q: Find the Taylor polynomials P₁,..., P5 centered at a=0 for f(x) = e*. D₁(x) = 1

A: iven f( x ) = e-xcentered at x = 0

Q: The supply for a particular item is given by the function S(x) = 19 + 11x. Find the producer's…

A: formula for producer surplus is =(p)e(x)e-∫abs(x)dxgiven  s(x)=19+11x

Q: USE the Limit method (Riem Sums) to prove that Ja Xdx 11 32-92 2

A:

Q: Complete the table and use the result to find the indicated limit. If f(x)= O A. OB. O C. O D. √x+1…

A: The answer is given in step 2.

Q: ★ 3. Use Stokes' Theorem to compute as F. dr F(x, y, z) = (z², x², y²) on the region bounded by z =…

A:

Q: Find the most general antiderivative. [√t-√ dt

A: Recall the formula:∫tn=tn+1n+1+C

Q: [x xe da = 1 2x²e² +0 C

A: Given integral ∫xexdx

Q: Assume that sin(x) equals its Maclaurin series for all z. Use the Maclaurin series for sin (32²) to…

A: Here given that,  Sin(x) is a maclaurin series. And using these for Sin(3x2), we have to find out…

Q: [5] Complete a first derivative test for the function shown below. Include local minima and maxima.…

A: The given function is:f(x)=(1-x)2x2-12