iven Cost and Revenue functions C(q) = q° - 10q“ +51q + 5000 and R(q) = - 3q“ + 2600q, what quantity minimizes marginal cost? would be items. Round to nearest whole number)

Q: A- Find the distance between the line (y =x+3) and center of circle (x+y-2x-0). B- Using Cramer's ru...

A:

Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

A:

Q: is differentiable at r 2. 2. (a) Using the definition of derivative, compute for the slope of the li...

A:

Q: f(t) = 2cosh23t Find the Laplace transform

A:

Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: Section 3.7 p. 343/345 # 364 Determine whether the improper integrals converge or diverge. If possib...

A:

Q: The position of a car traveling along a highway is given by the function s(t) = 21* - 61-612 + 3 whe...

A:

Q: The radius of a sphere is increasing at a rate of 4.9 mm / s. How fast is the volume increasing when...

A: Volume of the sphere , V = 43πr3 ; where, 'r' is the radius of the sphere.

Q: Use the Laplace transform to solve the given initial-value problem. dy -y = 1, y(0) = 0 dt y(t) = %3...

A:

Q: The given integral is Te-x³(-3x²)dx. Let -x. Now differentiate u with respect to x. That gives U = d...

A:

Q: dy + 4y = 8 dy d. x- dx = (x – y)² %3D a. dr dy e. da dy + 4y = x? %3D b. = V1+x2 %3D dx dy dy c. dr...

A: This can be solved as follows:

Q: KIDAPAWAN CITY CA sin a = 1 to obtain the limit of the following: II. Apply lim a-0 a sin5x 1. lim x...

A:

Q: 4. y = 2xi+x“

A:

Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

A:

Q: A particle moves along the x-axis so that at time t 0 its position is given by a(t)= t° – t² - 5t. D...

A:

Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

A:

Q: Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y)...

A:

Q: f(x) = x^3 -1000x +2022 How many local minima does this function have? are inflection points of thi...

A: Given function f(x)=x3-1000x+2022

Q: - graph and fined Demain and Range For ye sinx-3

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: To evaluate the integral 1 dx x2 – 16 2х — we use the partial fraction decomposition of the integran...

A: Explained below

Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: 2. Use the sum and difference formulas to evaluate the following. 5TT COS 12 sin (-) 7Tt а. b. 12

A:

Q: 1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

A:

Q: Consider the following. 18/1 + e−x = 2 (a) Find the exact solution of the exponential equation in ...

A: The given equation,   181+e-x=2

Q: tf(r.,2) 4ry t and u is the unit vector in the direction of (4, 2,-5), tmen the drectional denvative...

A:

Q: An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment ...

A: Given problem:- An annular cylinder has an inside radius of r, and an outside radius of r₂ (see figu...

Q: sinh (5) = %3D (A) 5+ v26 (B) In(5 + v24) (C) In(5 + v26) (D) 은 (E) 5

A: We can find the correct option from the answer as below.

Q: 6. S Ve3x + e4x dx

A: 6.∫e3x+e4x3 dx∫e3x+e4x13dx

Q: 6) pind ful indefinite integrel. 4 sec (2x) de

A: ∫sec4(8x)dx ∫ sec2(8x)(1+tan2(8x) )dx ∫sec2(8x) + sec2(8x)tan2(8x) dx now assume that tan8x = u du...

Q: for the indicated integral, what would the first step be? sin't dt, Vcost Save a sine and convert th...

A:

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (2) — 5а — 4 %3D | 2. f (...

A: Recall: Derivative using Four step Rule:step 1 : Write f(x+h) and f(x).step 2 : Compute f(x+h)-f(x) ...

Q: Minimize Q= 2x +3y2, where x + y = 5. ... y% = (Simplify your answer. Type an exact answer, using ra...

A:

Q: e. Find the area under the curve y = vx + 8 from x = -8 to x = 4. Give exact answer.

A:

Q: Exercises: Differentiate each function with respect to x. 1. y = (x³ + 3)5 2. y = (-3x5 + 1)3 3. y =...

A:

Q: Give the Maclaurin series expansion of f(x) = ln(3 – 2x). Determine its interval of convergence. App...

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A:  

Q: How do you find the derivative of function y=x^2-2radicalx/x

A:

Q: Find the centroid of the region shown in the figure. 1 1

A:

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

A:

Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

A:

Q: Calculate the amount of money​ you'll have at the end of the indicated time period. You invest ​$400...

A: Given query is to find the amount after 8 years.

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2,...

A: We have to calculate volume of solid formed when the graph of the region bounded by  y=ex , x=0 ,x=2...

Q: Find the total differential. z = e-X tan(y)

A:

Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: log. ) 1) The conversion between exponential form and logarithmic form: Logarithmic form Exponential...

A: logarithmic problem

Q: (a) Graph the function f(x) = 1/x (b) Hence, using translations, reflections etc., graph 1 f(x) = -1...

A: We have to draw the graph of the given functions according to the given information 

Q: I ind the second derivative(y") of the following functions and simplify the final results. 1. y = x3...

A: Given y=tan-12+x1-2x To find y'':

Q: Find the remainder if F(x)=6x^3+49x^2+90x+56 is divided by 3x-3

A: F(x)=6x3+49x2+90x+56 Since 3x-3 is linearwhere 3x-3=0⇒3x=3⇒x=1 Remainder of F(x) when divided by 3x-...