If the demand function for math self-help videos is given by 650.7x, and the total cost function to manufacture the videos is given by 7x + 46, evaluate the marginal pro- function at x = 10. Marginal Profit= This means that if production and sales increase by one unit, then total profit will O decrease O increase by approximately dollars.

Q: a Ső 8 ea - e X a dx

A: ∫0aexa-e-xadx=∫0aexadx-∫0ae-xadx=ae-1-a1-1e=ea+-2e+1ea

Q: S 2 x (4-x²) 3/² хр

A:

Q: 1. (2xy-3x²) dx + (x² + 2y) dy = 0

A: Given 2xy-3x2dx+x2+2ydy=0

Q: 3. A certain bacterial culture grows at a rate proportional to the number of bacteria present. If…

A:

Q: K A person's metabolic rate tends to go up after eating a meal and then, after some time has passed,…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: e demand function for math self-help videos is given by 55 -0.2x, and the total cost function to…

A: Given query is to find the marginal profit at x = 20.

Q: Let f(x) = x3 - x2- 3х+1 Explain clearly the reason why f has a zero in [0,1]. Do not find the…

A:

Q: Write an equation for the function graphed below. -6-5-4-3-2 g(x)= 5 2 4 my 2 + ty -3 77 56 -5- 2234

A:

Q: The graphs of y = f(x) and y = g(x) are shown below. If g(x) = af (b(x − h)) + k determine he values…

A: The graphs of y=fx and y=gx has been shown above.Given that,  gx=afbx-h+k, we need to determine the…

Q: 5. Rewrite the expression as an algebraic expression in x X ~(-)). H=3 |x|≤3 (a) cos sin

A: Given:- cossin-1x3

Q: What is the derivative of 5/x3?

A:

Q: 618 x 99 6182

A: using simple multiplication

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. 2 = 4.4 - x³y²…

A: To find the equation of the tangent plane to the surface determined by x4y4+z-35=0at x=3, y=4.

Q: 6. y+y==xyiy==2 ©

A:

Q: af af Find and for the following function. дх ду f(x,y) = (5x-3y)7

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. = e-4/√n lim…

A: Given  an = e-4n.

Q: Problem 8. (a) [ eª sin (x) (b) / (20 √(x+3 (c) [* (In (x))² dx (x+3) ln (x) dx Calculate each of…

A: Since you have posted multiple questions, as per guidelines we are supposed to solve first question…

Q: Use the integration by parts to evaluate the following integral by assuming u = 6.³ x² dx (cos x + x…

A:

Q: 13. Find the point (x, y) on the curve y = x² + 1 that minimizes the distance to the fixed poi (4,…

A: Given curve:- y=x2+1 We know distance between points x1,y1,x2,y2d=x2-x12+y2-y12

Q: modeled by the following function. f(t)= 40t +100 220 -80t+860 60 a. 7 am if 0≤t≤3 if 3<t≤8 if…

A: Topic:- function

Q: Evaluate the integral. (Use C for the constant of integration.) [√ cos(6) sin³ (8) de

A:

Q: P(w)=2w^2 -w +4 /√w *Differentiate the function

A:

Q: Solve the DE dy/dx + (2/x)y = 6x³.

A: Given,            dydx+2xy=6x3To find : Solve the DE.

Q: Do the points (4, 3, −4), (4, 1, −1), and (4, 9, −13) lie on the same line?

A:

Q: Consider the function of two variables f(x, y) = ln(5x 6y) + e* cos(3y) (a) Compute the first-order…

A:

Q: ← Graph the following equation in a rectangular coordinate system. x=8 Use the graphing tool to…

A: Given query is to graph the line x = 8.

Q: Find the derivative of the following function. f(x) = − sinh 36x f'(x) =

A: Finding f'(x)

Q: =O 2. (6x+y²) dx + (2xy-3y²) dy

A: Given differential equation, (6x+y²)dx+(2xy-3y²)dy=0...(i) Comparing (i) with Mdx+Ndy=0 we get,…

Q: In you the mail, you receive a coupon for $5 off of a pair of jeans. When you arrive at the store,…

A:

Q: 4. Find the exact value (in exact form) of sin

A: cos(2x) = 1-2sin2(x)

Q: 2. Find dx/dy if y = √√√1+√x -4√√√√1+√T 4√√√1+√I

A: Given: So,      dydx=1+x'        =121+x1+x'        =121+x·12x        =14x1+x

Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

A: limx→ -142x

Q: Əf Əf Find and дх ду 2 f(x,y) = √x² + 3y2

A:

Q: Consider the curve defined by x² + xy + 2y² = 8 dy (a) Use the formula for implicit differentiation…

A:

Q: 6. y = 3x - st

A: Given :y=3x-15x3

Q: y = (2x5 + 7x)(2√x − 3)

A:

Q: Evaluate the derivative of the following function. f(x) = (5x)4x f'(x) = (Simplify your answer.)

A:

Q: Solve the DE (2xy+y)dx+(x^2-x)dy=0 hint: Variable Separable a.y=cx(x+1)^-3 b.y=cx(x+1)^-3…

A:

Q: Evaluate the following integrals a) S √1+x-√1-² dx (Hint: Maybe you need to rationalize the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Black pink held a concert in moa arena. the vip ticket sold 15$. Lower box ticket were sold for 10$.…

A: NOTE: Refresh your page if you can't see any equations. . x=number of VIP tickets (each sold for…

Q: Using the following graph of the function f, evaluate the limits (a) through (i). Q Ay Q (a) Select…

A: Topic: Limit and Continuity     The answer is given below:

Q: Determine the rate of change of the function g(x, y) = y² tan(x − 2y + 4) 2) in the direction of the…

A:

Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y =…

A:

Q: Find the intersection of the line / and the plane T. 1:ř=(4,-1,4)+t(5,-2,3) T: 2x+5y+z+2=0

A: Given line, r=(4i-j+4k)+t(5i-2j+3k)               (1)And plane ,2x+5y+z+2=0…

Q: (x - y - 1) dx - (4y + x) dy = 0 Give the: a. homogeneity b. degree c. reducible homogeneous…

A:

Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives

Q: Find the following limits. Show all work a) lim x-0 b) lim X-8 c) lim X18 √2x+1-√√x+1 X 2x³-3x+1…

A:

Q: f(x)=x^3(x+3) *differentiate the function

A:

Q: 9. S 3 4*+¹ +2* + 2x) dx

A: ∫134x+1+2xdx