1. Is a function f(x)=√x differentiable at a) X = 1 b) X = 0 c) X = -1

Q: Given cost and price (demand) functions C(q) = 140q+47,300 and p(q) = -2.6q+800, what price should…

A: We need to find  revenue.

Q: 32/5 y=x² 32 Find the area of the region bounded by the graphs of y = x² and y = 4x. 64/3 32/3 64

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: Solve the system of differential equations. x₁' = 3x1 - 1x₂ ¸x₂' = 1x₁ + 5x2 x₁ (0) = - 11, x₂(0) =…

A: This is a problem related to solving system of linear differential equation. Based on the general…

Q: If a force of 5lb produces a stretch of one-tenth the natural length L ft of a spring, how much work…

A:

Q: Determine el valor de a € tal que: 8 et 12x = f -dx = e 2x a +1

A:

Q: 6. Evaluate the expression sin cos (77)) 11 tan sin (sin-¹ (²-3)) 13,

A:

Q: To shear a cube-shaped object, forces of equal magnitude and opposite directions might be applied: O…

A: Since, it is given that forces are of equal magnitude but opposite directions and we have to shear a…

Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

Q: The average value of f(x, y) over the rectangle R = {(x, y) | a ≤ x ≤ b, c ≤ y ≤d} is 1 fave = (b −…

A: The average value of a function f(x,y)  over  R={(x,y): a≤x≤b,  c≤y≤d}is given by1(b-a)(d-c) ∬R…

Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Solve each of the following problems completely. Draw the complete figures for each question. 2.…

A:

Q: A right circular cone has a constant height of 10 m. Find the rate of change of its volume with…

A:

Q: Physical Applications of First-Order Differential Equations A body at a temperature of 50° F is…

A:

Q: Use the graph of the function y=f(x) below to answer the questions. y 5- # 3- 2+ 1- -5 -4 -3 -2 -1 4…

A: The given graph is:

Q: Two cars started at the same point but at different times (of the same day) and at different speeds.…

A: Car A left at 9am travel to west direction at speed 30kph,  Therefore at 2pm car A travel total…

Q: [x³√₁-x² x2

A:

Q: 7) Find the absolute maximum and absolute minimum values of f(x, y) = 4x+6y - x² - y² on the set of…

A:

Q: Find the general equation of the circle of curvature of the parametric equation t+1 X ; y = ±…

A:

Q: 3√3 dx √3 x² √√x²+9

A:

Q: Use the Root Test to determine whether the series convergent or divergent. ∞ n² + 1 n 4n² + 5. n = 1…

A:

Q: Find Vf at the given point. f(x,y,z) = x³ +y³ - 2z² + z lnx, (1,4,5) Vf|(1,4,5) = 7i+(-24)j + (75)k…

A: Finding the gradient of f at the given point.

Q: The functions f, g, and h are defined as follows. f(x) = −3+√x+19 g(x)=−3 |x-8| Find f(-3), g(6),…

A: Topic:- function

Q: y' = X 2 h

A:

Q: For each of the following equations, determine whether y = 8x Function Not a function y = 2x + 5…

A:

Q: Evaluate the definite integral. (7x² - 6x +9) dx 0

A:

Q: Solve the initial value problem 2y" + y' - 10y = 0 y(0) = 0 y'(0) = 1

A: We have to solve the initial value problem.

Q: Set up, but do not evaluate, the integral for the surface area of the solid obtained by 3x rotating…

A:

Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: 2. F(s): = 1 (S-2)(s-4) (s-8)

A:

Q: Find the center of mass of a thin plate of constant density & covering the given region. The region…

A: Let's find center of mass.

Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,00) f-1(x): =

A: The solution is given in the next step.

Q: Sketch the region of integration of the given integral Q in No. 1. Set up Q by reversing its order…

A: We need to set up integral.

Q: rcosh z Let F(x)= 1. Find F(0). 2. Find F'(x). √√√x+1 sin(1 t) dt.

A:

Q: 10. f(x) = x³ + 1

A: Here, the given function is: f(x)=x3+1 Here, the y-intercept is (0,1) and no x-intercept is (-1,0)…

Q: An art supply store sells jars of enamel paint, the demand for which is given by p=-0.01a²-0.2z+8…

A:

Q: II. Evaluate each of the following limits. -√3-x 4) lim x-2 2 4-x 5) limSin (²) 6) lim(4x + 1)² x-0

A:

Q: -1 √₂² (3+2u) du -2

A:

Q: Let R be the region bounded by the graphs of y = r-1, y = 1-2³ and the lines y = 3 and r= -1 as…

A: We will divide area in two part to set up integral and perimeter in three part .  For solid of…

Q: Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5.…

A: In given problem since function f (x) = 5x+2 is defined only on [-1,5) i.e. 5 is not in the domain…

Q: If f(x)=√x² - 1, then 0 is one of the critical numbers of f. Select one: True False

A:

Q: A forest has a population of lynx and a population of rabbits. Let x represent the number of lynx…

A: Let's solve given diffrential equation.

Q: 12. Find the integral of S (x². √(x² + ² =) dx

A:

Q: -3√3 dx √3 x² √√x²+9 2

A:

Q: Use the Rational Zeros Theorem to find all the zeros of P(x) = 2x4 + 5x³ − 3x² − 15x – 9.

A: We have to find out the zeros

Q: 2 3/2 √₁² (4- x²) ³/² dx

A:

Q: 9) Find the equation of the tangent to the curve y = 1+ Int and x=t+Int when t = 2.

A: Given problem:- Find the equation of the tangent to the curve y = 1 + lnt and x=t+Int when t = 2 .

Q: 3x Evaluate x² +¹+e³ª)dx.

A:

Q: 4. Determine whether the following statements are True or False? y = f(x) (a) _lim_ f(x) = 1 (b) lim…

A:

Q: Practice Problem Instruction: Find the coordinates of the midpoint of a segment with the given…

A: This is a problem related to midpoint of the line segment. based on the general formula and concept…

Q: A plane that passes through the points A(2,1,1) B(-1,-1,10) C(1.3.-4). Find a vector perpendicular…

A: