Let f(x)=x√x+3. Answer the following questions. 1. Find the average slope of the function f on the interval [-3,0]. Average Slope: m = 2. Verify the Mean Value Theorem by finding a number cin (-3,0) such that f'(c) = m. Answer: c=

Q: A manufacturer has been selling 1000 television sets a week at $400 each. A market survey indicates…

A:

Q: Find the equation of the tangent line to the curve y = 5 sec(x) - 10 cos(x) at the point (7/3,5).…

A:

Q: The amount of charge passing through a surface, given by a function Q(t), is measured in coulombs C.…

A: Given:To Find: To amount of charge that passes through the surface after 10 seconds.

Q: Draw a graph of the signed area represented by the integral and compute it using geometry. '3 L₁₁x1…

A:

Q: Let u, v be unit vectors and c ∈ R be a scalar. Use the fact that Dvg(a, b) = ∇g(a, b) · v to show…

A:

Q: What values of a makes f(x)= x^2 + (a/x) have  a) a local maximum at x=2 b) a point of inflection…

A:

Q: Let f(x, y, z, w) = 7x³y¹00w5+ sin(w) + z cos(x - y). Find fxyyywxwzyxyxzw (0, 0, 0, 0).

A: f(x,y,z,w)=7x3 + sin(w) + z cos(x-y)

Q: Differentiate implicitly to find | dx y²-x²=22; (3,-7) ☐ dy . Then find the slope of the curve at…

A:

Q: Evaluate the integral: 1. √64 x² 14x² x = 64 tan(0) 64 sec (0) x = 8 sec (0) x = 8 sin(0) x = 64…

A:

Q: The formula D = 25e-0.2h can be used to find the number of milligrams D of a certain drug that is in…

A:

Q: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account…

A: The objective of this question is to find the value of Lucy's mutual fund account today, after three…

Q: ∞ 4 7(Inn)² Determine whether the alternating series (-1)+1. n=2 converges or diverges. Choose the…

A: Explain the alternate seies test:-

Q: Consider the following polynomial function. f(x)=x4−2x3−8x2+10x+15 Step 1 of 4 :   Factor the…

A: Consider the following polynomial function.f(x)=x4−2x3−8x2+10x+15 Factor the polynomial completely.

Q: A company's marginal cost function is C'(x) = 18 √x Total cost: $ Find the total cost of the first…

A:

Q: I ||

A: Given the picture of the trianglewe have to find the value of x

Q: (5) If f(x) = sin (22), which of the following is true? (A) There is a local minimum at z = 0 (B)…

A:

Q: Suppose you are given a triangle with Then a = degrees, and C = degrees. Enter your answers with two…

A:

Q: Kai is on an island 3 miles from the nearest point on a straight shoreline of the ocean, a town lies…

A: As per our guidelines we can solve one question only or first three sub parts only. If you need more…

Q: Graph the polynomial P(r) = r³+r²-5r +3 using calculus by showing the given steps: (a) Find the r-…

A:

Q: Consider the function f(x)= xe 5, 0≤x≤ 2. This function has an absolute minimum value equal to: 0…

A: We use the concept of maxima and minima to find the maximum and minimum values of the given…

Q: Evaluate the following integral in cylindrical coordinates. 379-x- 4 jjj 1 -3 0 01+x^+ 3√√9-x² 4 -dz…

A: The given integral is

Q: Evaluate the following integral in spherical coordinates. SSS (x² + y² +2²) 9/² dv; D is the unit…

A:

Q: Sketch the given region of integration R and evaluate the integral over R using polar coordinates.…

A:

Q: A baseball team plays in a stadium that holds 52,000 spectators. With ticket prices at $10, the…

A: First of all, let's describe attendance x in terms of the ticket price P.  Find the linear function…

Q: Find the volume generated by rotating the region bounded by y = 2 cos(x) and the x-axis and ㅠ 3π…

A:

Q: Find the limits of integration ly, uy, Ix, ux, lz, uz (some of which will involve variables x, y, z)…

A:

Q: Find the dimensions of a rectangle with perimeter 76 m whose area is as large as possible. Part 1 of…

A:

Q: 14. Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method,…

A: Note: As per our guidelines, we can solve first one as your parts are not small. Please repost the…

Q: 2 Express (-i)² i 3 3 in 2 simplest a + bi form.

A:

Q: b g(b) Use the Substitution Formula, f(g(x)).g'(x) dx = [f(g(x)) +g'(x) dx = [ g(a) a 1 -1/²/313…

A:

Q: A 6 ft tall fence runs parallel to the wall of a house at a distance of 10ft. Find the length of the…

A:

Q: Solve the following inequality. Write the answer in interval notation. 9x - 4 x + 2 ≤-5x

A:

Q: i would like to know how to calculate this without a calculator or big numbers

A:

Q: (1) ヤ -21

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

Q: An elliptic cone in R^3 is described by the equation c^2 = (a + 2)^2 + b^2/9 . a. Find an equation…

A:

Q: Let {n} and {n} be sequences such that n→ L and yn → M. Prove (using the definition of convergence)…

A:

Q: for 4. Sketch the graph of the function on the given interval. h. Calculate Ax and the grid points…

A:

Q: Answer: A solution to the auxiliary equation of the differential equation (2D^3+D^2-8D-4)y-0…

A:

Q: The distance from the ground, in meters, of a person riding on a Ferris wheel after t seconds can be…

A:

Q: Use spherical coordinates to evaluate the triple integral e-(z²+z²+z²) EV x² + y² + where E is the…

A:

Q: Determine the general solution. y"-3y'+2y=2x2+1

A: given differential equation

Q: Can you explain how you calculated the partial derivative with respect to s?

A: The total derivative of function  of two variable  is,

Q: x3 - Graph the polynomial P(x) = x³ + x² = 5x + 3 using calculus by showing the given steps: (d)…

A: Given the polynomial  Then we have to graph the polynomial by using the steps given in (d) and (e).

Q: Ex: f(x) = √22²³3 study f(x) DOMAIN? LIMITS? ASYMPTOTES?

A: The given function is

Q: ∞ Does the series Σ n=1 11 11 n 2 - n converge or diverge? Choose the correct answer below and, if…

A:

Q: standard y = mx + b form, the tangent line to the parametric curve( 1/(t^2 +1) , 1/t) at the

A:

Q: A stone was dropped off a cliff and hit the ground with a speed of 152 ft/s. What is the height of…

A: A stone was dropped off a cliff and hit the ground at a speed of 152 ft/s.

Q: find limit using L'Hopital Rule a. lim x arrow indinity ln(x+1) / log2x b. lim x arrow 1 (x/x-1 -…

A:

Q: Please assist with the step in solving the problem below.  A company manufactures travel clocks.…

A: A company manufactures travel clocks. The daily marginal cost function associated with producing…

Q: Graph the polynomial P(x) = ³ + ²-5r+3 using calculus by showing the given steps: (a) Find the 2-…

A: Note: As per our guidelines we are supposed to answer only 3 sub parts if there are multiple sub…