increasing two hours later? mi/h

Q: Q14 Find the equation of the tangent line to the curve f(x) = 2x²(x − 3) at x = 1.

A:

Q: Find the area of the surface obtained by rotating the curve y = √2x from x = 0 to x = 7 about the…

A:

Q: Does the series convergence or diverge 7 n²+5n+6 ∞

A: We have given a series  Let, y=∑n=0∞7n2+5n+6 Using factor form n2+5n+6=n2+2n+3n+6=nn+2+3n+2…

Q: 1. Find the surface area of the portion of the paraboloid z = x² + y² below the plane z = 1.

A:

Q: Two particles start at the origin on the s-axis at time t = 0 s and move along the s- axis. Their…

A:

Q: Hello, how did you find 0 and -1 to be the values of r and t? Also where do you plug the numbers…

A: Determine the X intercept of the plane [x, y, z]= [3, 1, 3]+ r[1, 1, -1]+ t[0, 1, 3]

Q: Find the area of the surface obtained by rotating the curvey = 4x³ from x = 0 to x = 1 about the…

A:

Q: f- 3 2 (x"+x"-x-1)dx x+1

A:

Q: Evaluate dw dt OA. -9 OB. 5 O C. 11 O D. 7 at t= 1 for the function w(x,y) = x² - y² + 9x; x = cos…

A: Given: w(x,y)=x2-y2+9xx=costy=sint   We are required to find dwdt at t=π2

Q: Find the absolute maximum and absolute minimum values of the function on each of the indicated…

A: The given function is:f(x)=x3-12x2-27x+3

Q: TOPIC 4-5: L'Hôpital's Rule x²-25 x+∞5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule as…

A: L’hospital rule  limx— a f(x)/g(x)   = limx— a f’(x)/g’(x)   now find limit

Q: Let a = 7i+j and b - 67 - 7j. Find a - b .

A:

Q: Find the exact area of the surface obtained by rotating the curre around the x - as is 1 16-x1 g= +…

A: Given that , y=6-x , 4≤x≤6 find the area of the surface obtained by rotating the curve around the…

Q: +31x gives the cost, in thousands of dollars, to produce x thousand items. C(x) = 0.01x³ -0.9x² +…

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…

Q: O ich of the following is a vector equation for the line through (-1,2,-2) and parallel

A: We have to find the vector equation for the line through (-1,2,-2)and parallel to…

Q: Find the length of the arc of the curve y = 2 34 3 (4 x − 1)2 from x = 0 to x = 6

A:

Q: 3. Evaluate the limit by making a table. Then sketch the graph from your calculator. sin x lim x-0 x…

A: To find:- limx→0sinxx

Q: h(x)=5.5x-3.42

A: We have given a polynomial  hx=5.5x-3.42 Leading term =5.5x

Q: Consider the center of mass of the following. A lamina occupies the part of the disk x² + y² ≤ 9 in…

A:

Q: Find the derivative of the function at the given point in the direction of A. f(x,y) = -6x-9y,…

A:

Q: The masses m; are located at the points P₁. Find the moments Mr and My and center of mass of the…

A:

Q: Question 5. The rate of change in revenue from a recently-installed machine is 60,000t + 45,000…

A: The rate of change in revenue from a recently-installed machine is  60,000t+45,000 dollars per year…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + 5x,…

A:

Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² -4 = 0. The extrema are…

A:

Q: The postal service will accept a box for domestic shipment only if the sum of its length and girth…

A:

Q: Given (y)-16-²-², use the total differential to approximate or at (4.1) towards (24,1.05). Round…

A: △x=2.4-4=-1.6△y=1.05-1=0.05

Q: (a) Find the derivative of r(t) = (4 + t)i + tej + sin(5t) k. (b) Find the unit tangent vector at…

A:

Q: Find the vectors T, N, and B at the given point. T = N = B = r(t) = T - 16 -

A: I have done solution step by step in detail...go through the solution

Q: K 400 (p+8) For the demand function q = D(p) = - a) Find the equation for elasticity. E(p) = find…

A:

Q: 52 16 59 12 20. If an = 4(3)″−¹, what is S3?

A: Given: an=43n-1

Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

A: Note: There are multiple sub-questions. No specific question has been asked. So, We will solve the…

Q: 3. Find a, b and c if (x + y + az)i + (bx + 2y − z)j + (−x + cy + 2z)k is irrotational.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: We can represent planes using either vector equations or scalar equations. Which form do you think…

A: We have to answer which form of plane is better Either vector or scalar

Q: π 6x Find the linearization L(x,y) of the function f(x,y) = eº cos (7y) at the points (0,0) and 0,-…

A:

Q: Find the area of the curve: y = 9-x² and the x-axis

A: We are authorized to answer one question at a time, so we are answering the first one. Please repost…

Q: J xlnxdx X X

A:

Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: Given differential equation:- x2+y28dy=7xdx+ydy

Q: A simplex matrix is given. 1 10 X = 01 y = 4 5 7 12 12 0 9 0 14 00 The solution is complete, so…

A: We have to find the maximum value of f and values of x,y.

Q: The range of a cosecant function is (-∞, -9][5,00). The equations of two consecutive asymptotes of…

A:

Q: 2. Let y = 3x23 a) Find the change in y, Ay when x = 5 and Ax = 0.02. b) Find the differential dy…

A: Given function y = 3x2

Q: 136 SSSS 0 0 20 Evaluate the integral 5 cos (x²) 6√/Z -dx dy dz by changing the order of integration…

A:

Q: a) Suppose that lim n-00 ∞ The series Enan n=1 an+1 an 1 == 2 converges ✓ by the ratio test <

A:

Q: Q15 Find all non-zero derivatives of the following function: f(x) = 5x³ - 7x² + 9x - 1

A: Here we differentiate f(x) with respect to x until it becomes a constant

Q: avaries directly as the square of band inversely as the square of c. If a = 89 when b = 6 and c = 6,…

A:

Q: [5-A] [CLO 12] The line ℓ passes through the points (−3, −4) and (5, 1). Give an equation for the…

A: Given: The line l passes through the points -3,-4 and 5, 1. The objective is to find the equation…

Q: Ten and one-half foot-pounds of work is required to compress a spring 2 inches from its natural…

A:

Q: Find the surface area of revolution about the 3 y-axis of y = 10x over the interval 4 0 < x < Enter…

A:

Q: (x+1 Q. #7 For the function g(x) = 3 if x 2 constant "b" that makes g(x) continuous at x=2 Final…

A: g(x) is continuous    here we find value of b by using condition of continuous function

Q: A solid is contructed so that one side is the region between the lines x = a, x = b, the graph of y…

A: The given data is:   y=fxx=ax=b

Q: For each cost function (given in dollars), find the cost, average cost, and marginal cost at a…

A: Given : a. at q = 1000 Average cost = 128000/1000 = 128 dollars / unit   Marginal cost for q=1000