Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 + 5y², 1 ≤ y ≤ 2

Q: Ay 15 12 9 Solve graphically by the intersection method. Give the solution in interval notation.…

A: The objective of this question is to find the point of intersection of the two given lines y₁ =7x+…

Q: 1. Write the polar equation foreach conic. Explain your choices. Ellipse Hyperbola Parabola

A: If you have any questions let me know in comment box thankyou.

Q: Find the equation of normal to the function f(x)=x3−3x+1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the given function at…

Q: i think this is incorrect can u try agian

A:

Q: Given vectors = (3, 4) and = (4,-4); find the angle between these vectors. O arccos √2 10 -7√2 O…

A: we are given two vectors and we need to find out the angle between them.

Q: Let C denote the following disconnected surface: C={(x, y, z) = R³ | x²+ y²=1Ux²+ y² = 4, −1<z<1}.…

A: To sketch the surface C, which is composed of two cylinders, one with radius 1 and the other with…

Q: If f(x) = 2. e*, find f'(1).

A: given function

Q: dw Use the chain rule to find dt w = In√√√√x² + y² + z² + z²), x = 7 sin(t), y = 4 cos(t), z = 3…

A: The objective of the question is to find the derivative of w with respect to t using the chain rule.…

Q: The cross section of a drainage is parabolic in shape. When the width of the water surface is 10…

A: The objective of the question is to find the width of the water when the maximum depth is 3 metres,…

Q: I am needing assistance with the equation(s) in the attached image, 3.11.

A: a. S(t) = -16t + 1302    v(t)  = -32t b. -48 ft/s c. -32 ft/s    -64 ft/s d. 9.021 s e. 41.021 ft/s…

Q: Use the graph to find the following limits. a. lim f(x) X-➡-1 b. lim f(x) x-1 a. Find lim f(x) or…

A: By using the graph to find the following.

Q: Find all local extrema using the second derivative test. 1. f(x)=x2-1n(x) 2. f(x)=x-2sin(x) 3 .…

A: Second Derivative Test Formula:If f′′(c)&gt;0, then f(x) has a local minimum at x=c.If  f′′(c)&lt;0,…

Q: A ball is thrown vertically upward from a height of 7 feet with an initial velocity of 70feet per…

A: Given values:ho = 7 ft.u = 70 ft./s Solution:We know, highest distance travelled from initial height…

Q: A ball is thrown into the air and its position is given by ℎ(t)=-6.7t^2+70t+11 where ℎ is the height…

A: Maximum height =6712987​ meters Time =67350​Explanation:Approach to solving the question: Detailed…

Q: 1 Use the fact that the derivative of the function g(x)=√x is g'(x) = - to find the equation of the…

A: Answer: y=x/16 +4=0.0625x+4Explanation:Step 1:

Q: Let's consider the marginal cost function C'(x) = -0.04x + 25, where x represents the level of…

A: a. $ 1.40 per item b.  Cost function:C(x)=−0.02x2+25x+4840 c. $ 12628Explanation:Step 1: Find the…

Q: 1. Verify the following trigonometric identities. (a) sin x tan x = secx- cos x sinx sinx - Cos X…

A:

Q: The line L₁ passes through the point P(-5, -3) and it is tangent to the graph of y = (x+3)27. The…

A:

Q: Explain fully for better understanding. See image attached. Thank you

A: The objective of this question is to find the time at which the maximum velocity of the target…

Q: Sketch the solid whose volume is given by the iterated integral. 1 (7-x- - 3y)dx dy 10 Describe your…

A: The given integral

Q: If f(x) = 2. e*, find f'(1).

A:

Q: Please see atrached. Thank you, and please circle your answer.

A: The objective of this question is to find the derivative of the function x^n, where n is a constant.

Q: brightspace.ccc.edu zm Rich LTI Z Launch Meeting - Zoom D2L Quizzes - Spring 2024 MATH 2...…

A: Step 1:To find the total cost of producing the first 30 items, we need to integrate the marginal…

Q: . Find all second partial derivatives of the function f(x,y) = ln(1 + r²y3), and show that the mixed…

A: The given function is . We have to find all partial derivatives

Q: f'(0) = Let f(x)=7e+2 + e¹.

A:

Q: A S S : In triangle ABC, m/A=30°, AB=4 and AC = 6. Find the length of BC.

A: If you have any problem let me know here in comment box for this thankyou.

Q: 1.

A: The final answer is:x=−2,y=−9,z=1Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Let be the vector with initial point (8, 1) and terminal point (6,5). Express as a linear…

A: The objective of this question is to express the vector v as a linear combination of the standard…

Q: I am needing assitance with the problem in the attached image, 3.6.

A: The derivative of the function y = 7x4 + 2sin(x) is: y′ = 28x3 + 2cos(x)Explanation:Step 1: Identify…

Q: For the function graphed below, estimate the point of greatest curvature -4-3-2 x =

A: Step 1: Step 2:We can visually inspect the graph to estimate the point of greatest curvature…

Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…

A: The objective of this question is to evaluate the double integral of the function (x² + y²) over a…

Q: Using triple integrals, set up the iterated integral that would determine the volume of the solid…

A:

Q: Precalc Question

A: The objective of this question is to analyze the function f(x) = (x^2 - x - 6) / (x^2 - 4) in terms…

Q: Find the equation of normal to the function f(x)=x3−3x+1�(�)=�3−3�+1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the function f(x) = x^3…

Q: (6) Find дл ду : ye+sin(2)=423 (8 points)

A: Explanation is given below:Explanation:

Q: Find the gradient of the tangent to S(t):(Sorry for the break for this just need to block the stupid…

A: The objective of the question is to find the gradient of the tangent to the function S(t) at the…

Q: Find the exact length of the polar curve described by: T=3e r = 3e-0 on the interval 56

A: The objective of this question is to find the exact length of the polar curve described by the…

Q: Find the critical points for the function f(x, y) = 40xy — 1.25(x + y) 4 and classify each as a…

A:

Q: Find the curvature of the function y = 3x5 at x= – 1. - Find the radius of curvature at x = -1.

A: Note: I rounded the final answers to 4 decimal places since there was no instruction as to how many…

Q: 9

A: volume=2π/5Explanation:

Q: Using the Lagrange multiplier method, find the values of x,y given the function f(x,y)=x^2+y^2 and…

A:

Q: A contour diagram for a function f(x, y) is shown below. 5 3 - 29- 27 -30 31 26 2 25 1 24 28 23 1 21…

A: The objective of this question is to identify the global maximum and minimum values of a function…

Q: Let f(x)=xe and f(")(x) be the nth derivative off with respect to x. If (10) (x)=(x+n) e*, what is…

A:

Q: Find the general solution for the differential equation = -5 dy dx x²-9

A: The given differential equation

Q: Find the Taylor polynomial of degree n = 4 approximating the function f(x) = 5ln(x²) for x near 1.…

A:

Q: I need help with a step-by-step breakdown in laymens terms for the attached math problem.

A: Step by step analysis has been given below.  In canse of any doubts please do let me know…

Q: Solve both

A: 1.y=(6−5x)e3x−3 2. The particular solution is  y=53​cos2t+51​sin2tExplanation:Step 1: Step 2: Step…

Q: Find the critical numbers of the function f(x)=-12x^5+15x^4+80x^3-3 and classify them. Round your…

A: The critical numbers of the function are,x=2.562,−1.562,0,0Hence x=0 is the point of inflection; it…

Q: Please see image thanks!

A: The objective of the question is to find the derivative of the function f(x) = e^x at the point x =…

Q: 7

A: The value of m = 2 so that the given matrix C is not invertible.Explanation: