d- Find the local maxima point and Saddle point for f(x, y) = x³ + 3xy + y³ Find the dy nt (11) for the following differentiable functie P

Q: t² +3t t--3t²-t-12 b. lim (-3)²-9 u-0 น (x+h)³-x³ C. lim h→0 h a. lim

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: egrals: 12+5-6 2.J xinxd

A:

Q: Find the rate of change of the volume of a cone with a constant height of 5 m with respect to radius…

A:

Q: Which x-value is most useful in approximating log₁0 88? 0 90 O 100 O 10 02

A: Here, to approximate: log1088

Q: What's More Solve the following problems on a separate sheet of paper showing the 8 steps. 1. A…

A:

Q: 17. The equation A = 400(3)* models the growth of bacteria over time. Let A = the amount of bacteria…

A:

Q: Sy² sin(3y³ + 4) dy

A:

Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: 23. fx² sin 2x dx is a. b. x² cos 2x -x sin 2x-cos 2x + C x² cos 2x -x sin 2x + cos2x + C -x² cos 2x…

A: Given problem:-  ∫x2 sin(2x) dx

Q: 3. (8x³ + 6x²5x +11) dx

A: integration

Q: What are the various applications of the dot product?

A:

Q: …... VOIN'I Select the correct choice below and fill in any answer boxes within your choice. O A.…

A:

Q: -3x₁ + x₂ + 3x3 = 0 -6x₁ + 3x₂ + 3x3 = 0 2x13x2 + 5x3 = 0 Write the solution set of the given…

A: The given system of equation,-3x1+x2+3x3=0-6x1+3x2+3x3=02x1-3x2+5x3=0

Q: In 8 thy ể dxdy.... ****** Ans: 2 e. *******

A:

Q: Find S ³+1 ln ||+C In In | +C √²+1 None of the Above In||+C

A: We know, ∫dx/x= ln|x| ln|a| - ln|b|= ln|a/b| n*ln|a|=ln|an|

Q: Calculate the discount on one bike if they decide to buy 10 bikes at the same time.   1.3.2…

A: This is basic algebra problem

Q: Integrate by substitution. 2 [x²(x³ +5) dx

A: Given query is to find the integral using substitution.

Q: his prism has a right triangle for a base. The volume of the prism is 54 cubic units.  Find the…

A:

Q: 1 1 √√x+2 dx. 貼 Evaluate O A. 39 O B. 38.0894 O C. 15.6291 O D. 6.5798

A: Since you have asked multiple questions so we will solve first question for you.

Q: Making a suitable change of variable and modifying accordingly the limits of integration, calculate…

A:

Q: show that (to) arg = = argz

A: We have to show that  arg z¯ = -arg z.        ...A     Let us first see what is z¯, z¯ is conjugate…

Q: Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O…

A: We use sandwich theorem to find limit

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y…

A:

Q: 1. A man 6ft tall is walking toward a building at the rate of 5ft/sec. If there is a light on the…

A: Concept: The similarity of triangles: Two triangles are said to be similar when they are of the same…

Q: In evaluating the definite integral ff (x) dx, where f (x) = sinx, the angle should be in:

A: Given the definite integral ∫abf(x)dx where f(x)= sinx To determine : The angle part of f(x) is in…

Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

Q: If there are three functions, such as f(x) = x, g(x) = 2x and h(x) = 3x. Then find the composition…

A: We know, [f∘(g∘h)] (x) =fghx

Q: Find the volume of: the area bounded by the curve y2 = 9x and the line x = 4 revolved about x = 4.

A:

Q: You create a container by rotating the curve y = 4 ln(x-6) for y=0 to y = 9 around the y-axis. You…

A:

Q: Water leaks from a vertical cylindrical tank through a small hole in its base at a rate proportional…

A:

Q: Water is flowing inside a right cylindrical vessel at the rate of 1275 cm³/s. The radius of the…

A: We know that the volume of a cylindrical vessel,  V = π·r2·h where r is the radius and h is the…

Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the area between the curves Y=2x-x² and y=-x.

A: We have to find the area between the curves.

Q: What is the rectangular equivalence to the parametric equations? z (0) = 4 cos 0+2, y (0)=2 sin 0-5,…

A:

Q: B. Find the volume of the indicated solid i) under 2x - 3y + z = 6 and above the rectangle R = =…

A: Let's find volume of solid(V).

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

A:

Q: At JCS Construction Plant, cement mixture is falling off a metal conveyor and onto an inverted…

A: Given query is to find the rate of change of height.

Q: Je* sin 2x dx cos xdx S (3-cos²x-3 sin x)

A:

Q: Find  dy/dt  using the given values. y = x3 − 2x for x = 4, dx/dt = 1. dy dt =

A: The objective is to find dy/dt.

Q: 13. Algebraically determine the values of that satisfy the equation 2 cos²0+ cos 0-1=0, where 0…

A: First I have let x=costheta And then reduce the trigonometrical equation into algebraic equation and…

Q: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

A:

Q: [sin(√5x+1)dx

A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: Which of the following integrals would yield the area of the region below? 2 x=y 3 1 0 x = 8y 00 8

A: A detailed solution is given below.

Q: Evaluate each indefinite integral. 2. (9x8+ 3x² - 4x) dx

A: To Find : ∫9x8+3x2-4xdx   Note : ∫xndx=xn+1n+1  + C

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: 1. The graph of y=sin z is transformed so that the transformed image has a period of 4m and a phase…

A: Given problem:- The graph of y = sin x is transformed so that the transformed image has a period of…

Q: 2. The NJHS is holding a fundraiser. They are selling lollipops for $2 each. Each lollipops $0.50,…

A: Topic:- algebra  Note :- as per our guideline if more than one question uploaded than only one…

Q: Given the function below, find the point of inflection: y=a* _ 2p2 OP() O P(-1,-1) OP() O None of…

A: Given problem:- Given the function below, find the point of inflection:   y = x4 - 2x2

Q: What function will you differentiate to get each function? 3. g(t) = -3t2 + 12t - 17

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Use the following information to answer the next question The angles below are the principal…

A: