Use the nth term test to show that the series is divergent, or state that the test is inconclusive n i. En-0 3n-6

Q: Find the local maxima, local minima, and saddle points of the function, f(x,y) = x³ + 3xy + y³

A: Topic = Functions

Q: M 10. Integrate f x² ln x dx Oxln x³ + +C Onx-x³ + C Onx²-x³ + C Onx-x³ + C

A: Integrate ∫x2lnxdx=?

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 2x-x² the polor…

A:

Q: Consider the function f(t)=sec^2(t)-3t^3. Let F(t) be the anti derivative of f(t) with F(0)=0. Then…

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Q: Find y'. x³y² = x² + y²

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Q: What is the exact value of cse?

A: Given.

Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: This question is based on Conic sections.

Q: 1. A circle is drawn with its center at (8,0) and with radius r such that the circle cuts the…

A: According to question,Center : 8,0Radius : requation of ellipse : x2 + 4y2 = 16

Q: 11 Given the triangle find the measure of angle A using the Law of Cosines. Picture is not " 21…

A: As per Bartleby guidelines rule I am answering only question number 9 as both question are different…

Q: Given the following functions, evaluate each of the following: f(x) = x² + 7x + 10 g(x) = x + 2 (ƒ +…

A: Put value in function

Q: e-In a For sketching the function y = 42 determine the following " x-intercept y-intercept vertical…

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Q: Use the given information to find the unknown value. y varies directly as the cube of x. When a = 2,…

A: Given that :- y varies directely as the cube of x. When x=2 then y=5  Find :- y when x=3.

Q: If f(x) = 5x6 - 2x² then [f(x)dx=

A: The given function is: f(x)=5x6-2x4

Q: B) using polar coordinates. Find the value of the binary integral: e--y²) dA. ** Good Luck **

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the differential equation. dy = 3x²y² dx -1 3 x + c +c for y # 0

A: We have to solve the differential equation

Q: What value(s) of 6 are an appropriate choice when proving the following limit? lim (x² + 5x) = −4…

A:

Q: Write an equation of the line that passes through (-5,1) and is parallel to the line defined by…

A: The line passes through -5,1 and parallel to the line defined by 5x+y=2

Q: can you please solve the other

A:

Q: Find the area of the sector of a circle with diameter 36 feet and an angle of 7π/4 radians.…

A: Here we have to find the area of a sector.

Q: For what value of Ⓒ is cotⒸ undefined? 1.0⁰ II. 180° III. 270⁰ Olonly OI and III only OI and II only…

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: 1. f4x-³ dx -3

A: Find the integral

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: See the answer below

Q: late the followin integrals: a) ²² - i)² dx z³+4 b) § 22 +4 dz when the contour C is the circle |z -…

A: We use here Residue theorem to find the complex integral

Q: Find the volume of the figure. Round to the arest tenth if necessary 12 in 13 in.

A: Given query is to find the volume of the figure.

Q: For j(x)=3*-¹, find j(x+h)-j(x) h 3x-1(3h) h 3x-1(3-1) h 3x-1(3+1) h ○(x-1)(3+1) h

A: Topic = Functions

Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1 Y2 Y3 and Y4 of the…

A: Given :y'=y-5xy(3)=0

Q: Question 12 Which of the following sections cannot be obtained from a cone? Select one: O A.…

A: if we cut the cone horizontally we get circle

Q: Prove the identities Then use them to show that a. sinh 2x = 2 sinh x cosh x. b. cosh 2x = cosh²x +…

A: Here we have to use the given identities to prove.

Q: Find the area of the sector of a circle with diameter 32 feet and an angle of Round your answer to…

A: Given Diameter =32 feet Therefore radius (r)=32/2=16 feet, angle made by arc to center of circle is…

Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim- 2n+1 2.…

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Q: Q1) Find the average value of the area Ander the curve (y=1-x²). Q2) Solve the D.E.: cos x + sec¹x -…

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

Q: What is the domain for the exponential function f(x) = -5log(x-2)? OD: (xe R) OD: (xe R|x>-2) OD:…

A: Here we have to find the domain of the given function.

Q: 24 १. शुक dx +3

A: The given integral is: I=∫x4x5+33dx    ...1 As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: Find dy if y=t² & t = √h and h = x² dx

A: Given :y=t2t=hh=x2

Q: -xx2 a) Find lim, + f(x), lim, 2-f(x) and/ (2). b) Dose lim, 2 f(x) exist, if so, what is it? If…

A: We need to find limit.

Q: f(x) = f ¹n (x X dx a = 2, b=4

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 2x (x-a)² dx; a is constant

A:

Q: An employee at a garden center fills a water tank once a day around noon to a height of 20 inches.…

A: Given: M(x)=5x3           T(x) =5x-103   where x in seconds

Q: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

A:

Q: Consider the following differential equation. t In(t)- dr + r = 4te² dt dr Find the coefficient…

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Q: Let_y=x² +5x³-4x+1 then dy- ||

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Q: Question 2 Let F(x, y, z) = -2y + 2x J. Use Stokes Theorem to find +√7. -d7, where C is a circle…

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Q: 54. The area bounded by the curve x³ = y, the line y = 8 and the y-axis is to be revolved about the…

A: Given question:- The are abounded by the curve x3=y, the line y=8 and the y-axis is to be revolved…

Q: Kirsten plans to dig a rectangular-shaped area in her yard for a garden.  She wants the garden to be…

A: Disclamier: Since you  have asked multiple question ,we will solve the first  question  for you.  if…

Q: Q6/(A)Evalute ex² dxdy.

A: See the answer below

Q: Find the local maxima, local minima, and saddle points of the function, f(x, y) = x³ + 3xy + y³

A: Topic = Functions

Q: and the local maxima, local minima, and saddle points of the function, f(x, y) = x³ + 3xy + y³

A: Topic = Derivative

Q: Use basic identities to simplify sin³ x + cos² x sin c. Enclose arguments of functions in…

A:

Q: 6. A cylindrical can has a diameter of 16 inches and a height of 20 inches. What is the surface area…

A: