Is the given function f (x, y, z) = xª – 6xy? + 723 continuous at the origin? Yes No

Q: of cos 2 2 sin 0) de has the form 1 -F 4 sin lue of 0 to make F(0) =0?

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Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

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Q: Write the standard form of the quadratic function that has the indicated vertex and whose graph pass...

A: We will use the concept of standard form of parabola as a quadratic function to solve this problem.

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: dy Find dx y=4(sec x + tan x)( sec x- tan x).

A: Here, the given function is: y=4(sec x+tan x)(sec x-tan x)  =4(sec2x-tan2x)  =4(1)             (beca...

Q: Given polar curve r = −6 sin(θ) do the following. (a) Find the Cartesian equation for this curve. (b...

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Q: (a) Use any method to estimate the slope of the tangent to the graph of the given function at the po...

A: Follow the procedure given below.

Q: A covered box is to be made from a rectangular sheet of cardboard measuring 35 inches by 56 inches. ...

A: Solution: According to the question the diagram will be

Q: sinx Cosx - e sinx +x The integral -dr may be written as mensinx + px + ge* + C. where m, n, p, q, r...

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Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F (1) – F (– 1)?

A: We have,

Q: t 9dz 9dz The infinity in the can be eliminated by lim (1– 3z)4 (1- 3z)4

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Q: dA Evaluate the integral where Ris the region: {(x,y)|0 <x < 1,-3 <y< 3} R

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Q: A curve has an equation of y = x3 - 6x2 + 9x + 2. Find the point of inflection of the curve. а. (2, ...

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Q: The region bounded by y = x² + x – 2 and y = 0 is rotated about the x-axis. Find the volume of the r...

A: Given query is to find volume of the solid generated.

Q: Find the indicated derivatives, using the following information: g(3) = 10 g'(3) = – 3 f(3) = 4 %3D ...

A: Given: So,        fg'(3)=f'(3)g(3)+f(3)g'(3)          =(-1)(10)+(4)(-3)          =-10-12          =...

Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

A: In

Q: Match the equation with its graph. y = x- x 2.5 15 0.5

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Q: 4) The position function of a particle is given by F(t) = (t², 5t, tť² – 2t). When is the speed a mi...

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Q: Find the area of the region bounded by the curve y2–4r and the lines x = 1 and x = 4. 24 square unit...

A: area of the region can be obtained by definite integral of the function within given limits. here we...

Q: Find the interest rate needed for an investment of $4000 to quadruple in 12 years if interest is com...

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Q: 1+2n 4) De termine whether the serics Converges 37 diverges. If it converges, find its Sum. A) 2 c) ...

A: Given:     ∑n=1∞ 1+2n3n

Q: et f(x) = 3x 1, 6). 3x? + 6. Find the equation of the line tangent to the graph of y = f(x) at the p...

A: Given query is to find the equation of the tangent.

Q: bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the ...

A: Given query is to find population of bacteria after indicated time  

Q: b ""P+C. What is the value of the sum a m The general antiderivative of (3x2- 4)2x2 can be written a...

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Q: 1 Find the area of the region bounded by the curve y=1--x² and the x-axis. А 8 square units 6 square...

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Q: Evaluate the flux integral F.S where S is the surface given by 22 = 1 + y, 0s z 5 4, oriented upward...

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Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-'x+1) -1 + - 6 -1 + - + -15 -is -İS

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Q: dx 1. S- x Vx2 -9

A: According to the guidelines in case of multiple questions, We are only supposed to solve first quest...

Q: Evaluate the higher order derivatives. 1. Given the function f(y) = find the second derivative. (6+2...

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Q: dx Evaluate 3x-12 A 0. B 8.

A: Solution is here

Q: b --x"+ -x +C. n P a d The general antiderivative of (3x2 – 4) 2x² can be written as -x' m What is t...

A: Firstly we find integration

Q: d?y Find the equation of the curve for which dx2 - =6-9x and which passes through the points (0, -1)...

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Q: any method to determine if the series converges or diverges. Give reasons for your answer. 00 3 3 Σ ...

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Q: A house was valued at $105,000 in the year 1992. The value appreciated to $175,000 by the year 2006....

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Q: Use linear approximation, i.e. the tangent line, to approximate v25.4 as follows: Let f(x) = Vx. Fin...

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Q: Find the area of the region bounded by the curve ,2=4x and the lines x = 1 and x = 4. 63/2 square un...

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Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

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Q: If F(x) is an antiderivative of x² + x1, then what is the value of F(1) - F(-1)? (А) 3 В) о c) -1 D ...

A: We have to find derivative

Q: Solve the separable differential equation 1 x2 + 4 dx dt and find the particular solution satisfying...

A: The given differential equation is: dxdt=x2+14 x0=6 To find a particular solution.

Q: The resulting integral of sin-cos-sine de has the form --F(0)+C. What should be the value of e to ma...

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Q: 1) Compute each derivative, show all work. Submit your work as a pdf. a) sin (1+ e3a b) tan (3x? + 2...

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Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 In (n ...

A: We have to find if the given series converges or diverges.

Q: What is the additive inverse of the complex number 3-7?

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Q: The resulting integral of form --F(0) +C. de has the What should be the value of e to make F(@)=0?

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Q: sinx +x te The integral dx may be written as mensinx +px + qe" +C. where m, n. p, q, r, and C are co...

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Q: What is the integrable form of sin-cos-sino do?

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Q: ((2- sec?r) ! sec(3A – x) eIn (ale) secx dx to be integrable using the formula What should be the va...

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Q: d?y =6- 9x and which passes through the points (0, -1) dx2 Find the equation of the curve for which ...

A: Differential equations