Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

Q: Show that the set of all points P that are twice as far from (-1,5,3) as from (6,2, –2) is a sphere.…

A: The set of all points P that are  twice as far from -1, 5, 3 as from 6, 2, -2. Let coordinate of a…

Q: to this answer. Evaluate the left-hand limit of as f (x) = x8. 16-2x O 1/2 O -1/2 O undefined

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Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2-5x 3 find: f'(2)

A: Given: f(x)=4x+11 f(x)=2x2-5x-3

Q: Draw the graph of the following relations and/or functions. Make sure that all "important" points…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Consider z=e (*3+y2) Evaluate dx2 O (6r2+ 3x)e (*3+y2) (9x4+6x)e (x³+y²) (6x4+ 9x) e (x³+y²)

A: Topic = Derivative

Q: 5.Find all the first partial derivatives of each function f (x,y) =(2x– y)* а. 3/2 S(x, y)= (4x–…

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Q: Qel Find the limis hth G8h alie んう0 2lim 土 2x2_8

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Q: Water is pouring into a swimming pool. After t hours, there are t + sqrt(t) gallons in the pool. At…

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Q: Write the expression as a single logarithm. 4 log 27x-1 - log 2 + log 25 4 log 27x-1 - log 2 + log…

A: We have to simplify logarithm

Q: Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

A: To find the equation of sphere.

Q: Find the general solution of the following differential equation: y" + 4y" + 4y = 0. %3D

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Q: Find the volume of the solid formed by revolving the region enclosed by the closed curve 4x² + 9y² =…

A: As per given  We have to determine volume of solid

Q: n(A U B) = 55, n(AN B) = 15, and n(B) = 35 %3D Find the value of x A 15 y

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Q: Find the derivative of f(x)= (Inx Oa 6x(Inx Ob. 4 inx Oc 12(in a Od 24(inx

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Q: Evaluate +V7dx 3 Oa.5 +C 2 5 3. Ob.2 3 2 Oc 2 sm +- Ot ast Od +C 3 2 52~

A: Evaluate integral

Q: Which of the following is the general solution of the differential equation y" - 36 y=0 ? O…

A: y''-36y=0auxillary equation is given bym2-36=0(m+6)(m-6)=0m=-6,6m1=6 , m2=-6

Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: Is Rolle's theorem valid for the function f(x) = V1- a. Yes. It is valid in this range b. No. It is…

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Q: 1 dx x[9+(ln 3x)" 8.

A: use simple integration method.

Q: 4 r4-y Evaluate triple integral , S S dz dy dx -2

A: We have to evaluate the triple integral  ∫-22∫x24∫04-ydz dy dx.

Q: 10x ME 10. 4+ 25x'

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Q: x2 – 125 lim x→-5+ x2 + 4x – 5

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Q: A. Evaluate the limit of a function using the concept of Special Limits. 1. lim t→0 t t2-3t+5 + t2-1…

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Q: Find y' if 4 cos x cos y = 3y. %3D

A: To find the derivative.

Q: Please answer the question below: Explain in detail which test you are using to determine…

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Q: Descibe the level curves of the surface f(x.y)=x-4y. O a Hyperbolas Ob.Parabolas Oc Crdes Od Elipes

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Q: (x – y)dr + xdy = 0.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Q2) Convert the polar functionr= tan20 to cartesian.

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Q: 2-y QI) Evaluate the integral f dx dy using polar coordinate

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Q: 2x + 1 -dx (Зх -1) (г2 + 2х + 2) Evaluate: F (x) = 2 In (|3.x – 1|) – In (æ² + 2x + 2) - 4 arctan (x…

A: A detailed solution is given below

Q: Given the function: f(x,y) = 4x*y² – 10p +y , find f a. 16x'y-60xy O b. 48x°y O C. 16xy – 10y O d.…

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Q: J1 (3x -1)3 * tvt2 +1 dt

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Q: dy Given 4x -9y =1. Find by implicit differentiation. dx

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Q: Q3) Evaluate triple integral (x - y²)dz dy dx.

A: tripple integral  First we will integrate w.r.t z and then w.r.t. y and then w.r.t. x.

Q: Find the absolute extrema of the function f(x)=(x+1)*" in [-2,1], if there is any.

A: f(x)=x+123

Q: Find al ales of that satsy th equation f(x)= g'(x) # f(x)=sin x and g(x)=cos x. 3mt x+kT, where k is…

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Q: Q3) Evaluate triple integral y(x2-y?)dz dx dy.

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Q: Evaluate triple integral f, SE Lx? - y?)dz dy dx.

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Q: Evaluate: | (cosh²2r+ sinh²2r) dr (A 2r +C 1 -sinh 2r +C 2 B -sinh 4r +C 4 D r +C E None

A: cosh²(2r)+sinh²(2r)= cosh(4r) ∫cosh(x)dx= sinh(x)+C, C is a constant.

Q: Evaluate f s 2°ds О а. 2"(sin2 - 1) (In2)2 O b. 2(sln2 - 1) (In2)2 O C. 2* In2 O d. 25 In2

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Q: dz ins- , if we let y=Vz+4, then the new integral becomes z+4 -2 у-2 True B False

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Q: "u,V.w are three vectors such that each is incined at an angle of 4 with the other two, and that lul…

A: To find the scalar product of two vectors with the given conditions.

Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y 9x² + 16

A: To evaluate: I=∫dx9x2+16 Substitute x=4sec u3⇒dx=43sec u tan u du

Q: x- 2 For the function f(x) = x-5 a. the graph of the function is until x = 2 only. O b. the graph of…

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Q: Evaluate the following integral using Partial Fractions Method: x3 + x? y = dx %3D x2 + x – 2

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Q: What is the derivative of f(x) = tan-(x)? %3D

A: We can solve this as follows:

Q: Q5/ Use Linear Regression to fit the following data: 1 3 4 Y 4 9 10 10 8. 00

A: Follow the procedure given below.

Q: Q2) Solve the D.E dy - (2x/1– y²)dx = 0

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Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

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Q: 1. The graph of a function y = a/b(x-h)+k shown below. -1 -40 Algebralcally determine two different…

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