Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s) of x is f '(x) = 0.

Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

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Q: In each of Problems 1 through 5, determine the canonical form of the eliptic equation. 1. Uzz + 2uzy...

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Q: Which of the following graphs show a removable discontinuity. (Select all that apply)

A: For removable discontinuity,   limx→af(x)  exists but f(a) not defined. For non removable discontuit...

Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

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Q: Let S be the plane defined by 5x-Sy+10z 0, and let T be the plane defined by 2x-2y+5z=-2. Find the v...

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Q: Give the degree and leading coefficient of the following function: f(x) =2x2 (4- 3x-5x3)

A: Given query is to find the degree and the leading coefficient of the function.

Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select o...

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Q: S Зх — 5 Given: (3х- 1)(х - 3) Find: u 3x2 - 10х+3 Ох-3 3x2 +3 О Зх-1 O O

A: Topic = Integration

Q: Exampi r(x) = (/2x + 1 - x²)-1 %3D "(x) =

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

Q: y y = 2 2 1 y = 1 → X п/2

A: The given question has been solved in detail. 

Q: S- V3e2x - 2e-2x VZe-2x +C Arcsin 2/3e2x - 2e-2x +C 2x +/2e¬4x +C 2/7 O 12 -Arcsin 3e2x +C

A: ∫e-x3e2x-2e-2xdx Solution :∫e-x3e2x-2e-2xdx ∫e-xex3e2x2-2dx 12∫132e2x2-1dx let ,32e2x=t32e2x2dx=dtdx...

Q: Find the exact length of the curve. y = (1 + x2)3/2, 0 < x < 2

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Q: The function g is related to one of the parent functions described in an earlier section. g(x) = x2 ...

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Q: (2.13) Compute Lp(t), where P is the regular tetrahedron with vertices (0,0,0), (1,1,0), (1,0,1), (0...

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Q: Determine if the given function is continuous at -3. * (x + 7 x< -3 |x – 2|| f(x) = { x² – 2x 9x - 3...

A: Topic:- limit and continuity

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 – 2x2 – 4x + 1, [-1, ...

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Q: Evaluate the integral dx |V7 + V3x -In 3 V2 - V3VX +C 1 -In V3x + V2 V2 +C 2/2 O In(2 V x³ - 3x Vx)+...

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Q: ind the values of c that make f continuous everywhere: { Sa² – c² if x 3

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Q: . Find the equation of the line tangent to the function at the given value of x. . Use a graphing ut...

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Q: The product of two positive numbers is 2304. Find the minimum sum of the two numbers. O a. 88 O b. 7...

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Q: Determine the value of x of the discontinuous function: * x – 1 x 3

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Q: . Set up the integral with represents the area of the surface z = xy that lies inside of %3D the ell...

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Q: Approximate the integral to three decimal places using the indicated rule. c0.8 311 01 dx; Simpson's...

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Q: The radius of a circular puddle is growing at a rate of 15 cm/sec. (a) How fast is its area growing ...

A: Given :-  dr/dt = 15cm/sec  a) how fast its area growing when radius is 30cm  b) how fast its area i...

Q: A curve has an equation of y x - 6x + 9x + 2. Find the point of inflection of the curve. Оa.(2, 4) O...

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Q: 3 y = log ( cos DIFFERENTIATE THE GIVEN:

A: The detailed solution is given below Thank you 

Q: 2. If not, indicate Given the function below, determine if the function is continuous at the point I...

A: We need to check continuity of given function.

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities? g(x)=x(x...

A: We have to find the zeroes and their multiplicities.

Q: Find equations of the tangent plane and the normal line to the given surface at the specified point....

A: Solved below

Q: Find the point on the plane 2x+7y+8z-14 =0 closest to the point (-3,3,1). The point is (Simplify you...

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Q: -1 [cos'x{ v(1-x*)}]" dx log.{1+( 1+( sin (2xv(1-x²)) TT

A: Given: - The indefinite integral is, ∫cos-1x1-x2-1loge1+sin2x1-x2πdx  To find: - The solution of the...

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =...

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Q: Evaluate the following improper integral. Give an exact answer. 1. dx 2/3

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Q: lim x→0 4-Vx+16

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Q: List the first five terms of the sequence : (-1)"n an = n! +2 a1 =Number a2 =Number a3 = Number a4 =...

A: Given:            an = (-1)nnn!+2⊙Then, for a1  put n=1 in an:           a1 = (-1)1(1)1!+2Hence,    ...

Q: Calculate the definite integral. 4xy Vx2 + y2 dy Calculate the iterated integral. (1 (1

A: Here we have to calculate ∫014xyx2+y2dy

Q: The volume, V, of a sphere in terms of its radius, r, is given by V (r) = Tr³. Express r as a functi...

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Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how fas...

A: We have to find how fast balance will grow per year after 4 year

Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is ...

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Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 - 3...

A: We will use substitution method to solve it.

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about * = x0 and then find the nth Taylor...

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Q: What is the maximum value of f(x) = x³ + 3x2 -2 ? %3D Answer:

A: Solution: f(x)=x3+3x2-2 find the maximum f(x)  

Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A: Here, the given DE is: y(x tanx+ln y)dx+tan x dy = 0⇒tan x dy=-y(x tan x+ln y)dx⇒1ydydx=-x tan x+ln ...

Q: Set up, but do not evaluate, an integral for the volume of the solid obtainedi by rotating the regio...

A: Consider the region   

Q: The sum of one number and three times the second number is 48. What will be the maximum product of t...

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Q: dx Evaluate 2 xV x2 - 4 4 O O

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Q: The graph of a function f is shown below. 2 -4 4 -2 -4 For the following questions, note that you ca...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: S 3 x + 3x + ( + 4x + 1 (x² + 2x + 2)²

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Q: y = x² cos sec 3 -1* 2

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