QUESTION 16 In(cos(2x)) Evaluate: lim (п - х)2 O a. 0 O b.2 O C. 1 O d.-2

Q: The line that is normal to the curve x2 + xy - 2y? = 0 at (3,3) intersects the curve at what other p...

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Q: Solve the following equation by the quadratic formula. x2 + 3x - 1= 0 3+V13 X= 2 -3+V5 X= 2 3+v5 2 -...

A: For a quadratic equation:                                     ax2+bx+c=0 The solution is of this qua...

Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: Find the derivative of the vector function below 2, r(x ) = sin (secx ?)i +csc°(Vx² +1)j +8tan(x -) ...

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Q: sec x (Ъ) у -

A: Let's find. 

Q: The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be present in 90...

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Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the...

A: we know that Z=x+iywe have the point as A=-1-i2 in complex plane =(-1,-12) in cartesian coordinate (...

Q: 4. Find by implicit differentiation of x sin(y) = y cos (x) dx

A: The given problem is solved below in detail.

Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

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Q: cot 0 sin 0 cos 0 =

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Q: Find domain a 1 f(x,y)= (1/xy) 2 f(x,y)= sqrt(y-x^2)

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Q: How fast is the volume of a sphere changing when the radius is 20 cm if the radius is changing at th...

A: We will find the rate of change of volume of sphere at a given radius. 

Q: dx 2x x2

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Q: 2 For the given cost function C(x) = 16900 + 500x + x First, find the average cost function. Use it ...

A: For the given cost function Cx=16900+500x+x2, first to find the average cost function. By using it t...

Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

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Q: Without solving the equation, determine the discriminant and the nature of the roots. x 2 + 7x - ...

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Q: We have  P(t) =  7000 1 + 24e−kt. Since P(1) = 840, then 1 + 24e−k = ____ , and so ek =

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Q: 6. Find the exact solution of each equation, no decimals. Do not use a calculator and find the domai...

A: Given problem:-

Q: Find the derivative and simplify: y = cotVt - 1 1 2tvt - 1 1 2t/t -1 tVE -1 1 tvt-1 QUESTION 9 SLL J...

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Q: x² – y + 1 f (x, y) x² – y? + 1 -

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Q: Given the function f(x,y) cos 2xーx3eY +āyン COS find te second partial olerivative fxy.

A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a con...

Q: 1 x =e" cos v, y=e" sinv uaz เมื่อ แ=1 และ "=- 3 และ ĉu Find

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Q: Set up the itegral that represents the length of the curve for 4=L x4 +L 4x2 for 12x< 2. Do Not eval...

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Q: Q2 LB/

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Q: (use Loug division) 2x'-3x+リメ+5 X+ 2 2×-3x+メ+5

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Q: In space coordinates system, the y-axis consists of all points of the form O (x, 0, 0) O (0, 0, z) O...

A: we know that(x,y,z) is nothing but distace of a point from origin along the x,y,z-axis

Q: y'=(x^2+y^2)/xy solve using homogeneous equation (diff eq)

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Q: Point Q, expressed in spherical coordinates, is (V2, -5, :). What are the Cartesian (rectangular) co...

A: NOTE: Refresh your page if you can't see any equations. . the given spherical coordinate is  so we ...

Q: 5. Let f(x, y) = 3xr² + xy- y. (a) Compute f(1.02, 1.99) exactly. (b) Let f(1.02, 1.99) = f(1+0.02, ...

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Q: Rotate the axes so that the new equation contains no xy-term. Analyze the graph the new equation

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Q: QUESTION 11 Find y" of y = X-1 y" = (x- 1)3 y" = -2 (x- 1)3 2 y": (x- 1)2 1 y" = (x-1)3 | %3D

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Q: Find if converging or diverging using nth term test

A: ∑n=1∞-1nn5    an = -1nn5    We can now proceed with nth term test.. 

Q: Evaluate the trigonometric functions at the special angles. Match the function with its value. 1. -V...

A: ⊙ tan(210°) = tan(180°+30°)                        = tan(30°)                                       ...

Q: 1+ cosx + sinx sinx 1+cos X 2sec x 2csc x 2csc 2x 2sec 2x

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Q: - If y = (2x + 7)², then what is ? dx dy a. 2(2x + 7) dx = 2 %D b. dx 4x 8x + 28 dx e. If y = (2x2 -...

A: NOTE: Refresh your page if you can't see any equations. . take derivative ...............option...

Q: The domain of the function 7 (t) = (In t, cos 2t, /t – 2) is

A: Given that function rt→=lnt,cos2t,t-2To find : Domain Solution: rt→=lnt,cos2t,t-2t&gt;0,t-2≥0

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dv 3 V

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Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

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Q: Find the interval of convergence for the given series. E (n + 7)!(x + 12)" n=0 Select the correct re...

A: Let's find. 

Q: a) State the number of edges in the complete graph K9, where each pair of distinct vertices is adjac...

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Q: Use Stokes’ Theorem to evaluate the closed loop line integral F*dr where F(x,y,z) = xi + yj + 3(x^2+...

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Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :  

Q: х+ 3 f(x) %3D x2 - 9

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Q: QI: Draw the projections of the points: A (8, 3), B (-5, 4.5), C(0,-3). D (6, -3), E (-5.5, -1), F (...

A: Solution is given below:

Q: A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest p...

A: This question can be solved by the concept of maxima and minima.

Q: If x3 + y3 = 65, find the value of at the point (4,1). 2 dx y at the point (4,1) is 2 dx The value o...

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Q: Find the transition points. y = 10x - 90x4 (Use symbolic notation and fractions where needed. Give y...

A: Given equation is y=10x6−90x4

Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

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Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

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Q: The domain of the graph y = cotx is all real numbers -15xS1 -13xS1 all reals except kT

A: Given query is to find domain of cotx .