(1/16) ^2x-1 =64

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A: We have to find domain

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A: We can solve this as follows:

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A: We need to find values of function at x values.

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A: Given table:- Term (n)  1 2 3 4 Value (an)  6 30 150 720     To find:- Explicit formula ...

Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: Evaluate Ln(-5.3- j2.4) O 4.3143+ j1.0541 O 1.7610 – j2.7164 O -1.2232+j1.9883 O -2.6170 - j3.5246

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Q: use the vortex (h,k) and a point on the graph (x,y) to find the general form of the equation of the ...

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Q: 3. For each of the following functions, determine whether it is one-to-one, onto or one-to-one corre...

A: Solution is here

Q: 1. Use the definition of partial derivative as the limit of a difference quo- tient in order to comp...

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Q: 4. Evaluate the limit of as e approaches 0. 2a A 2 B. % CO D. infinity

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Q: For the following exercises, find the exact area of the region bounded by the given equations if pos...

A: Area between curves x2=y3 and x=3y

Q: Find the Differential Equation of (sin2x-2ycosx)dx=2dy

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A: We need to evaluate integral.

Q: Determine whether it is possible to express 1 as a liner combination of 1= m· 44 + n·91,. for some i...

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Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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Q: (x +Jy?+1) dx x-(y- dy = 0 り*+1

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Q: 4. Compute 23 2 3 4 3 2 0

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Q: 1. y" = x, IC:y(0) = 0, y'(0) = 1, y"(0) = 0. %3D

A: According to company's rules.. I need to solve first question when multiple questions are posted.. R...

Q: S(x, y, z) = 2x'y²z²

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Q: dx If x2 + y2 + z2 = 9, dt dy 6, and dt dz when (x, у, z) %3D (2, 2, 1). dt 3, find %D %3D dz dt II

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Q: 16. 15. sin x cos (x/2) dx 18

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Q: y' + y = x4 Your answer Solve the differential equation with appropriate method. Express final answe...

A: I am attaching image so that you understand each and every step.

Q: QUESTION 1 a) Find the interval(s) on which the curve f(x)= x°(x- 3) is increasing and/or decreasing...

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Q: 12. Let f(x, y, z) = xy – 2³. Calculate the directional derivative of f at the point (3, -2, –1) in ...

A: We have to find direction derivative

Q: x-3 Given the reciprocal function, x+5 A] Identify the vertical asymptote (x-int) and the horizontal...

A: The given problem is solved below in detail.

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: 1 (x² +2)% 3 4. Consider the curve y = 0<x<1 a) Find the length of this curve b) Find the volume of ...

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Q: Write an equation of the tangent line to the curve f (x) = 2// + 3x at the point (4, f (4)). Upload ...

A: Here, the given equation of the curve is: f(x)=2x+3x To find the slope and the equation of the tange...

Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Which of the following is equal to cos x- sin' x ? 4 | O sin 2x O - sin 2x | O - cos 2x

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Q: de dx = x(6x - 0) + (3x² –9).1 = 6x² + 3x² -9 = 9x -9 (x² -1) | II

A: We know that derivatives of xn is : d(xn)/dx = nxn-1. And product rule of derivatives is  d(U.V) = U...

Q: obtain the general solution.  dx =t(1+t2)sec2xdt. (1+In x)dx+(1 +In y)dy =0

A: (1). The given differential equation is: dx=t1+t2sec2x dt

Q: Let V be the volume of a pyramid of height 20 whose base is a square with side length 8.

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Q: Let f(x, y) = sin(x – y). Calculate the directional derivative of f in the direction of v = (1, 1) a...

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Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the domain and the range of the function f.

A: Topic = Functions   Domain x∈-∞,-1∪-1,∞RAnge fx ∈-∞,-1∪-1,∞

Q: Use numerical or graphical evidence to determine the left and right hand limits of the function. |7x...

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Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

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Q: 4. Find the general solution of this DE using INSPECTION. dadx + aydy +(X² + y?)dx = 0

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Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the inverse of the function f

A: Follow the steps discussed in solution.

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Q: et* +2e* e* +1 xp -

A: Topic = Integration

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Q: B. Read and answer the problem carefully. 1. A spherical balloon is inflated with gas at the rate of...

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Q: 2. Let f(x, y) = In(x² + y²). Show that fre + fyy = 0. %3D

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Q: a) cos -1 V3 b) V3 sin- c) cos cos d) sin sin- 4 cos cos 2

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