Find each limit, If it exists. 6- 4x (a) lim 6x - 7 4x (b) lim * 6x-7 () lim 6x 6-4x2 %3D Submit Answer

Q: (24) Evaluate the integral: / Va sin(1+ x/²)dx. (25) Find the equation of the normal line to the…

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Q: uppose that w = f(x, y, z), where z = r(u, v), y = y(u, v), and z = z(u, v). 'hich of the following…

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Q: Find the area bounded by: y=x³+ 1 and y=x+ 1.

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Q: 3. Given that f(x) = x³ + px? + qx – 3 is exactly divisible by (x – 1) and leaves a remainder of 3…

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Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find sin A, tan…

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Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: (21) Let y be a function of . Find y'(x). Leave your answers unsimp (a) y = arcsin(arctan(2anx)), a…

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Q: ) Find extreme values of f(x, y, z) = x^2 + y^2 + z^2 subjected to the constraint x + 2y + 2z = 12…

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Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: give

A: We will solve the integration.

Q: Enumerate and explain the Four Second Partial Derivatives of the Partial Derivative of z with…

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Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.3 cm/min.…

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Q: If f(x, y) = e“ sin(4y) then: 4 sin (4) 4 cos( 4) V f( – 1, 1) . el el

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Q: 2. Find the volume of solid generated by revolving the area bounded by x=y2+2, x=0 and y=2 sbout: a)…

A: Given problem:- Find the volume of solid generated by revolving the area bounded by x = y2 + 2 , x =…

Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

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Q: 1. Using proof by contradiction, prove Let n be an integer. If n' is even, then n is even.

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Q: sin(h) Evaluate: lim h →0 4h

A: Evaluating the limit with the help of standard limits.

Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

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Q: Let f(x)=x+2 A Find the linear approximation of f at =7 In other words, find the tangent line to the…

A: This question can be solved using the concept of linear approximation of a function about a point.

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

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Q: noitel arctan 2x 37. lim x→0+ In x

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Q: 8. Find the inverse function of: f(x) =- 64

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Q: rcos(z) d Find the derivative: dx V1 – t2dt

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Q: If f(z, y) = e" sin(4y) then: V f( – 1, 1) =

A: Given function is f(x, y) =e4xsin4y.  We have to find ∇f(1, -1 ). The vector differential operator ∇…

Q: A right triangle has side lengths a, b, and c as shown below. Use these lengths to find tan x, cos…

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Q: (22) Find the derivative of f(2)

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Q: Show that the vector a=(-1,13, – 5)can be written as a linear combination of b = (1, 4, – 2) and c=…

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Q: v 5 0 1 Given A = 2 3 1, B=|-2 w 3 4 2 x, C = -2 1 0 and D=[2 1 4]. [-2 0 1 y 3 [-2 1 a (a) Find the…

A: (a) For that, to find inverse matric of A.

Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

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Q: (h – 2) - 4 (i) lim 2h

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Q: Evaluate: sin2 1. A. 575 2 В. 575 4 C. 575 96 D. 575

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Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: Determine the area of the given region. 3. Region between f(x) = x - 4x and g(x) = x.

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Q: Find the absolute extreme values of the function on the interval. 13) f(x) = 7x8/3, -27 sxs 8 A)…

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Q: dy Use implicit differentiation to determine dz given the equation zy + cos(z) = e".

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a

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Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: To write an example to how to find out the derivative and anti derivative.

Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x<-1                                =…

Q: the solid obtained by revolving the region bound ed by Find the volume OF about the X - axis the 2…

A: The region bounded by the x-axis, y=x2,x=0,x=2 is:

Q: (zx" xy') dx-3xy dy 2-

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Q: Find f/ (x). If f(x) = tan-1x2

A: We have to find the derivative

Q: 4. Solve 5x3 - 3x2 – 32x – 12 = 0

A: We have to solve the equation

Q: '1– 3* dx 5x

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Q: sorry I should of been clear, I need letter B to be worked out

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Q: e* + 3x' lim, e* +0.5x?

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Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

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Q: 1-x2 2 dy dx -1 J-V1-x² (1 + x² + y?)²

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Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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