Find the limits of the following transcendental functions. Show your COMPLETE solution and box your final answer. '. 1. lim 32x-3 +5 x-4 2. lim log2(x² –- 8x – 1) ズ→-5 3. lim (In 2x + 5) + 4 *Write your final answer using 4 decimals x-1 4. lim 125zx-7 + 2 ズ→5 5. lim e*+1 x→4

Q: z8 – 6z° + 4z° – 2 -dz z*

A:

Q: 3-1 4. The value of the indeterminate form from lim is 1 4r2 - I- 3 (a) 0 (b) 00 (c) 1 (d)

A:

Q: d*y 4. Find 5 of the function f (x) = - e dz"

A:

Q: c. What is the height of the object at the highest point? d. When does the object strike the ground?...

A:

Q: The population of a certain state (in thousands) from 1991 (t= 0) to 2001 (t= 10) is modeled by the ...

A:

Q: Graph the function f(x)= -3(x)^x +7

A: The given function is  f(x)=-3(x)x+7

Q: I have 1 yard piece of fabric with 45 inches width. I am planning to make hand towels out of it. If ...

A: Measurement

Q: The graph of a rational function f is shown below. 10 4- 2 -6 -4 4 6. -2 a. What is the horizontal a...

A: The graph of the function y = f(x) is given as

Q: csc2 Given: lcot2(클x)- 4cot(글x)+ 4 xp - Find: u cot2 4cot x+ 4 cot cot2 4cot X+4 O ca)-2 cot

A:

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

A:

Q: Create a bucket by rotating around the y axis the curve y = 3 ln(r- 1) from y = 0 to y 10. If this b...

A: Given: Create a bucket by rotating around the y-axis the given curve, y=3lnx-1 from y=0 to y=10 Dens...

Q: Given: cos(cos2x) sin2x dx Find: du O 2sin2x dx -2sin2x dx O -2cos2x dx 2cos2x dx

A: Given that ∫cos cos 2x sin 2x dx  -(i)Our Aim is to find the value of du=?

Q: Evaluate the integral 3e2x 2e-2x 1 In vZe-2x + /2e-4x – 3 +C 2/7 - 2x 2/3e2x - 2e-2x+C -등 Arcsinl VZ...

A: Explained below 

Q: A certain index I is a measure of soil moisture. An article described the rate of change of I with r...

A: dIdW=0.0634.6-I  

Q: Consider the following graph. y 3 2 1 X -10 -8 -6 -4 -2 2 Identify the parent function represented b...

A: The objective is to identify the parent function ,the transformation represented by the graph and th...

Q: Suppose the distance between w and -3 is greater than 5. (a) Enter a compound inequality, not involv...

A: This question can be solved by the concept of number line.

Q: X- S- V3e2x - 2e-2x dx VZe-2x+ /2e-4x - 3 +C 2/2 2/3e2x - 2e-2x + C V2e-2x +C 1 -Arcsin 2 V3 -Arcsin...

A:

Q: dx Given: x sinx Find: Formula 2 Jsin u du Jsin u du 02 fcso o fesc u du 2 | csc u du

A:

Q: Assume that sin(z) equals its Maclaurin series for all x. Use the Maclaurin series for sin(72) to ev...

A:

Q: What values of x make 3(x – 5)(x – 12)(x + 5) = 0? If there is more than one answer, enter your answ...

A: Topic = Algebra

Q: Given: x² dx Find: Formula So"du Sa"du

A:

Q: 11-14 Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given inter...

A:

Q: Evaluate the integral SV5+12x² – 4xª xdx 1 -(5+ 12x² – 4xª) ² +C 24 (2x2 – 3)/5+ 12x? – 4xª + 14Arcs...

A:

Q: 00 k k 2. Σ (- 1)- k+1 k=0

A:

Q: Example Find the domain and range of the following functions : x +7 if - 35x<5 [2-x if 0 <x<2 x - 1 ...

A: (i) f(x)=2-xif 0&lt;x&lt;2x-1if  3≤x&lt;4(ii) f(x)=x+7 if  -3≤x&lt;5x2if   5≤x&lt;76-2xif   x≥7

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: (4x2+y2)dxdy = -xy ....(1)f(x,y) dxdy =ϕ(x,y)The given differential equation is ahomogenous equation...

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: Solution is here

Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: EXERCISE 1 df af. In each of the following, find Əx and (k) f(x, y) = /Ty + VT+ VJ

A:

Q: Find the derivative of the given. f(x)= cos x cot x let g= cos x and h= cot x. Then, g'= -sin x an...

A:

Q: dx Evaluate (1– 2x)² 1 2 O -1 1 2

A: To solve the following integral

Q: Given: 5e-x-6e-3x Find: u O 5e-x - 6e-3x 5e2x – 6 5-бе-2х V5e-x - 6e-3x

A: ∫ex5e-x-6e-3x3dxSubstitute v=ex→dvdx=ex→dx=e-xdve-3x=1v3e-x=1v=∫15v-6v33dv

Q: 1. A strictly monotonic function is defined as a function that either always increases or always dec...

A:

Q: Evaluate the integral S dx 2x3 - 3xx 1 -In 2/2 "I/3x + /2 +C En(2 { x³ - 3x x)+c 1 V2 + V3x -In + C ...

A: First we take common x3/4 then put√x=t  And using integration of 1/a2 - x2

Q: 2.1x + 11.1 if r – 1 if z = – 1 Determine which one of the following rules for continuity is violat...

A: Given query is to find the rule whic is violated.

Q: 10* tan væ – In () DIFFERENTIATE the given:

A:

Q: Find dydx for y=ln2x3−x2

A: This question is based on derivative.

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

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if f'x=06x1+2x2-4x3x21+2x22=06x1+...

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: V9 – x2 Let R be the region bounded by the curves Consider the function f(x) = 3 y = f(x) and y = 0 ...

A:

Q: Part of the piecewise-defined function - (I – 5) +3 if 4< ¤ < 7 f(z) = bif =7 MI if 7< I < 14 is ske...

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous on the interval...

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

A:

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

A:

Q: = 2.4 · x and g(x) 6. x2 and h(x) = - 1.1 · a°. Without evaluating, determine the sign of each of th...

A: The given question has been solved in detail. 

Q: Evaluate the integral dx 3e2x - 2e-2x 1 VZe-2x + /2e-4x - 3+C 2/2 1 -Arcsin V2e-2x +C V3 2/3e2x - 2e...

A:

Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

A:

Q: dw In each of the following, find dr and ds using the Chain Rule. 1. w = xy + yz+2z; x =r+s+t; y =rs...

A:

Q: Find the equation of the line through P = (8, 7) such that the triangle bounded by this line and the...

A:

Q: y 2 y = sec? x y = sin(4x) → X T/8

A:

Q: Find fo g, g o f, and g o g. f(x) = 2x, g(x) = x4 %3D (a) fog (b) gof (c) gog

A: