Determine the infinite limit. x2 + 6x lim x-3 x2 – 6x + 9 8

Q: 10. Given that ļlog, 2= 0.301, log, 7=0.845, and loga 11 = 1.041, find the following, if possible. l...

A:

Q: (3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each i...

A: Length of wire = 10 cm

Q: A man 6 feet tall walks at a rate of 7 feet per second away from a light that is 15 feet above the g...

A: The given data is: A man 6 feet tall walks at a rate of 7 feet per second away from a light that is ...

Q: 8. Convert to degree measure. Round the answer to 2 decimal points. 2n/7

A: (a) Given:- The radian measure is, 2π7 To convert: - The radian measure to degree measure.

Q: 5) B 57 43° A 12 Y 7) 64° 7 C Solve each triangle. Round

A: Given that:             NOTE: As per our answering guidelines, we can only answer 1 question or 3 su...

Q: 6. lim f(x) = +∞, lim f(x) = 0 and f(-1) = -1 %3D x-1- x-1+

A:

Q: The population, y(t) (in thousands) of rabbits on an island has an intrinsic growth rate of 28% per ...

A:

Q: 72x e2x dx

A:

Q: Use the Simpson's Rule to approximate the given integral with n = 8. (Find S8.) Round your answers t...

A: Given,∫0211+x6dxHere n=8, therefore h=b-anh=2-08h=14 Now we create table  x 0 1/4 1/2 3/4 1 5/4 3...

Q: 28. Show that D = 0 for f(x, y) =x + (x- y) and that the function has no relative extrema.

A: Given: fx,y=x3+x-y2 To calculate the critical points, ∂f∂x=0 ; ∂f∂y=0

Q: 3 24- dx (3— 4x(х + 1)

A:

Q: 1. A parabola with directrix y = -1 and one endpoint of the latus rectum at (-1,3)

A: As per our guidelines we can answer only one question. please repost other seperately.  First of all...

Q: Mcru bewa IS SA SOTA 2. Solve each of the following using graphing calculator for 0<x< 2n. Round to ...

A: We have to find the solution of the given trigonometric the quations using graphical approach.   Not...

Q: Given f(x)=−2x^2+4x+13, find f′(−4) using the definition of a derivative.

A: f'(a) = limh→0 f(a+h)-f(a)h.

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can t...

A:

Q: 3600t The system of the population of a culture of tumor cells is given by p(t) Find and interpret l...

A: Given that: p(t)=3600tt+4

Q: Evaluate the definite integral: dz 15

A: We have to solve the given definite integral

Q: an open box is to be constructed from a poece of cardboard 10 cm by 20 com by cutting squares of sid...

A:

Q: The graphical method of linear programming is restricted to problems having no less than three varia...

A:

Q: 7. What is the global maximum value of f(x1, x2) = ln ¤1 + ln x2 with constraint 2x1 +3x2 = 6? Round...

A:

Q: Consider the following. if x <1 if x 21' f(x) = a = 1 (a) Find the left-hand and right-hand limits a...

A: Topic:- calculus

Q: 8 sin() Σ n2 mstl n=1

A:

Q: Find the cartesian equation of the following: 6 1. r = 3-sin 0 2. r2 cos(20) = 4 %3D 9. 3. 4 sin(20)...

A:

Q: Find the linearization at x = a. y = (10 + x)-1/2, a = 9 (Use symbolic notation and fractions where ...

A:

Q: Evaluate the integral 3sin^2(t)cos^4(t)dt, from 0 to pi.

A: Given problem:- Evaluate the integral 3sin2(t)cos4(t)dt, from 0 to pi.

Q: A company’s total sales (in millions of dollars) t months from now are given by S(t) = 3 + √t  (Show...

A:

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A:

Q: Solve the given initial-value problem. y"' + 4y" + 4y' = 0, y(0) = 0, y'(0) = 1, y"(0) = -6 y(x) = %...

A:

Q: Find the derivative of the function f(x), below. It may be to your advantage to simplify first. f(x)...

A: The detailed solution is given below Thank you 

Q: Reduce to first order and solve 1> 2xy"= 3y' Cos n ii) xy"+ 2y'+zy = 0, Y, = ニ

A:

Q: Let lim f(x)=4. Use the limit rules to find the limit given below. lim 20 X-5 lim 200-

A:

Q: 2. Sally is trying to choose between two internet plans. Under the first plan, AT&T will sell her a ...

A:

Q: Solve the separable equation using the integral factor  y⁴ y¹ + y¹ + x² + 1 = 0

A: Here, the given differential equation is: y4y'+y'+x4+1=0⇒y'(y4+1)=-(x4+1)⇒(y4+1)dydx=-(x4+1)⇒(y4+1)d...

Q: Find the following using the table below. 1 2 3 f(x) f'(z) g(x) 1 4 4. 1 2 4 (x),6 h' (2) if h(x) = ...

A:

Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...

A:

Q: a) The cost of first-class postage stamp was 5¢ in 1965 and 50¢ in 2010. This increase represents ex...

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, 2] for y = 2x'. (Use s...

A: We know that; The expression for the area of the surface revolution of y=f(x) rotated about the x-ax...

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3. In (cose) tane d...

A:

Q: (a) Estimate the area under the curve across the given domain with the "Trapezoidal Rule" using thre...

A: The integral to be evaluated using Trapezoidal rule is ∫x=-2x=+22x3+3x2-7x+3 dx. The trapezoidal rul...

Q: 5. f re" dr 7. fx' sin x dx sin 7x dx 9. | In(2x + 1) dx

A:

Q: The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given...

A:

Q: Solve the separable equation using the integral factor  y⁴ y¹ +y¹ + x² + 1 = 0

A: Given equation is y4y'+y'+x2+1=0solve it 

Q: If possible, rewrite the equation in slope-intercept form, y = b+ mx, and give the values of b and o...

A:

Q: Consider the differential equation x?y" – 8xy' + 20y = 0; x4, x5, (0, ∞). Verify that the given func...

A:

Q: Suppose the position of an object moving in a straight line is given by s(t) = 3t-: -7t-10. Find the...

A: We can find the answer as below.

Q: Find the limit. (If the limit is infinite, enter 'o' or '-', as appropriate. If the limit does not o...

A:

Q: write the slope-intercept forms of the equations of the lines through the given points •parallel to ...

A: Given: (a) Point:(-1,0);Line:y=-3(b) Point:(2,5);Line:x=4 

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

A:

Q: C175 12) Use SPECIAL LIMITS and SQUEEZING THEOREM to find lim f(x) = _ if given X 1 1 (x-1) s f(x) s...

A: Given that: 2x1x-1≤f(x)≤esin(4x-4)(x2-1)      for x≠1

Q: II. Select all possible answers. Observe the continuity of each function using the corresponding gra...

A: