What is the result of the following limit? O lim 3x x→∞ √9x² 1 3 1 3 23 2|3 +∞ 4x + 4

Q: Find the difference of the complex numbers in the complex plane. (-8+) - (8 + 1) Need Help? Read It…

A: Given that we need to find the difference of complex numbers.

Q: Let k(x) = f(x)g(x) / h(x). If f(x) = 7x, g(x) = x − 6, and h(x) = −2x^2 + x + 14, what is k′(x)?…

A: If f(x) = 7x, g(x) = x − 6, and

Q: Evaluate the integral by changing to spherical coordinates √36x²√72-x² - y² 1 [V 36 + y² xy dz dy dx

A:

Q: Decide whether or not the equation has a circle as its graph. If it does, give the center and the…

A:

Q: Solve the equation below. Give your answer in exact form. e7x x = 9.2 = Entry Tip: Use the MathQuill…

A: The given equation is,

Q: Find the point on the plane 2x + 7y+8z-13=0 closest to the point (-5,3,1).

A: We are required to:

Q: Find the distance between the complex numbers in the complex plane. 1 + 2, -1 + 4/

A:

Q: If f(x) + x²[f(x)]4 = 18 and f(1) = 2, find f'(1). f'(1) =

A: Given

Q: Evaluate using integration by parts or substitution. Check by differentiating. In (x + 11) dx

A: The given integral is .We have to evaluate the integral.

Q: W(t) = - 3t² +6t+45 a) Find the speed at the beginning of the interval. b) Find the maximum speed…

A: The given equation isAs per the question, this W(t) shows the speed per minute.

Q: Given that the directional derivative of f at the point (8,−1,8) in the direction of a = 6i-3j-2k is…

A:

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A:

Q: Determine whether the improper integral diverges or converges. +3 So (+² + 8)²0 converges O diverges…

A:

Q: Sº Identify the limits of integration in the given definite integral. Select the correct answer…

A: Given that we need to find the limits of definite Integration.We will solve by using formula of…

Q: Suppose that the value V of the inventory at Fido's Pet Supply, in thousands of dollars, decreases…

A:

Q: 17. a) Use differentials (that is, linear approximation) to approximate: 20.03 √3.9

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Suppose that the polynomial function fis defined as follows. f(x)=(x-11) (x-7)(x+5)²(x+12)³ List…

A:

Q: Find the exact values of the sine, cosine, and tangent of the angle. 165° 135° +30° sin(165⁰)…

A: We are required to:

Q: Đạo hàm riêng cấp hai của hàm f(2, 3) =ln(22+3y) theo biến y là fyy (2, 3) theo bien y, xlà f, (x,…

A:

Q: Give an explicit formula for the nth term of the following sequence. 1 2 3 4 5 5' 9' 13' 17' 21"…

A:

Q: Find the area under the graph of f over the interval [-2,4]. x²+2 x≤2 3x X>2 f(x) =

A:

Q: Solve the equation. Give an exact answer using the log function and an approximate solution to 4…

A:

Q: 8 if So Fax) dx =12, S₁ F(x) dx =3₁ (₁° f(x) dx = 4, AND 4 6 as fo FIND a) f(x) dx = b) Sa f(x) dx =…

A: Given: To Find: To find the following.(a) (b) (c) Note: Since the student has posted many sub-parts…

Q: The perimeter of a rectangle is fixed to 12 units. The rectangle is rolled into a cylinder by gluing…

A:

Q: 10. If f (x, y) =2ye” then find √, (x, y). f„,

A:

Q: ✔ N For the series Select the correct answer below: 2 O The alternating series test. The ratio test.…

A:

Q: G(x) = f tant dt Find G(1) = Find G'() =

A:

Q: Ö -2 Use partial fractions to find the power series off(x) = (x²+4) (x²+2)* Select the correct…

A:

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x² - 3y² - 7z² where T is…

A:

Q: A particular commodity has a price-supply equation given by p= 369(1.033)*, where x is the numbers…

A:

Q: Let y = tan(4x + 8). Find the differential dy when x = 2 and dx = 0.4 Find the differential dy when…

A:

Q: 1- 2х + x2 dx х2

A: To Find :

Q: Sketch the graph of a function y=f(x) that satisfies the given conditions. No formulas are required-…

A:

Q: Solve the initial value problem below using the method of Laplace transforms. y"+y' - 20y = 0, y(0)…

A: To solve the initial value problem by using the method of Laplace transforms., ,

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: Steven's Cat Math: This weekend I observed a cat, known as Fluffy, running across a branch and…

A: 1) At 0.255 seconds, Fluffy reaches the peak of his trajectory.To get the height substitute t =…

Q: Find the difference of the complex numbers in the complex plane. (6 + 5)-(7 + 6/)

A: let F=

Q: A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon…

A:

Q: Find the distance between the complex numbers in the complex plane. -3+, -9 + 3/

A:

Q: Use the limit comparison test to determine whether the following series converges or diverges. Σ n=1…

A:

Q: y = In[x. 4*]

A: We have to differentiate the given function.…

Q: y = ln (5x³ — 9x) y=(lnx)* + log4x+ln4

A:

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x2 + y2 + 6x −…

A:

Q: fter t hours a freight train is s(t) = 17t² - 2t³ miles due north of its starting point (for 0 ≤ t ≤…

A:

Q: Use the Root Test for the following series: Select the correct answer below: (10n)" Σ (Inn)" n=2 O…

A:

Q: Consider the function f(x,y,z) = 2x² + 4y² + 2z²+2, the point P(3,0,2), 1 1 信 √2) 2 and the unit…

A:

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A:

Q: The demand equation for video games is given by x = 400-20p Where x is the number of video games and…

A:

Q: Problem #10: Problem #10: What is the smallest number of terms of the series Σ (1)" +1 n3n estimate…

A: The solution is shown in step-2

Q: Isx-2x² + 3x³-4x² + ... = Select the correct answer below: Yes No ∞ =(-1)"+¹ nx" a power series? n=1

A: Here we have to check whether the given series is a power series or not.