If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√) (3√√x² +5+1) ((7²5))

Q: A function is given below. Determine the average rate of change of the function between t = 6 and t…

A:

Q: Question 14 Each side of a square is increasing at a rate 3 in/s. At what rate is the area of the…

A:

Q: Rewrite the expression in the form k. xn. 5 47²³_ 2√x 4x

A: We have find the solution

Q: The magnitude of the vectors and are 6 and 10 respectively, and the angle between them is 45°.…

A: The equation of the vector dot product is A⋅B=|A||B|cosθ, where θ is the angle between the vectors A…

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A:

Q: I = 3/√/2 6.³ 0 /9-y² Ivo e³x²+3y² dx dy y

A:

Q: Find the integral of ([sin(x)]^6){[cos(x)]^7)dx from x=0 to x = pi/2. 14/1001 15/2002 16/3003…

A: …

Q: The sequence is given. Part A: Assuming the pattern continues, list the next four terms in the…

A: We have to find the solution .

Q: 3. S v² dv (a²-√²)1³

A:

Q: Thank you for your help! Also, what was the 3rd digit for the 4.04?

A: I think you need all answers having three decimal places. So,i am uploading all the answers with…

Q: Which of the following statements proves the series-128+96-72+54- O 2 is geometric?

A:

Q: Evaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x = 5.

A:

Q: Find the explicit solution of the initial value problem: y(t)= dy dt || 3 4ty + y Transcribed Image…

A:

Q: Calculate the double integral √ √(8x + 2y + 16) dA where R is the region: 0 ≤ x ≤ 1,0 ≤ y ≤ 4.

A: The objective is to evaluate the double integral.

Q: Consider the function f(x) whose second derivative is f''(x) = 8x + 6 sin(x). If f(0) = 2 and f'(0)…

A: Given  f''(x) = 8x+6 sin(x),  f(0)=2,  f'(0)=4 We have to find the value of f(3).

Q: Differentiate y = (2x³ + 3x² - 1)5 5(6x² +6x)4 30x(x+1)(2x³ + 3x² - 1)4 30x(x + 1)(2x³ + 3x²-1) O…

A: The given function y=2x3+3x2-15 we have to find the derivative of the function

Q: How would you express a line with a zero slope? x = 0y - b y = 0x + b x = 0y + b y = 2x - 2b

A: Solving the problem by finding the zero slope equation.

Q: If we want to find the area between the curves x = −y 2 + 1 and x = y 2 − 1, shall we integrate with…

A: Given curves are x=-y2+1 and x=y2-1

Q: dt 1²+8t+20

A: We can find the answer as below.

Q: x-4 x→4x²-x-12 Without using L'Hopital's Rule, evalute the limit: lim- Attach File Browse Local…

A: limx→ 4x-4x2-x-12By L'Hopital rule,=limx→ 412x-1Plug in the value x=4=12(4)-1=17

Q: sigma 4-0 (1-x)/sqaurerootx dx

A:

Q: +31 Find the particular solution of the differential equation dy/dx = (4x^2-7x)/(3y^2+2) at x = 1,…

A:

Q: A-Evaluate the following double integral - (x² + y²) dy dx fo

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: K Analyze this conic section to answer the questions below. ²-6x-4y-11=0 UA. (Type an ordered pair.)…

A:

Q: Given the following table with selected values of f(x) and g(x), evaluate f(g(3)). x -6 -4 1 f(x)…

A:

Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

A: The given function is f(x)=5sinx+sin2x, [0,2π]

Q: Using the Factor Theorem, which polynomial function has the zeros 5 and 4-5/? Ox²-9x-5x + 25/+20…

A:

Q: (7)x(+7) is equ ○₂(π × V) Ouv 027

A: Topic:- vector algebra

Q: 2 2 lim √x + 6x - √√x - 8x X-00

A: We have to evaluate limit in this question.

Q: If the equation y = 50x + 25 represents the amount of (y) money it costs to rent a car for (x) days,…

A:

Q: The area of a rectangle is given by the function A(x) = 3x³ + 6x² + 4x + 8. If the length is defined…

A:

Q: Given f(x) = x² + 2x-5 and values of the linear function g(x) in the table, what is the range of (f+…

A:

Q: Evaluate the triple integral: 元 SS1² S² π/2 O 0 12p sin p cos 0 dp do do

A: The answer is given below:

Q: Example: Solve for x 3x-2 4*+1 -(19)** (2²)**¹ = (2-¹)³-2 22x+2=2-3x+2 2x+2=-3x+2 x=0 Solve for x:…

A: According to bartleby guidelines when student post multiple subpart question then expert must have…

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A:

Q: Identify the equation without applying a rotation of axes. 2 10x² -8xy + y² +9x+3y-6=0

A: Given, 10x2-8xy+y2+9x+3y-6=0

Q: Given f(x)=x² + 5x + 6, what is (2+)-7 O² + 14h 02x+h+5 Oh+4 09+h equal to?

A: Put value in function and then solve

Q: Use an appropriate test to determine whether the series converges. 2(k!)4 9(4k)! Σ k=1 By the this…

A:

Q: What is the equation of the rational function g(x) and its corresponding slant asy -10-9-8 O O O 7…

A: Given: Graph:

Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of…

A:

Q: Consider the initial value problem y" + 16y= cos(4t), y(0) = 3, y'(0) = 8. a. Take the Laplace…

A:

Q: ants a and b such that the function is continuous on t 8, 7 ax+b, -8, x≤-3 -3<x<5 x 25

A:

Q: (27 - ㅎ) (2급 + 글 이효리 17 U O 112-10 U 4u 4 u - 2 U 2 2

A: Topic:- application of vector algebra

Q: A parking garage bases its prices on the number of hours that a vehicle parks in the garage. 14 13…

A: Here we will find the pricing scheme ,

Q: Which linear equation is shown below? y = x/5 +2 y = 4x + 3 y = 5x + 2 y = 5x - 2 y = 5x + 4

A: To find out the correct linear equation which is shown in the graph below.

Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

A: We can answer the question as below.

Q: 3. Determine the equation of the tangent to y = x² + 6x + 9 which has a slope of 6. Sketch the graph…

A:

Q: Find the equation of the parabola described below. Find Kthe two points that define the latus…

A:

Q: Show that the vector field given below is conservative and find its potential function. F(x, y) =…

A:

Q: Evaluate the following limit: lim 2²-25 x→2 2-5 O Does not exist. 0-7 07

A: