11 2

Q: Consider the function y = 3(square root of x) + 8. What is the value of C in the interval [4, 9]…

A: First we will find fave

Q: ................................................. Determine whether the lines intersect, and if so,…

A:

Q: e* +e* –x? - 2 Lim sin? x– x? 2

A: To solve the given limit of the function

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given that  required plane passes through point ( 7, 6 , 6 )  and perpendicular to the vector having…

Q: 1. The Fibonacci sequence is given by the recurrence relation a, = a,-1 + a,-2; a, = 0, a, =1. Write…

A:

Q: Question Using Partial Fraction Method, evaluate: S (1 + dx х2-1. Your answer

A:

Q: Find the general solution for the following equation: y''' + 3y'' – 4y' – 12y = 0

A: Solve the differential equation by assuming eλx for some constant λ.

Q: ds For the following function find the antiderivative s that satisfies the given condition. dt ds =…

A:

Q: dr Find if r sin[cos(-0)I. dr dr cos[sin(-0)] = sin 0 cos(cos 0) d0 d0 Option 3 Option 1 dr dr - sin…

A: The objective of the question is evaluate the derivative of the given function. Note -  As per our…

Q: |(1 - 4x4 + x)/x dx = 1/(2x2) + 2x² - x + C Select one: O True O False J(4csc?x -3sec2x) dx = -4cotx…

A:

Q: is given by: If f(x, y) then 8(8x-4y) '

A:

Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

A: Let's find.

Q: 2. Solve the given the equation using the integrating factors found by inspection. [2х + усos(ху)jdx…

A:

Q: Answer

A: As per policy, only first question is answered.  Please refer to the image below

Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: For orthogonal trajectory we replace dy/dy by -dx/dy

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(2, -1,…

A:

Q: Fove that y = ln|| is a solution to 1+e-22 - xey-x² . Use the initial values x = 0 and y = 0.

A: Given query is to find the solution of the differential equation.

Q: x'sec'ydy – (1 – 2x²tany)dx = 0 %3D

A:

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: Recall: v = can be written as v = ai + bj + ck , where i = , j = and j: . Let v = – 2i + 5j – 4k…

A:

Q: (w°t wz? -z) dw +(z² tw² -w) dz= 0

A: Let's find.

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

A:

Q: How do you take the integral of sqrt(1+(e^-x)^2)?

A:

Q: Let the region R be the area enclosed by the function f(x) = Va and g(x) = x. Write an integral in…

A:

Q: 11x +625 The average cost for a company to produce x units of a product is given by the function…

A:

Q: Question 12 V3 sin(0 + m) What are the solutions for the equation cos(o + 1) = 1,

A:

Q: (b) If a > b and c > 0, then ac > bc.

A:

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A:

Q: Evaluate xe*dx. -3

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A:

Q: find the inverse laplace tramsform 3/(s-2)^2+4

A:

Q: The graph of fis shown. Evaluate each integral by interpreting it in terms of areas. y y= fx) 6. 0.…

A: Given query is to find the value of the integral.

Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

A:

Q: Find a unit vector u in the direction of v = (2,-1,5) Ou-( 30 /30 1. u = 30 30 O None of these (4,1,…

A:

Q: What is the amount of material in a hollow cylinder of height 20 cm, given that the sum of the…

A:

Q: Find Ay and f'(x)Ax for y = f(x) = 2x – 1, x= 3, and Ax = 3. Ay = (Round to four decimal places as…

A:

Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x-5. Answer.

A:

Q: Question Using Trigonometric Substitution, evaluate: S e4*/1+ e2xdx Your answer

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

Q: First of all, what is the difference between implicit and explicit? How does it apply to our…

A:

Q: If f(x) = e*sinh x, what is f'(x)? e*(cosh x- sinh x) O Option 1 Option 2 e*(sinh x - cosh x) 2e2x…

A:

Q: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

A:

Q: Find dy and simplify whenever possible. dx 1. y = arcsin + 4-x2 2. y = In(e¯* + xe¯*) sin x cos x…

A: To find derivative of given function.

Q: t/3 cos e sin 20 de T/6

A:

Q: Find the volume of the region lying above the cone o = and below the sphere p = 7. (Use symbolic…

A:

Q: Find the maximum value of the function f(x) x - 9x2 + 15x- 5.

A:

Q: e" + e¯ cosh(r) : e - e sinh(r) 2 Use our rules for differentiating e" to show that cosh'(r) =…

A:

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X00 X-00 -5 + 2e-* f(x)…

A: The objective is to evaluate the limit.

Q: 3 37 Calculate L4 for f(x) = 24 cos () over [, *). %3D L4

A: The given function is: f(x)=24cosx3 The given interval is: 3π4,3π2 So, ∆x=3π2-3π44=3π44=3π16

Q: s the volume of the frustum of a cone whose upper base is 16 cm in er, lower base 10 cmin diameter,…

A:

Q: Solve the following initial value problem. dy 1 --X, x> 0; y(6) = 3 dx x2

A: