Find the arclength of the curve r(t) = (9√√/2t, et, e-9t), 0 ≤ t ≤ 1

Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

A:

Q: Find the area of the parallelogram whose diagonals are represented by the vectors a = (3,-3,1) and b…

A: As we know that; The expression for the area of the parallelogram with the diagonals a→ and b→.…

Q: During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity…

A:

Q: √ ¹ (1+√x)3 √x - dx

A:

Q: In Exercises 9-14, sketch the graph of the function. f(x) = 3x - 2

A: If f(x) is a function whose graph is known.  Then, the graph of f(x)+a will shift a units upward…

Q: Solve ydx + (dy - 3dx)√(1-x²) = 0

A:

Q: The average monthly sales volume (in thousands of dollars) for a firm depends on the number of hours…

A:

Q: Q15) The Parallel Postulate of Euclid is equivalent to: A) The Plane separation postulate B) Pasch's…

A: Solution

Q: 2. What is the average rate of change from x = 4 to 9 of f(x) = 200e-03x

A: We need to find average rate of change.

Q: Consider the function f(x) shown in the following image: Evaluate lim f(x). x-0- A B с D -1 0 1 Does…

A:

Q: (2) S dx x²√9-x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The point P(1, 0) lies on the curve y = sin( 13 (a) If Q is the point (x, sin(¹3″ )), find the slope…

A: Note :- “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Consider the function f: R²R given by f(x, y) = ³ + ² + 2xy + y2-y. Find and classify all stationary…

A: Here is the solution:

Q: Solve the differential equations 1. (3x²2y²)y' = 2xy 2. (y² - xy)dx + x²dy = 0

A:

Q: 4. Given f(x) = x² +3 and g(x) = -3x + 11, find the following a. f(g(3))

A: Concept: Composition of function: A function is composed when two functions, f and g, are used to…

Q: List the x values of the discontinuities of the function below: y = In (tan²(x)) over the interval…

A:

Q: Estimate the slope of the tangent line to f(x) = x³ at x=2 by finding the slope of the secant line…

A:

Q: J. (1+vx), √x dx

A:

Q: A company produces a special new type of TV. The company has fixed costs of $497,000, and it costs…

A:

Q: (6) The integrals represent the volume of a solid. Describe and sketch the solid. (a) √²¹2x³dx (b)…

A:

Q: Eliminate the arbitrary constant. y=Ax² + Bx³ 7xy "-x²y + 15y = 0 A (В) B (C) D x²y-7xy "+ 15y = 0…

A:

Q: thrown

A: Please refer to the image below

Q: Q8) (E.G.) Let ABCD be a cyclic quadrilateral and let O be the intersection of the rays AB and DC.…

A: Solution

Q: Find the composite function f(g(x)). 4. f(u) = 3u²+2u-6, g(x) = x + 2

A:

Q: The following image shows the graph of the function f(x)=√√4-x² A -2 B 6.27 square units 7.5 square…

A:

Q: Find a definition set (or domain) and value set for the following functions. 2) f(x) = sin √x ²-5 b)…

A:

Q: 3. Using the following table, find the average rate of change from x = 2 to 11 X f(x) -1 -4 2 4 4 8…

A:

Q: If plq-r)x+q (-p)x+rp-q) = 0 has equal roots, then prove that ² = 1,1 9 Pr pr

A:

Q: Evaluate each limit or state it does not exist a) lim 6x²-5x-1 x →1 2x² - x - 1 b). x²³_8 lim X-2…

A: a3 - b3 = (a-b)(a2+ab+b2)

Q: 4) 10 x-31=-40 31 + 2x=46 깃

A: As per guidelines we can answer only one questions at a time, so if you need more answer kindly…

Q: (1) f dx x3-2x² (2) S dx x²√ √9-x² (3) fx² sin x dx

A:

Q: Convert 3.2 ft2 to square inches

A:

Q: feature

A: Please refer to the image below

Q: What is the summation form of the Maclaurin series for 1/(sqrt(1-x2))? Hint: Find the first few…

A: Solution:

Q: if f(x) = x²√√In x² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x) = find the derivative of this function…

A: Given,            fx=x2lnx2xTo find : Find the derivative of the given function.

Q: Suppose F(x, y) = 9 sin() sin() - 9 cos( - and C is the curve from P to Qin the figure. Calculate…

A: Given that , F→x,y=9sinx2siny2i^-9cosx2cosy2j^      ......1 and the labeled points are P=3π2,-3π2 ,…

Q: 2. lim t-2 t²-7t+10 t-2

A:

Q: 5(4) + 3y(3) = 0

A: Let's solve given differential equation.

Q: Closed book, closed notes, no calculators. You have to show complete work for full credit; make sure…

A:

Q: Evaluate the following definite integral. 6 Ste¹(-i-j+k)dt 0 Select the correct choice below and…

A:

Q: Q2: Find dy/dx for the following functions:- (2) y = √sinh √tan x (3) 4x² + 3xy-xy² = 0

A: Given:- 2) y=sinhtanx 3) 4x2+3xy-xy2=0 To find:- dydx of given functions

Q: Find the domain and sketch the graph of the function

A:

Q: f In dx

A:

Q: A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the…

A: This question can be solved using the concept of functions and its domain.

Q: Use the difinition of error function Prove that: 5(1/₂/2) = 5T let: ere (x) = 33/3324 dt

A:

Q: A. Complete the table below 1. 2x Given - 3x² = 5 2. 4 – x2 = 5x 3. (2x + 5)(x-4) = 0 4. 2x(x - 1) =…

A: Let's solve.

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: You have $1,000 to deposit in the account for 1 year. Compare the following two offers. • Bank of…

A: The answer provided below has been developed in a clear step by step manner. Step: 1 A) Interest…

Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

Q: 2. Solve the Differential Equations. (y² - xy )dx + x² dy HO

A: To solve the given differential equation.