(b) In +8 x² 2 - 36

Q: Find the altitude of a rectangular closed box with volume 100 cubic inches with length twice the…

A:

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) = - g(x) 101 8- 2 0 -2 2 (a) Find p'(9). p'(9) =…

A:

Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

A: The objective is to find the value of the variable x, y, z by using crammer's rule.

Q: A region is bounded by the y=x² and y=6x-x2, Which of the following integrals would approximate the…

A:

Q: If = (-12,4,8) the position vector of u is.............

A: We know that if a=<x,y,z> then its position vector is a=xi+yj+zk.

Q: blanks 1 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is...... 4. If = (-12,4,8) the…

A: ssolution given below

Q: COS cos t 1 - sin t - dt

A: To evaluate: I=∫0π2cos t1-sin tdt

Q: For the given function f(x,y)=x²y³+3x³y, find a flay (A) 2xy³+9x²y B) 2+18xy C) 6xy²+9x² D 3x²y²+3x³

A: Topic = Derivative

Q: 3. y= (sec ³x + tan ²x)

A: Topic:- application of derivatives

Q: Simplify to an expression involving a single trigonometric function. Please show work so i can…

A: SOLUTION-

Q: ورد ه ی

A:

Q: Find a potential function f for the field F = 4y + 5z ( i + 4x j + 5x k). A general expression for…

A: Solve as general

Q: dy 3. dx + y = 2xy² ex

A:

Q: The water level inside a cylindrical tank (height 12 ft) is 2 ft below the top of the tank. If the…

A: Explanation of the answer is as follows

Q: Find the general solution of the following 2nd order differential equation: y* +2y + 2y = 0

A:

Q: Q4:Evaluate 1) lim (1-²) x-0 \sin x

A:

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: The objective is to find the appropriate integral to be used to find the volume.

Q: What integration technique can be used to integrate: A Trigonometric Substitution B Integration…

A:

Q: 1. Evaluate the integral: (a-1/3 - 2/3) da X

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: The graph of f is given. y 3 * X -4 2 (b) What are the domain and range of f−1? (Enter your answers…

A:

Q: (D³ + 2D² - 5D - 6)y=0; y = 0, Dy=0, D²y = 1, when x = 0.

A:

Q: (e) 2a7/2.a¹/2 a-1 (f) √₂√b a 5 √ab

A: As we know the Rules of Exponent or Laws of Exponents . 1). ax·ay=ax+y 2). ax÷ay=ax-y 3). axy=axy…

Q: HOMEWORK 16: Graph the following equations. 6. r = sin + 2cos² 0 7. r² = sin 20 - 3cos

A: we have to graph the given polar coordinates. let r is on x axis and theta on y axis.

Q: 9. f(x³ - 4x)dx -3 (x²-1) dx 10. ₂

A: We have to find the integral

Q: Evaluate 7/2 Iva each of the following:- √2 √ tane do

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Question 15 The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the…

A:

Q: 2. Limx cosx x-o sinz sin²x

A: The given limit,    limx→0x2cosxsin212x

Q: Problem 7 Ső S xvx² + 1 dx

A:

Q: 2 · S² f 0 Given f(x,y) = x²y-3xy³. Evaluate A-6y³ +8y/3 14y-27y3 B 6 6x² - 45x 4 D 2x² - 12x BARCE…

A: Given f(x,y) =x²y-3xy³ Now integration of 0 to 2 (x²y-3xy³)dx  = (X³y/3-3x²y³/2) limit 0 to 2 Put…

Q: Consider the function f(x) = 4xe-x². Identify the locations where f has transition points. (Give…

A:

Q: The region in the first quadrant bounded by the graph of y=8-x¹2, the x-axis, and the y-axis is…

A: The region in the first quadrant bounded by the graph of y=8-x32, the x‐axis, and the y‐axis is…

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.

Q: Let f(x) = 2x³-9x² - 24x+2. a. Find all points on the graph of f(x) at which the tangent line is…

A: Topic = Derivative

Q: y = x^ (Hint: First take LN of both sides and use implicit differentiation.)

A:

Q: Which of the following integrals would best approximate the area of the region bounded by y2-x=0 and…

A:

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION:

A:

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: let G={h: [0,1] approaches to R: h has an infinite number of derivatives). then G is a group under…

A: We need to find f inverse of (g) and show it is a coset of ker(f).

Q: 7. Evaluate the volume generated by revolving the area bounded by the given curves using the hollow…

A: The given curves are x=4y-y2, y=x.   Now find the point of intersection between the curves…

Q: (a) Find the parametric equations for the line segment that joins P(1, 0, 1) to Q(2, 3, 1).

A: Given, P(1,01), Q(2,3,1)

Q: Use the given information to find f '(2). g(2) = 3 and g'(2) = -2 h(2) = -1 and h'(2) = 5 g(x) h(x)…

A: Given, g(2)=3 , g'(2)=-2, h(2)=-1 , h'(2)=5, f(x)=g(x)h(x)

Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁ A 2²—4² B (√2-1)u² C8u² 3 (D)

A:

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: topic - inverse trigonometric ratios

Q: 5. y = 5 tan x³ + sec (3x)

A: Topic = Derivative

Q: ог Question A.) Does this CONVERGE • DIVERGE ? (~) ² M nal

A: To determine whether the given series converges or diverges.∑n=1∞ln n2n

Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: Use the elimination method to find all solutions of the system: [x² + y² = 7 x² - y² = 4 The four…

A:

Q: y" - 3y" + 3y' - y = x - 4ex

A: Let's solve diffrential equation.

Q: Let f(x) Calculate lim I-3- lim I→-3+ lim → 3 1 I +3 if x 3 - the following limits. Enter "DNE" if…

A: