π S xsin xdx

Q: In(t³ + 1) + t³ + 1 r(t) = 4: then the limit lim r(t) equals 1-0 -i-(4e-²¹-5e²¹)j- - sin³t -k, 13

A:

Q: A rental company charges $65 a day and 20 cents a mile for renting a truck. Michael rents a truck…

A:

Q: Based on the given graph, determine the zeros of the function and note multiplicity (even or odd).…

A:

Q: Find the general solution of the differential equation. y"" — 17y" +82y' — 120y = 0. NOTE: Use C₁,…

A: Here we have to solve the differential equation.

Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

A:

Q: f (x-2)(x+1)' dx

A:

Q: A police car is located 40 feet to the side of a straight road. A red car is driving along the road…

A:

Q: Let u = (4,-1,-1) and v= (2,-2, 2x + 1) be two vectors in space. Find alle ER such that u and v are…

A: The given vectors are u=4,x-1,-1 and v=2,-2,2x+1

Q: 10. Given the complex function 1+z z² Evaluate f (₁¹) A. 1 + 3i f(z) = B.-1-3i = C. 1-3i D. -1 + 3i…

A: Given that a complex function - f(z) = (1+z)/z. And we find f(1/(1-i)). Here i = "iota" that is an…

Q: If limx-5 f(x) = 4, limx-5 g(x) = 2, and limx-5 h(x) = 18, what is the value of lim x-5 4f(x) + g(x)…

A:

Q: +∞ 1+ sin² n 10n n=1

A:

Q: Let 2 = (y - 2x) ³, where x = s²t and y = st². Use the Chain Rule to find when s = 2 and t = -1. Əz…

A:

Q: = 2√/16 - x² - y2, then the domain of D = {(x, y) x² + y² ≤ 16}. 2

A: We have to choose the correct option from the given options according to the given information

Q: If we use the trigonometric substitution sec(x) 5 then we get t = √25t² - 1=tan(x) Select one: O…

A:

Q: Work Problem 1( Let z=(y-x)³, and as(1 t) and y = st². Use the chain rule to compute da and da da

A: Given problem:- Here  z=(y-x)3  And x=s(1-t), y=st2  find using chain rule zs and zt

Q: Work problem 3 Given the vector function F(1) = (51³ — —, sec —7, sec(3 − 1)) - then find the…

A:

Q: 1. Let f(x, y) = y³ + x³ - 2/1y²-3x+30y. (a) Find all the critical points of f. (b) Determine…

A:

Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

A: To use trigonometric substitution to evaluate the integral. ∫x38+x2dx

Q: Evaluate foxe*² dx . 2 0 a. b. OC. O d. 9 =/12 + C 2 2 (e⁹-e) + C (e⁹-1) + C (eº-x²) + C

A:

Q: Use the method of undetermined coefficients to solve the initial value problem. 33 y ==cos2t 10 33…

A:

Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…

Q: Find the difference quotient for each of the following functions and reduce to lowest terms A.…

A:

Q: Jo 1 X dx =

A:

Q: Let z = √7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2.

A:

Q: 11 1 2 (x-3)/3 -dx

A:

Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5²- Find the domain of f. Show that the limit…

A: To find out the domain

Q: - 2. (x²y² + xy + 1)ydx + (x²y² − xy +1)x dy = 0

A:

Q: S sin² 2xcos² 2xdx

A: This question is based on indefinite integral using Trigonometric formula.

Q: if a = (3, 2, 9) and b = (-4, 7, 2), find a • b.   a) a • b =-9   b)  a • b = 19   c)  a • b =…

A: In this question we have to find the value of a·b

Q: Question a) b) Let f(x, y) = 2√x - y²e-²xy + ²². Find fx and fy. Evaluate fxxy(4,-1).

A:

Q: 2x² + 5x-1 x³ + x² 3 -dx x² – 2x

A:

Q: 4. Graph the equation: f(x): = 1, -2x + 4, -2, -3≤x≤0 0 ≤ x ≤ 3. x > 3 -1 5+ 44 3- 2+ +1 -1- -24 -3-…

A: This is a graph of piece wise function

Q: Given A = -1 0 22]₁ compute 3A

A:

Q: The area bounded by the x-axis, y = x², and y = 2 - x.

A:

Q: Which of the following is a valid expression for cos ¹ x? 04-sin-¹ a 01/2+ + sec¹ a 1 sec-1 01-…

A: The given expression is cos-1(x)We have to find the valid expression for cos-1(x)

Q: √x +3 xy + 7 y). If f(x, y) = the domain of ƒ(x, Select one: True O False then the point (1, −7) is…

A:

Q: Evaluate the following integral: sin²(a) da

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=√x. The…

A:

Q: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

A: To find out the given partial derivative.

Q: If and x = 2t, y = 5t, then the value of equal to 12. z = x - 2y, Select one: O True O False dz dt…

A: Given that , z=x-2y and x=2t , y=5t find dzdt at t=3.

Q: Use the given conditions to find the values of all six trigonometric functions. (If an answer is…

A:

Q: Find the general solution for the differential equation: (2xy²-2y)dx+(3x²y-4x)dy=0

A: Given :(2xy2-2y)dx+(3x2y-4x)dy=0

Q: 1 a. (x + 1) dx = 35 2 b.7 27 - C. 2 d. -17.5 1/0

A:

Q: x = 9 tan 0 is an appropriate trigonometric substitution for the integral Select one: O True O False…

A:

Q: Find where it increasing and decreasing x^5-2x^4+3x^2-5x+

A:

Q: Find lim X-0 √x² + 100-10 x²

A: We will find the value of the limit in the following step.

Q: tify the intervals where f is increasing, decreasing, concav ard and concave downward. Identify all…

A:

Q: Use Leibniz's rule to find dy dx dy dx for y= 8x-1 √ (t4-5) dt.

A: Concept: Newton Leibniz Theorem : Newton Leibniz A formula for differentiating a definite integral…

Q: 1. (x³y³ + x²y² + xy + 1)ydx + (x³y³ – x²y² - xy + 1)x dy = 0

A:

Q: E A4 sin (e-² + ln z) + C 4 sin (-e-²) + C B O A § 4 (½ − e¯²) cos (e¯² + Inz) dz B E None of the…

A: