The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C

Q: Solve. 1. Find the equation of the family of curves whose slope at any point (x, y) is 3x. 2.…

A:

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A:

Q: cos 3t dt 5 + 3 sin 3t Ocos 3t

A:

Q: y = log sin x (csc 4x)

A:

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√/s s4

A:

Q: differentiate the function R(q) = 9lnq

A:

Q: What is the value of a such that the function y = 2x4 - ax² + 3 has twin global minima at x = -3 05…

A:

Q: S dx √4x² - 49 x > 7

A:

Q: 2. Evaluate da da dr d. 1/2/3+2/²+1/+1 f. 2√x+3+x

A:

Q: USING DISC METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

A:

Q: conver the Following differential equation into a Perfect equation and then find 1+5 general…

A:

Q: 6.) I. Simplify. Write "undefined" for expressions that are undefin -3 -6 -2 6 619 1 4 -4 -4

A:

Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the adjacent side is equal to?

A:

Q: Given the points P(2, 1, 1), (0, 4, 1), R(-2, 1, 4) and S(1,5,-4)

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4t 11t…

A: We have to find velocity

Q: Determine the values of r for which the differential equation y" - y = 0 has solutions of the form y…

A:

Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

A:

Q: The ellipse + 1 can be drawn with parametric equations where (t) is written in the form 4²2 r(t) = r…

A:

Q: A rectangular metal tank with an open top is to hold 864 cubic feet of liquid. What are the…

A: SOLUTION-

Q: 6) F(x, y, z) = (xy²z4, 2x²y+z, y³z²) a) Find curlF. b) Find divĒ.

A:

Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1-6 0 {}} 4 3 5 3 4.) +

A: To simplify the given expression.To write "undefined" for expressions that are…

Q: ¹In(1 + x) -dx X

A:

Q: A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal…

A:

Q: If s(t) = 4t³ - 6t² - 24t + 5, where t> 0 represent the position of a particle traveling along a…

A:

Q: 7) Use the double integral of a cross product to find the surface area of x = z² + y that lies…

A: Let's find surface area  by using double integral.

Q: L{f(t)} f(t) = e-t sin t = (s> -1)

A:

Q: Tiffany has the following coins in her piggybank a 1cent, 5cent, 10cent, 25cent, 1 dollar and 2…

A:

Q: 4x Compute the values of dy and Ay for the function y = e + 3x given x = 0 and Ax = dx = 0.02. Round…

A:

Q: Evaluate the integral and it gives x x 2 sin+cos sin²x 2 dx 2 In | csc (1/2)x-cot (1/2) x | + 2 csc…

A: The given integral is ∫sinx2+cosx2sin2x2 dx=∫1sinx2+cosx2sin2x2 dx=∫cscx2+cscx2 cotx2…

Q: Question 6. At what value/s of x will the function y = O x = 0 O x = -3 O There is no point of…

A: Let's find inflection point of given function.

Q: Are Lebesgue integrals always finite?

A:

Q: Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

A:

Q: convert the Following differential equation into a perfect equation and then Find its general…

A:

Q: Kindly answer the question and provide a clear and correct solution. If I still get wrong…

A:

Q: 5. I. Evaluate each determinant. -2 -1 4 2

A: Finding the value of determinant

Q: A rocket is fired vertically upward from the ground. The distance in feet that the rocket travels…

A:

Q: If s(t) 813 122-48t6, where t2 0 represent the position of a particle traveling along a horizontal…

A:

Q: (b) the volume of the solid B that lies above the cone z = 3r² + 3y² and below the sphere x² + y² +…

A:

Q: Sketch the function f(x): x² +1 4x²-9

A: We need to sketch the function.

Q: Find the length of the spiraling polar curve r = 7e²0 From 0 to 2π. The length is

A: We will use the length formula of a polar curve on a given interval.

Q: Let f(x, y) = 10-3r² +4. (a) Find the gradient Vƒ(2,-3) of f at the point P(2,−3). (b) Find the…

A:

Q: 2x² + x + 3 x³ + x dx In[x] + In (x² + 1) + tan^³(x) + C Option 1 3 In]x] +In (x² + 1) + tan¹(x) + C…

A:

Q: Use the power series method to solve the given initial-value problem. (Format your final answer as…

A: Concept: Power series: To find a power series solution to specific differential equations, the power…

Q: 3. I. -1 2 Evaluate each determinant. 5 3

A: Given,-1523

Q: hich point is on the line parametrized by the following? (-1, 2, 3) (3, 2, 0) (0, 0, 0) x = 3-t y =…

A:

Q: 2x²+3x+1 x-1 f(x)=3

A: Given problem:-

Q: conver the Following differential equation ihto a 1+S Perfect equation and then find general…

A:

Q: Find the missing value that makes the following a factorable trinomial. Explain the process you used…

A:

Q: Given the function y = f(x) defined at all real values of x. Let x = 2, 3, 5 and 7 are critical…

A:

Q: ||. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 3 4 D = 6 -3 2 3 8 9 3 2 ㅋ

A: Let's find cofactor of 6 in matrix D.