DE = ST D Given: Find: B wher ~ADBE. AC = 16, CB = 10 E is the midpoint of CB DE (Hint: Let DE = x, and solve an equation).

Q: Simplify 2cos^2(1/2x) -1 = ?

A: We will find the value of x in this question.

Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = −2

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Velocity is obtained by differentiating f(t)

Q: Q) Using the properties of logarithms, find the derivative of the following function (x²-1) √x + 1 y…

A: By using the properties of logarithms, to find the derivative of the following…

Q: 2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this…

A:

Q: Consider the following figure. B A A D Given: AABC, whose sides are 25 in., 17 in., and 26 in. Find…

A:

Q: 3x²y dx - (x³ + y³)dy = 0, y(1) = -2

A:

Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

A:

Q: The table to the right shows the marriage and divorce rates per 1,000 population for selected years…

A:

Q: 3. Consider the function f(x) = -{2 if x = Q -r³ if x # Q. Prove that f'(0) = 0. Hint: Apply the…

A:

Q: i) The terminal arm of θ contains the point P(x,y) where P is on the unit circle. If sinθ = 1/2 and…

A:

Q: 10. What is the constant multiplier to complete the integrand in terms of u for dx? x +3 A) B) C) 4…

A: 10. The given integrand ∫x3x4+3dx11. The following integral is equal to 54.

Q: x= 2y2-2y y 0 x = 12y² — 12y³ - X 1

A:

Q: Find the volume of the solid generated when the region enclosed by y = -√√x + 1, y = 0, and x = = 2…

A:

Q: The graph to the right is a graph of a polynomial function. (A) What is the minimum degree of a…

A: Given Graph:-

Q: A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of…

A:

Q: Find the value of k so that the given differential equation is exact. (7xy³ + cos(y)) dx + (2kx²y² -…

A: Given

Q: Find an antiderivative F(x) with F'(x) = f(x) = 8+21x² + 10x4 Remember to include a "+ C" if…

A: This question is based on indefinite integral.

Q: Suppose s(t) = 12t2t² on the interval [ What is the distance traveled on [1, 5]? Ο Ο 08 O 10 O 16

A:

Q: 4.[(5x³ 5.Ĵ(6x² − 2x² +4x)dx − 3x+1)dx

A: Topic = Derivative

Q: Solve the given differential equation by separation of variables. dy e5x + 4y dx =

A: Given :dydx=e5x+4y

Q: A population of 470 bacteria is introduced into a culture and grows in number according to the…

A: Given problem:- A population of 470 bacteria is introduced into a culture and grows in number…

Q: If a circle has a radius (r) with an indicated arc length of 34ℼ, and two central angles of aℼ/15…

A:

Q: 112 Evaluate Inverse Matrix A-1 = -1 2 1 -2 1 3

A: Given :A=112-121-213

Q: give the integral of volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0…

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: A and B are subsets of R (set of reals) Let A be a non empty subset of a bounded set B. why does inf…

A: SOLUTION-

Q: Se ³ Sin xde Secus ad x X

A:

Q: Determine the interval(s) on which the given function is increasing. 6 3 2 1 -5 4 -3 -2 0 4 0…

A: Use graph

Q: 2. lim x-1 X f(x) x-1 √3 0.9 0.99 0.999 1 ? 1.001 1.01 1.1

A: Given problem:- limx→12x-1-3x-1 Evaluate limit using table

Q: x+1 by using the definition, find the derivative of f(x) = x+4

A:

Q: 1. Which of the following is the reverse operation of [f(x)]? dx A) f f(x) dx B) Jdx C)f cdx D) dx…

A: Topic = Integration 1) A 2) A

Q: Find the solution of the given initial value problem. y’’+y=0,     y(π/3)=2, y’(π/3)=-4 topic:…

A:

Q: Q2. Let u = (2,-1,1) and v = (3,1,0). Find the following: 1) |2u - v| 2) u ov 3) The angle between u…

A: Given

Q: 3. Which of the following is equal to fu" du? A) un+1 +C u"+1 B) +C n+1 C)n(u)n+1 +C D) + C 11-1 4.…

A: Topic = Integration 3) B 4) A 5) B

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.13 L, replace with water, mix,…

A: As per bertleby guideline I have to solve only first question or first three subparts. So for answer…

Q: Evaluate the integral. x² - 81 | V=² x x² - 81 | Vx² x √x². 81 X √x². 81 X x² - 81 X 1² 1² - dx = -…

A:

Q: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

A:

Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

A:

Q: A can is dripping out water at a rate of r(t) = 12/17 If the can held 50 cm³ of water at time t = 1,…

A: If rt is the rate of dripping out water from a can then volue of water dripping out after t time is…

Q: Which of the following relations is a function? {(1, 9), (2, 4), (2, 3), (4, 15)} {(2, 7), (7, 9),…

A: Given

Q: I need the third derivative for all of the following functions: f(x)= 1+X f(x) = -=-=-=-=-x 1-X €(x)…

A:

Q: 3. Which of the following illustrates the Fundamental Theorem of Calculus? A) value at lower limit…

A:

Q: Evaluate the integrat. Sa dx су-хууг dx

A: Given :∫14-x22dx

Q: x Cos y Q7. Let f(x, y) = ye ²x + Find fxyx (0,1). √√y² +1 dy dz Q8. If z = x² + 3y, x = sint and t²…

A:

Q: What is the coefficient of x squared in the expansion of (see attached image)

A:

Q: The graph of the function g is formed by applying the indicated sequence of transformations to the…

A:

Q: Find the area bounded by the graphs of y = cos x and y = x² y=x² y = cos x + X

A:

Q: Ten international students who include four males and six females are friends. Each of the four male…

A: Number of ways of choosing r elements from n element is Crn

Q: Suppose an object moves along a linear path according to the velocity function v(t) = 3x² - 2x,…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: