$ 1 b) y = √√x lad

Q: Question 1 Given: y' + y = y²(cosx - sinx)and y(0) = 2, Find C OA.0 OB. 1/4 OC. 1/2 OD. 3/4 O E.…

A:

Q: Calculate the derivative: (6t4 - 7t) dt =

A: To find the Derivative.

Q: Please show your answers to at least 4 decimal places. Suppose that ƒ(x, y) = x³y². The directional…

A:

Q: 3. Find the largest domain (in R2) for the function In(y-1) √x f(x, y): =

A: The given function fx,y=lny-1x We have to find the domain of fx,y

Q: 9. A trough is formed by bending a 4m wide piece of metal into segments as shown. What angle 0 will…

A:

Q: Let g(x) = f f(t) dt, where f is the function whose graph is shown. Answer the following questions…

A:

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 4y and y³ = x with y…

A:

Q: Assume that the level surface equation x3+y3+z3+6xyz = 1 defines z implicitly as a function of x and…

A:

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: We have to solve the integral  ∫22x3-44x2+2x2-2xdx

Q: Question If r(x) = ln Select the correct answer below: O r'(x) O r²(x) O r'(x) = = (32² +2+3), find…

A:

Q: ay ax px + y X

A:

Q: the above graph is the graph of f′(x), then f(x) has a local maximum at x=___, a local minimum at…

A:

Q: Use logarithmic differentiation to find the derivative of the given function. 2 sin a y = x² s

A:

Q: 2 Given y=x² +5X-8 as X changes from 1 to 1.2 from 1 to 0.8 Find Ay and Ay Ax

A: Answer in step 2.

Q: Given: y2 + t2 + (e2y + 2ty)y' = 0, and y(1) = 0, Find: C (constant) OA. 1 OB.O O C. 1/2 OD. 1/4 O…

A:

Q: Prove that the resulting series when x = 0 is conditionally convergent in the power series +00 (3x -…

A:

Q: Pick any three vectors u, u, and w (e.g., u = (2,-1,2), = (-3, 4, 0), = (1, 3, 2)). Determine the…

A: Givenu→=2,-1,2=2i^-j^+2k^v→=-3,4,0=-3i^+4j^+0k^w→=1,3,2=i^+3j^+2k^

Q: Find the limit. -0.4 lim X-6-X-6

A: Given; Limx-6-  -0.4/(x-6)

Q: Sketch the graph of the function by making a table of points. (Round your answers to two decimal…

A: Given data:- y = e-x3 x y -6   -3   0   3   6

Q: Define R as the region bounded by the functions f(x) = 1 and g(x) = e between x = 0 and x = 1. If R…

A:

Q: 1. a. dt Evaluate the int

A:

Q: 2 9143

A: To solve for x to the following equation.9x2=0

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y-ay-1 and…

A: Given that the solid base is the region in the first quadrant bounded by y=x4,y=1 and y-axis and…

Q: For what values of x is the tangent line of the graph of f(x)=10x^3-75x^2+118x+90 parallel to the…

A:

Q: The average price of a two-bedroom apartment in downtown New York City during the real estate boom…

A: Topic - Functions and application of derivatives We are given, p(t)=0.32e0.16t million dollarsp(t)…

Q: Calculate the gradient of f(x, y) = xy at (x, y) = ( − 2, 2).

A:

Q: x + 1 x-1 1. Given: f(x) a.) solve: (fog)(0) = and g(x) = x-3 x + 3 b.) Find the domain of f,domain…

A:

Q: 2. Given that f(x) dx = 6,ƒ(x) dx = 3 and ¹₁ f(x) dx = -1, 1/³ + f(x) 2 find + 6 dr.

A:

Q: 2. Use integration by parts (showing all working) to find the Gini coeffi- cient when the…

A:

Q: 7. (a) How many committees consisting of 4 people can be chosen from 9 people? (b) Redo part (a) if…

A: (a) 126 (b) 70 For detail...go through the solution......I have solved step by step in detail

Q: (w³ + wz² − z dw + (z³ +w²z − w)dz = 0 3 3 - -

A:

Q: Use the properties of logarithms to expand the logarithmic expression. Submit Answer x - 67 X X

A: Expand the logarithmic expression.

Q: Find the critical point(s) of the function f(x, y) = x² + y² − 40xy. Enter your answer as an ordered…

A: To find the critical points of the function fx, y=x4+y4-40xy.

Q: Find the equation of the tangent line to the function f(x) -2x³ - 3x² - 2x at the point (-1,1). Give…

A: Equation of tangent line to fx=-2x3-3x2-2x, at -1, 1

Q: Differentiate the given function using the appropriate rule(s). Your answer does not have to be.…

A:

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: The extreme value problem with both a maximum and a minimum value.Use Lagrange multiplier to find…

Q: Use the binomial theorem to expand the following: (a) (x + 2y)* (c) (3x + 1)4 (b) (x - y)6 (d) (x +…

A:

Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: To find out the solution of the differential equation.

Q: 7. Use linear approximation to approximate the value of 82 without the need for a calculator.

A:

Q: comparinson between  Exact and Non-Exact Differential Equation

A: The objective of the question is what are the exact and non exact differential equations.

Q: Given: t + y² + (4y3 + 2ty)y' = 0, and y(1) = 0, Find: C (constant) O A. 1 B. 0 O c. 1/2 OD. 1/4 OE.…

A: Given t+y2+4y3+2tyy'=0 and y1=0

Q: Find the indicated derivative. 1 - 2x² x4 - 2x² + 6 dy dx || dy dx for y =

A: I am attaching image so that you understand each and every step.

Q: What values of a and b make the function f continuous everywhere? x² - 4 a = f(x) = " X 2 ax² - bx -…

A:

Q: R is the region bounded above by the graph of f(x) = 5x - x² and below by the x-axis over the…

A:

Q: Question 4 Given: y'- y = xy5 and y(0)= 1, Find C OA.0 OB. 1/4 OC. 1/2 O D. 3/4

A:

Q: (a) Ivan bought 14 pounds of flour for $8. How many dollars did he pay per pound of flour? dollars…

A:

Q: 2. Expand. (a) 2+² (b) e-lnx (c) log3 (2xy)

A: Use laws of surds and indices

Q: the third Taylor polynomial for f(x) = expanded abc= 3(x)=7-7(x-1)-14(x-1)²-7(x-1)³…

A:

Q: Determine the type of DE (select all that applies): y'=x - 4xy Exact Linear None of these Separable

A:

Q: Given 2y-√x-z+2√-5y-4z = -5, calculate Provide your answer below: || dz dx

A: