f x 5 1x² =9) ² du for (x73)

Q: Evaluate the definite integral. 3 1₁(x-41 4|x) dx

A:

Q: lim f(x) = 5 and_lim_f(x)=5, but f(3) does not exist. X-3 X-3* What can you say about lim f(x)? X-3…

A:

Q: At how many points do the curves r₁(t) = ((t + 1)², — t² − 2t, t+2) and r₂(t) = (1 – t², t, t) -…

A:

Q: f" s [0, π]. Also, find the smallest value of x at which the average value occurs. Given that sin…

A:

Q: The graph of the function w = f(x, y) is shown below. (a) Assume that x and y are functions of a…

A: Given :w=fx,y

Q: V. Provide up to the 5th degree Taylor Polynomial of the given function: f(x)= xex by about x=-1

A: Given :fx=xe-xx=-1

Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(z² + y²) dA…

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

A:

Q: Consider the following. w = xy cos z, x = t₁ y=t5, z = arccos t (a) Find dw/dt by using the…

A:

Q: If f is a differentiable function and ƒ"(x)=x4+2x³− 15x², then f has an inflection point at

A:

Q: The temperature at any point (x, y) in a steel plate is T = 900 -0.7x² - 1.1y2, where x and y are…

A: topic- partial differentiation

Q: Evaluate 1) |x-2|dx

A:

Q: A turkey is cooked to an internal temperature, I(t), of 180 degrees Fahrenheit, and then is the…

A: Given that , Internal temperature =180°F what is the differential equation to solve for It.

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 18 and with its…

A: You need to understand the question by reading it properly and then draw the figure required for…

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

Q: Multiply and simplify. (1 + tan ß)² (1 | + tan ß)² = [ (Simplify your answer.)

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate…

A:

Q: nd the radius of convergence, R, of the series. ∞ (-1)^x" √n n = 1 nd the interval, I, of…

A: We have to find the radius of convergence

Q: Evaluate INIM -6 x³ dx √x²-9

A: To find out the definite integral.

Q: Consider the following function. f(x) = e3x² a = 0, n = 3, 0 ≤ x ≤ 0.1 (a) Approximate f by a Taylor…

A:

Q: Use a sum or difference identity to find the exact value of the expression. 7π 12 sin

A:

Q: [4x 4x csc (4x) cot (4x) dx =

A:

Q: (a) [2 2 2x dx

A: Note: As all are different questions, as per our company guidelines we are supposed the answer the…

Q: 2. A function is said to be if, graphically speaking, you can trace the entire curve without any…

A:

Q: 13. Express H(x): = 14. Express H(x) = 2x-1 as a composition of two functions f and g where H(x) =…

A:

Q: dy dx +²y=e*yª dx 4

A:

Q: If u(t)=sin(t), cos(4t), t > and v(t) = , use the formula below to find the given derivative. [u(t)…

A:

Q: A rectangle is constructed with its base on the diameter of a semicircle with a radius 18 and with…

A:

Q: • You will not receive credit if you submit your assignment late. P 1. ( Find the center, foci, and…

A:

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

Q: Dada la función f(x) = (a) Determine dy dx (b) Encuentre la ecuación de la linea tangente a x = 4 y…

A:

Q: The given family of functions is the general solution of the differential equation on the indicated…

A:

Q: Rewrite the following equation with the variables separated. 3xy' + 2y = sin(y). dy (sin(y)+2y) O O…

A:

Q: Find the general solution, y(t), which solves the problem below, by the method of integrating…

A:

Q: Determine the area between the graphs of the equations y=x and y=(x)^2-1. Integrate over the x-axis…

A:

Q: The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t²-5t…

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. $ n = 1 Identify an…

A:

Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…

A:

Q: √5-x² LIL -√5 Jo 0 5 I² +2² (x+y) dy dz da

A:

Q: P 2. Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the…

A:

Q: Find the Taylor or McLaurin series for the following functions f(x) = = x a=0 - 2x "

A: We have to find the McLaurin series for the given function.

Q: Question 4 Find r'(t) given the following vector function. r(t) = 2/³i+34j+37²k O r'(t) =…

A: We have to find out derivative

Q: (x³ + xy² + y)dx + (y³+x²y + x)dy = 0

A:

Q: Simplify. 2 sec 2 X 2 - 1

A:

Q: What is the general solution to y² tan(x) dy = sin(x) dx o y = √3 sin(x) + C o y = -√√3 cos(x) + C o…

A: Here we have to solve the differential equation.

Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)

A:

Q: Prove the identity. tan 0 1+ tan ²0 2 sin 20 To verify the identity, start with the left side and…

A: Basic question of trigonometry.

Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

A: