Find the instantaneous rate of change of y at xo = 2 8 X-5 with respect to x

Q: 3) f(x) = 1+2 (a) Find f'(-2).

A: Given query is to find equation of the tangent.

Q: pls solve the laplace transform of this function. you can use the table of laplace transformations.…

A: To solve the laplace transform of this function.sin0.5t cos3t

Q: If f(1) = -2 and f'(x) ≥ 1 for all x € (0,1), then the largest possible value that f(0) can take is

A: Let's find largest possible value that f(0).

Q: Problem 4 (a) Find an equation of the tangent(s) to the curve at the given point x = t³ t, y = e²t +…

A: To solve the following problem

Q: 13. Find the area of the shaded region. 3 2 0 5

A:

Q: 5. Given the region R on the right, use vertical strip, SET UP the double integral that will solve…

A:

Q: 4. Find the area bounded by the curve y = 4 - x² and y = x4-2 on the right of the y-axis. Sketch its…

A:

Q: If you are having a hard time seeing the picture clearly, click on the picture. It will expand to a…

A:

Q: 8 00 Σ n=1 4 2 5n+20n+15

A:

Q: Solve

A:

Q: 1) Find lim f(x) if f(x)= x→0 2) ²-81 x 9 +9 = ? lim r 3) Find lim 25x²-4 1- Sở t2 11x sin x (Hint:…

A: Question 1,Given,            limx→0fx if fx=11xsinx

Q: Phyllis invested 39000 dollars, a portion earning a simple interest rate of 4 percent per year and…

A: Begin by defining variables: x = Amount invested at 4% y = Amount invested at 7% Using the…

Q: 1) ( solve the following system using the Inverse Matrix method of Assignment 24. Clearly show the…

A:

Q: pls solve the inverse laplace transform of this function. you can use the table of laplace…

A: The given function is; ((s-1)/(s2 -2s +5))

Q: iii. Find an expression for f(a)

A:

Q: Introduction to Calculus in Physics: Calculus is a powerful tool used in all areas of physics. One…

A:

Q: Find the Taylor series of f(x) = 1 x3 center at a=4

A:

Q: Show that g: R → R defined by g(x) = (x+3)³. (a) Prove that g is bijective. (b) Find the inverse g-¹…

A: to prove  g is bijective ,prove g is one one and onto.

Q: Use Newton's method to approximate a root of the equation 3x^(7) + 2x^(4) + 2 = 0 as follows. Let…

A: The given function is: 3x7+2x4+2=0Initial approximation is:  x1=2

Q: B. A photographer is stationed 250 feet from the base of a tall tree. She observes a koala bear…

A: Let x and y denote the distance between the photographer and the base of tree and the height of the…

Q: Find the general solution to the given equation -22-5y=0

A: To find the general solution of given differential equation

Q: 11. Describe the transformation and determine the domain and range of the function h(x) = 5-2¹.

A:

Q: 6. Find the general solution of the differential equation given below y' = ex-y 2ex-ey, y(0) = 0

A:

Q: • xª ex+ln2x³ x² b. S dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: XXXI 1: GLY (23

A: Given query is to find statement is true or flase

Q: You and your friends started industrial training in one of Megah Holding's branch last month. A…

A:

Q: For each description, create an equation: (a) for logarithmic decay where the base is 10 (b) for…

A:

Q: Question 3 y" + 2y = xexy(0) = 6 y'(0) = -1 Use the editor to format your answer

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: a²f A- Let f(x, y) = sinx+ x5y + In(1 + y2). Find ах ду B- Use the Chain Rule to find the derivative…

A: Given :A.fx,y=esinx+x5y+ln1+y2B.w=xy

Q: 5. Define f: R→ R and g: R → R defined by f(x) = max{-x, x} and g(x) = |x|, respectively. Prove that…

A: Given that  f:ℝ→ℝ and g: ℝ→ℝ defined by f(x)=max{-x,x} and g(x)=x.

Q: Find the absolute extrema of the function f(x) = 2x³ - 3x² - 12x + 2 on the closed interval [-2, 3].…

A: The given function is; f(x)=2x3-3x2-12x+2 on interval [-2,3]

Q: Find the time required for a principal of $1,650 to grow to $2,000 if interest is paid at an annual…

A:

Q: 4) y = sin(0-2) - 3 3r 2 一 J 2 31 2 1 =1 π 2 2 B EN 3 2

A: We have to graph the given function.

Q: If F(x) = ∫x-x et^2 dt, find f(x), where F is the antiderivative of f.

A:

Q: Determine if the improper integral diverges √ √-e-* dx Provide your answer below: converges. If it…

A: Integral

Q: Evaluate √ √(2² + 2y) dA where R is the region between y = z² and y = √2. Specifically, (b) Evaluate…

A: To find:- ∬Rx2+2ydA

Q: For the function f (x) = −7x3 − 2x2 + 3x, Step 1 of 2:  Find the slope of the tangent line at x =…

A: Given that f(x)=-7x3-2x2+3x

Q: (V)Determine whether the equality is true or false Select one: O True O False Give your reasons…

A:

Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal…

A:

Q: Evaluate the integral. Check your result by differentiation. (Remember the constant of integration.…

A:

Q: A. Find the value of x in each given figure. 3 1. 24 2.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: In this question, we will approximate 83 with a rational number. a)To use the linear approximation…

A: To solve the following problem

Q: Evaluate SSSs xy sin (yz) dV if is is the rectangular parallel piped bounded by the planes X= 1₁Y =…

A: A detailed solution is given below.

Q: The electrical resistance, R, of a wire varies directly as its length, L, and inversely as the…

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: a. ∞ Σ n=1 4 2 5n+20n+15

A: given series is                ∑n=1∞45n2+20n+15then we have to check it is convergent or not  now ,…

Q: 2. If w In(4xy) = 2 - cos(2yz — 3), x = log(t), y = = : 4eª² and z = sin(ț³ – 1). Find dw dit

A: GIVEN THAT  w = ln(4xy)z2  - cos(2yz-3)and  x = log(t)  ,  y = 4et2  and   z = sint3-1then we have…

Q: 1 ƒ' (x) if ƒ (x) = x ln(tan x). f In(tanx) + x sec² x cotx sec² x cotx ) ln(tan)+cot ) ln(tana)+2…

A: Given query is to find indicated derivative.

Q: QUESTION 25 Differentiate with respect to x: f(x) = ln(x) cosh (x) O 1 coshx O f'(x) = = coshx f'(x)…

A:

Q: First find f + g, f- g, fg and f(x) = 6x +3, g(x)=x-2 (f+g)(x) = (Simplify your answer.) (f-g)(x) =…

A: Given query is to perform Indicated function operation.

Q: Evaluate the expression -3 ln(e² + 1) - 5. Show each step in the calculation, using the correct…

A: