3. Calculate the inverse of the following functions: a. f(x) = 6+x 7 3 b. f(x) = 2-x

Q: f(x) = t^2(t - 7)^1/3.   Find all critiacal points and all relative maxima

A: Solution is given below:

Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x² − 3y-4…

A:

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. y 0 4 5 16 7 8 9…

A: Given

Q: Use the root test to determine whether the series 2n 4n + 9 converges or diverges. 9n + 2 n=1 Since…

A: Root test : Suppose that we have series ∑ an .Define,                 L = limn→∞ ann = limn→∞ an1n.…

Q: The ghien matrix is an augmented mutris representing a system of linea equations. Write the matrie…

A: To find the reduced row echelon form of the given augmented matrix .

Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…

A:

Q: g(x) a b Suppose g(x) = f(x) +3 a= 2 and b=7 Compute the area between fand g using 2 and 7 as your…

A:

Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: 3. For the double integral [['sin(y) dydz I (a) Sketch the region of integration. (b) Change the…

A: Given; I=∫01∫x1siny2dydx   As we know that; ∫sinxdx=-cosx+C

Q: Find the future value of a $30, 000 annual income stream if it is invested immediately as it is…

A: Solving the problem by finding the value of compound interest.

Q: Given the function f(x) = -1+52², calculate the following values: f(a) = f(a+h) f(a+h)-f(a) h =

A:

Q: Select all of the following graphs which are one-to-one functions. 3- D 0 O eie 2 1 --5-4-3-2-1 -1…

A:

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t)= -0.009t² +0.8t where…

A: Given

Q: Find the exact value of each expression by applying trig formulas (Addition and Subtraction…

A: We have to find the exact values.

Q: x y 2) W = + , x= cos² (t), y = sin²(t), z = =, at t = 3 3) w = 2 ye* - ln(z), x = ln(t² +1), y =…

A:

Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

A:

Q: 3) 4) f(x, y) = (xy-1)² 2 f(x, y) = √√x² + y²

A:

Q: 1 0 0 1 -1 1 -1 1 1 1 0 a) Find A-¹. b) Write the corresponding elementary matrix for each row…

A: We will solve the given question using the inverse matrix method To find the inverse of matrix A…

Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

A:

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

A:

Q: the slope intercept equation of a line that passes through (0,-6) and (3,-4) is

A: Given points are (0,-6) and (3,-4)and here (0,-6) is (x1,y1) and (3,-4) is (x2,y2)We know the slope…

Q: Find the gradient Vf at the given point, and compute the directional derivative of the function in…

A:

Q: As shown in the figure below, Mai is standing 100 feet from the base of a leaning tree. The tree is…

A:

Q: 82. lim (1 + 10)²

A: Explanation of the answer is as follows

Q: 1. y = 3x? – 2x4 - 3x3 + − − 2x + 1; y(4) - 8

A:

Q: Find the Taylor series of the function at the given center a. f(x)=x³-5x, a=2

A:

Q: Solve for the limit of the following limits functions. Write your answers in simplest forms. If the…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 34 ft3/min and its coarseness is such that…

A:

Q: Question 6 Differentiate: y = arccot (x) + arctan 2 + x 1 - 2x 0 1 (E) None of these O:2x O 1-2x

A:

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

A:

Q: a) Graph the function f(x)=x² + 2x b) Draw the tangent lines to the graph at the points whose…

A:

Q: Find the curvature of the curve. r(t) =<2t, - 3sin t, 3cost)

A:

Q: Find an equation of the plane that is passing through the point and is perpendicular to the line L.…

A:

Q: ) Encuentra la inversa de la función f(x) = 4x² – 1 3x² = x < 0.

A: The given function is f(x)=4x2-13x2 We first replace f(x) with y. y=4x2-13x2

Q: Find the area of the shaded region. f(x)=8x+2x²-x³, g(x)=0 The area is (Type an integer or a…

A: Here we have to find the area of shaded region.

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +3 1 = lim t+ (?, ?) 8t2 +9'2t

A:

Q: 1/(x) = ² x ³² - 2² x ³² + 4x +4x. Find 12. Given the function All critical points of f(x) (b) The…

A: f(x)=13x3-52x2+4xa) Differentiatef'(x)=13.3x2-52.2x+4f'(x)=x2-5x+4For critical points…

Q: 3. x³ = x + 2y x-2y " y'

A:

Q: y = (1 - √√x)³; y(3)

A:

Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: Using integration by parts, which of the following options is true of Sx arcsec x dx? Ⓒ / x ² arc A…

A: To use integration by parts for ∫x sec-1(x) dx

Q: Use the given velocity function and initial position to estimate the final position s(b) Round to…

A: Given,  v(t)=3(1-e-3t)

Q: Solve for 0 <0 < 2π Separate your answers with commas. 0= sin 40+ sin 50 = 0.

A: Here, the given equation is: sin 4θ+sin 5θ=0...(1)

Q: Find all the values of x such that the given series would converge. ∞ 7¹ (x-3)n n+ 3 n=1 Answer:

A: Solution in step 2

Q: e) x² Cos y - £ + 2 dx = 0 dy (9²-4) (x-1) = (x+)) dx ay g) y² e²^¹ = cosh x + √eosh ²x -1 +7 e ² y'…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: (a) f(x) = 2x³ + 3x² - 12

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: Find f''(x). 1(x) = (x² + 1)² f''(x) =

A:

Q: 3. Let h = f(t) be your height (in meters) above the ground while riding a Ferris wheel. The Ferris…

A: Given that the wheel complete one revolution in 8 minutes.

Q: Find the average rate of change of f(x) = 5x²-9 on the interval [2, t]. Your answer will be an…

A: Use the formula for the average rate of change of a function.

Q: d Calculate [ri(t) r2(t)] and Calculate[ri(t) r₂(t)] and [ri(t) × r₂(t)] first by differentiating…

A: