Differentiate the function f(x) = 8x²- -6² +x7/3 8 x² - Find an equation of the tangent line to the curve y = x³ - 8x + 2 at the point Find the first and second derivatives of the function f(x) = 9 sinx+6√√x

Q: 115. f(x) = a. X x+4, lim_ f(x) 3 b. lim f(x) x-3+ *3

A:

Q: -5 -4 -3 NO 4+ 3+ 2+ 1+ T -2+ -3+ -4+ -5+ 1 2 3 4 5x

A:

Q: The base of a solid is a circular disk with radius 2. Parallel cross sections perpendicular to the…

A:

Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your…

A:

Q: b.) lim z-3 r²-2r-3 2-3

A: K=limx→3(x2-2x-3x-3)(i)∂ ∂x(xn)=nxn-1(ii) ∂ ∂x(constnat)=0

Q: Suppose that f(x, y) = e/" on the domain D = {(x, y) |0 ≤ y ≤ 1,0 ≤x≤y³}. D Then the double integral…

A:

Q: If f is a function such that f'(x) = -f(x), then fxf(x) dx = (A) f(x)(x + 1) + C -(B) -f(x)(x + 1) +…

A:

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x³ e-x (a) Find the…

A: The function is given by f(x) = x6e-x To determine: (a). The interval on which the function is…

Q: 27

A:

Q: Use L'Hopital's rule to evaluate the following limit. The format below allows you to enter the…

A:

Q: Evaluate: d dxJ (21² + 5)² dt.

A:

Q: Let g(x) = 3x8 − 12x7 Find the relative maximum and minimum values of g. Also find all inflection…

A:

Q: ENSURE THAT YOU TAKE NOTE OF HOW MANY ATTEMPTS ARE GIVEN FOR EACH PROBLEM ON THIS ASSIGNMENT. SOME…

A:

Q: Determine all critical points for the function. f(x)=3x² - 2x³ X= (Use a comma to separate answers…

A:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: Find the area between the graph of y = x³ - 2x + 6 and the x-axis from x = 1 to x = 3.

A:

Q: Given the vector function r(t) = ( − t, − 3t5, − 5t² + 3) Find the velocity and acceleration vectors…

A: The position vector function is given by r→t = -t, -3t5, -5t2+3 To determine: The velocity and…

Q: A rescued whale is released into the ocean 400 meters due east of a coast guard station. The whale…

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

Q: In Problems 43-54, calculate the definite integral, given that 61 x dx = 7.5 xem được ng x² dx = 21…

A: ∫14xdx=7.5  ; ∫14x2dx=21 ; ∫45x2dx=613

Q: Tutorial Exercise Find a power series representation for the function. Determine the interval of…

A:

Q: Which of the following are examples of polynomials? Select all that apply. Oy = 5x-² + X y = x + 15…

A:

Q: (e) Determine the intervals over which the function F(x) = fedt is concave up and oncave down.

A: formula used  sum of squares of 'n' natural numbers∑i2i=1n =  nn+1(2n+1)6

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 8 ΣΕ k! k = 1…

A:

Q: Do Homework - Section 3.7 - Profile 1 - Microsoft Edge…

A:

Q: √4x+4y² - √√2x-1² = 5

A:

Q: Find //24. a Round your answer to four decimal places. -dA, R= [0, 1] x [-4,4]

A: ∬xy2x2 + 1dA0 ≤ x ≤  -41 ≤ y ≤  4

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A: The region bounded by the curves  x=1+(y-7)2  and  x=10

Q: Given the system of equations -1.1x₁ + 10x₂ = 120 -2x₁ + 17.4x₂ = 174 (a) Solve graphically and…

A: Given system of equation-1.1x1+10x2=120-2x1+17.4x2=174we have to solve to system of equation by…

Q: (c) J xe0.4x (0.4x + 1)2 d dx

A:

Q: Find & Simplify the difference quotient for the function: fax) = 526 5x-6

A: f(x)=25x-6

Q: Determine the scalar equation of a plane with normal vector n = [3, 1, 3] that has a y-intercept of…

A:

Q: 3+ I G (a) Use the graphs of F and G functions above, find the value of ()' (2).

A: By the divison rule of differentiation we can easily solve this.

Q: Determine if each of the provided functions is continuous at the specified value of 'a'. If a…

A: Find g(2), L.H.L. And R.H.L.

Q: No ess Noted on a Question (A) -√3 od 01 151 T 1. What is the slope of the line tangent to the polar…

A:

Q: Sketch the region of integration and evaluate the following integral, using the method of your…

A: ∫010∫0100-x2x2+y2dydx

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: (b) y = dy dt = [-27e^(9t)-27(t^6)e^(9t)+9(t^5)e^(9t)]/[sqrt(1-t^6)(1-t^6)] (c) h(y) h' (y) -3e⁹t…

A:

Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for…

A:

Q: Select the correct choice below and, if necessary, fill in the answer box to complete your choice.…

A:

Q: Use the point on the unit circle to find the value of the three trigonometric functions below. Enter…

A:

Q: Using implicit differentiation, find Provide your answer below: dy dx - 4xy³ - 6xy² =

A:

Q: Complete parts a through f below to find nonnegative numbers x and y that satisfy the given…

A: x+y=63P=x2y

Q: 25. Show that the equation x³15x + c = 0 has at most one solution in the interval [-2, 2].

A: We need to show that the equation x3−15x+c=0 has at most one root in the interval [−2,2].

Q: 27, 28, 29, and 30 Compare the values of Ay and dy if a changes from 1 to 1.05. What if a changes…

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A:

Q: Two variable quantities A and B are found to be related by the equation given below. What is the…

A:

Q: The circulation time of a mammal (the average time it takes for all the blood in the body to…

A:

Q: In each of the problems below, you will determine if L'Hopital's Rule applies (perhaps after…

A:

Q: The path of a total solar eclipse is modeled by f(t)=0.002561² -0.463t+33.337, where f(t) is the…

A: Given: f(t)=0.00256t2-0.463t+33.337 We are required to find: The minimum value of the given…

Q: (c) A rectangular box with a lid has a volume of 60 mm². The length of the box is three times the…

A: