1. Use the basic differential properties shown in section 3-5 to find each indicated derivative. (A) ƒ'(x) for f(x) = x³. (B) y' for y = . (C) d for y = 2+5t—8t³. (D) & (3x³ — √2+7 -7).

Q: Find the derived functions of each of the following functions: y=sin 1/x

A:

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

A:

Q: Find an equation for the plane that is tangent to the surface z = In (x² + y²) at the point…

A: NOTE: Refresh your page if you can't see any equations. . so the function is  and the given point…

Q: Find all the values of x such that the given series would converge. ∞ (x - 11)" 11″ n=1 The series…

A:

Q: x = y² and x = 9 YA 4 2. 0 -2- 4 x = y² 2 4 6 + 8 x = 9 10X

A:

Q: Apply Green's Theorem to evaluate the integral. (8y + x)dx + (y +4x)dy C: The circle (x-7)² + (y -…

A:

Q: R is the reduced row echelon form of Q. Find a basis {b₁,b2, ..., bn} for the null space of Q. Q b₁…

A:

Q: Graph the first-octant portion of the plane. x+y+z=9 Choose the correct graph below. OA. Z Q O B. G…

A: The given plane:  x+y+z=9

Q: 8. A 33-foot ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: x² + x Compute the limit lim x² +10 Give your answer as an integer or a fraction. If the limit does…

A: To evaluate the following limit.limx→∞ -x2+x-1x2+10

Q: :f5* cot² (5²) da dx Integrate:

A: To evaluate the given integral

Q: Find and simplify each of the following for f(x) = 4x² - 7x+6. (A) f(x + h) (B) f(x+h)-f(x)…

A:

Q: Consider the cost function C(x) = 5x³ What is the marginal cost at the production level = 2?

A:

Q: 3x-1 The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 4x+3 (a) Find…

A:

Q: (b) lim x-0 sin ax X

A:

Q: If the function f(x) = ? (3ax² +2bx+1 if x ≤1 is differentiable for all real values of x, then b =…

A: To find the value of b

Q: decreasing on [−1, and [2.07, 4] Find the average rate of change for the function between the given…

A: Given query is to find average rate of change.

Q: Find the line integral along the given path C. (x - y)dx, where C: x=t, y = 9t+5, for 0≤t≤3 C…

A:

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

A:

Q: Determine whether the following limit is equal to ∞, -∞ or some specific value. 5x³ + 2x 6x4 lim…

A:

Q: ent value (exact value) dollars

A:

Q: Find the average rate of change for the given function. f(x)=x² + 7x between x = 0 and x = 5 The…

A:

Q: Solve the system by elimination: Express your answer as an ordered triple in the form (x, y, z).…

A: We need to solve the system.

Q: Solve the equation algebraically. Verify your solution with a graphing utility. 10) 3x²= 25-10x A)…

A: 3x2=25-10x

Q: Evaluate. 4 -2 (2x²-5x+6) dx

A: we know that  ∫xndx=xn+1n+1+c∫-24(2x2-5x+6)dx=2∫-24x2dx-5∫-24xdx+6∫-24dx

Q: Differentiate implicitly to find 7xy+2=0 히층

A: Given Equation:- 7xy+2=0

Q: The cost function for q units of a certain item is C(q) = 93q +92. The revenue function for the same…

A:

Q: [sqrt(3n+1)] / [ 2 + sqrt(n)] does this sequence converge? or diverge? and why?

A: The given sequence 3n+12+n. We have check whether the sequence is converges or diverges.

Q: Find the point on the plane x + 2y + 3z = 18 closest to the point (1,1,1). The closest point is).…

A:

Q: A spherical snowball is melting. Find the approximate change in volume if the radius decreases from…

A: we know that volume of spherical shape = 43πr3 Let initial radius r1 = 3cm Let the final radius r2…

Q: Evaluate. b Sx³dx b S/13 a a x°dx =

A:

Q: Find the value of at the point (1,9, 1) if the equation дz 12xz + y ln x - 9x² - 3 = 0 defines x as…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  and the given…

Q: 14px 1.5pt : B US A A Dº X₂ 9. The cost of hosting a dinner in a particular restaurant is given by y…

A: Given query is to find the slope of the line and it's meaning.

Q: Compute the general term an of the series with the partial sum 9 us an - - 9 = n " n> 1. If the…

A:

Q: Find the numbers b such that the average value of f(x) = 7+ 10x - 9x2 on the interval [0, b] is…

A: GivenThe average value of the function f(x)=7+10x-9x2 on the interval [0,b] is equal to 8.   We are…

Q: The cost of manufacturing x electric woks in one day is given by (see formula). Find the average…

A: NOTE: Refresh your page if you can't see any equations. . the total cost function is given by the…

Q: Using calculus, find the absolute maximum and absolute minimum of the function f(z) = 52² - 20z+5 on…

A: Givwn funxtion:- fx=5x2-20x+5

Q: suppose that Σ n=1 sum of the series: A. B. an = - 7 and Σ. (2an + - 50) - n=1 Σ (2an + 5bn) : = n=2…

A: The given data is: ∑n=1∞an=-7∑n=17bn=7a1=-6b1=3  A) To find the value ∑n=1∞2an+-5bn

Q: Given cosa = - tans =- and a and are not in Quadrant II

A: The given data is: cosα=-35tanβ=-512  31) To find the value of sinβ.

Q: cos [Arc sin (-1)]

A: We can evaluate the answer in the below steps.

Q: Find the integral. dx 11 dx 喘口 11

A:

Q: Use a graphing utility to approximate the real solutions, if any, of the equation rounded to two…

A: By using a graphing utility to approximate the real solutions, if any, of the following equation…

Q: The expression cote sine can be simplified to which of the following? O sine cose O tane csce

A:

Q: 1. Consider the vector-valued function F(t) = sin(2t) t (2,1,-2), a) Find the domain of F. b) Show…

A:

Q: (34) Find the area of the region bounded by the parabolas y = x² - 4 and y = 2x²+x-6.

A:

Q: Consider the integral [ b 9₂(y) a= 91(y): f(x,y) dxdy f(x, y)dyda. Sketch the region of integration…

A:

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. reAr Ax de fete Les dx…

A: Given: By the Fundamental theorem of calculus,…

Q: 3. Which of the following graphs could be the graph of y=-4x-57 Circle the letter of your answer(s)…

A: NOTE: Refresh your page if you can't see any equations. . the given equation of the line is

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. [ (10z4 - 12x)dz = 900…

A:

Q: Let f (x) = x¹ - x³ The domain of f is restricted to -2 ≤ x ≤ 4 Find the absolute maximum value of…

A: