z'o'z-=!x - hx = (h¹x),

Q: Elimination of Arbitrary Contants 1. y = peax cosbx + yeax sin bx 2. y = c₁x + c₂ex ; a and b are…

A: we need to eliminate the arbitrary constants C1 and C2

Q: Set f(x) = 1 7x³ + 3x + 2 . (1, 1/12) is on the graph of ƒ. Find (ƒ-²¹) (¹2). The point 1,

A: The solution to find the value of inverse of f(x) at 1/12 is as follow.

Q: Evaluate the following limit: lim O O O 6x²+17x-3 lim x→∞ 5x²+14x-3 6x²+17x-3 lim x→∞ 5x²+14x-3…

A:

Q: d (h) Find sec (arctan (0~))] do

A: We need to find out the derivative.

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given; Vertex (5, -1) ; point (6, 5).

Q: eliminate  the arbitrary constant a and b: y= a+be^x

A:

Q: graph each equation.   3x - 2y = 12

A: Given data:- The given equation is, 3x-2y=12

Q: Evaluate the following integral, showing all calculus and algebra work. [xs x sin² (x) dx

A:

Q: Graphing a Linear FunctionGraph the linear function f1x2 = - 3x + 7. What are the domain and the…

A: Given, fx=-3x+7

Q: ow the steps below for the given function. (Do not use mixed numbers in your answers.) 8x + 5y: we…

A: Given query is to find the derivative by indicated methods.

Q: The formula for nCr has the same numerator as the formula for nPr but contains an extra…

A: The NCR formula is used to calculate the number of possible combinations in which r objects are…

Q: Describe what nPr represents.

A: what nPr represents:- The permutation is a specific orderly arrangement of the components.

Q: Find the directional derivative of the function f(x, y, z)=√xyz at the point (3, 2, 6) in the…

A: The given function fx,y,z=xyz We have to find the directional derivative at the point 3,2,6 in the…

Q: If f(x, y, z) = 3xy + z² and u is the unit vector in the direction of (3, -3, -4), then the…

A: This question can be solved using the concept of derivatives and vector.

Q: Evaluate the following integral, showing all calculus and algebra work. x5 ex³ dx

A:

Q: Find an equation for the plane that passes through the following points. (3, −1, 5), (0, 0, 6), and…

A:

Q: The total cost in dollars of producing x lawn mowers is given by C(x) = 4,000 + 90x - x2/3 . Find…

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

Q: Explain how to find a particular term in a binomial expansion without having to write out the entire…

A: Binomial expansion is to expand and write the terms which are equal to the natural number exponent…

Q: Find the implicit equation of the tangent plane to z = ln(x² + 1) + y² at the point (0, 5, 25).

A:

Q: f(x) = In (x + 9)

A: Given  f(x) = ln ( x + 9 )

Q: (g) Differentiate g(x) = /1-². cos¹ (√) 3

A:

Q: Write a polynomial, P(x), in factored form given the following requirements. • Degree: 3 • Leading…

A: Given :General equation of degree 3 :Px=Ax3+Bx2+Cx+D

Q: In problems 11-12, express each limit as a definite integral. (they are given using right endpoints)…

A:

Q: 18. Find the limit. lim X-8 lim X→8 6 X-8 X-8 (Simplify your answer.)

A:

Q: graph each equation.   y = 2x

A: Given data:- The given equation is, y=2x

Q: Find the present value of $6000 payable at the end of 3 years, if money may be invested at 8% with…

A:

Q: determine (algebraically) whether the given function is even, odd, or neither.   f1x2 = x3 - 4x

A: A function f(x) is said to be odd if f(-x)=-f(x)and even if f(-x)=f(x)Given function is f(x)=x3-4x.

Q: 3 x² + y² the direction of (-3, −3). Then, Suppose f(x, y) (a) ▼ f(x, y) (b) ▼ ƒ(1,4) = = = (c) fu…

A:

Q: Use the formula for nCr to solve:An election ballot asks voters to select three city commissioners…

A: Given: n = 6 r = 3 Formula Used: Crn = n!r!(n-r)!

Q: A tank has the shape of an inverted circular cone with height 10 m and base radius 6 m. It is filled…

A:

Q: Find the directional derivative of f(x, y, z) = yz + x¹, at (3, 2, 1) in the direction of = + + k 7…

A: Given Find gradient

Q: 2. Find the 2nd derivative of sin (x²-1) y *2cos(x^2-1) 4x^2 tan(x^2-1) 2cos(x^2-1) + 4x^2…

A:

Q: The variable interest rate on a student loan changes eachJuly 1 based on the bank prime loan rate.…

A: Given for the years 1992–2007, The rate can be approximated by the model r(x)=−0.115x2+1.183x+5.623…

Q: Use the formula for nCr to solve:Of 12 possible books, you plan to take 4 with you on vacation. How…

A: Given data:- The given total number of books, n=12 books The number of books to collect, r=4

Q: Evaluate O 3π S sinx dx using the fundamental theorem of calculu 3π sinx dx = 0 3πt A-4 sinx dx =…

A:

Q: Evaluate the limit If the limit does not exist enter DNE. Limit Number = lim x 6 x2 x-6 6 x

A: To evaluate the following limit.If the limit does not exist then to enter DNE.limx→6 x-6x2-6x

Q: Determine the slope and y-intercept of the graph of 3x - 5y = 30.

A: The given equation: 3x - 5y = 30 To determine: The slope and the y-intercept of the given equation.

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

A:

Q: Problems: 1.(x³ + xy² − y)dx + (y³ + x²y + x)dy = 0 2. (ex siny + ey)dx - (xe-y-e* cosy)dy = 0

A:

Q: 28. Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be…

A: Given query is to find marginal profit at indicated point.

Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Find the dimensions of the region which enclose the maximum area

Q: Use the second derivative to find the intervals where f(x) = -10x³ +60x² is concave upward and…

A:

Q: 55. Differentiate each trigonometric identity to obtain a new (or familiar) identity. sin x cos x…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the Fundamental Counting Principle to solve:How many different four-letter radio station call…

A: Fundamental counting principle:- A rule for counting all possible outcomes in a scenario is known as…

Q: The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. When x = 5 m, at what…

A: Topic- Application of derivatives We are given, Original edge length of cube=24mrate of decrease of…

Q: 7) Find the horizontal asymptote, if any, of the given function. 2x³-3x-9 f(x) 9x³-5x +3 A)y=5 8) If…

A: Here we have to use the concept of limits

Q: The equation y = 1x - c2 2 defines a family of parabolas,one parabola for each value of c. On one…

A: Given, y=x-c2                     ... 1

Q: A national census bureau predicts that a certain population will increase from 31.7 million in 2000…

A:

Q: 5₁ 4 2 7777 Find Find 7/2 Q The graph of the function f(x) = sec x is given above for the interval x…

A:

Q: The graph of the polynomial f(x) is given below. If f(x) has degree 3, find the factored equation…

A: One root is -2 and this graph touches the x-axis at x=4 so this is repeated root of f(x)