6. Solve the following problem: kiwis cost 5 coins, oranges cost 4 coins, and 2 grapes together cost a coin. How many kiwis, oranges, and grapes totaling 100 can be bought for 100 coins? Assume no fractional parts of a banana, orange, or grape can be bought. There are two solutions.

Q: 3 Fx (#) = 10.1,100) (2) +100,200)(2) + /200,500) (2) + I[s00,00)(x) Determine the following: a) fx(...

A: Note : according to our company guidelines we are supposed to answer only 3 subparts if more than 3 ...

Q: 4) Find the slope of the curve y = 3x + 1 at point P (1,2)

A: We need to find slope of curve at given point.

Q: 34x The partial fraction decomposition of 8x2 can 10х + 3 f(x) 2х — 1 g(x) be written in the form of...

A:

Q: Problem 1. Evaluate the following integrals 2 3x2 + x – 1 (g) S i x 1 dx Ans. In 6 – 2 - - 2(x+ 1) 1

A:

Q: Given f(x)=1/x find the difference quotient f(x+h)-f(x)/h

A:

Q: Let D be the region bounded by the paraboloids z = (8 - x^2 - y^2) and z = (x^2 + y^2). Write six di...

A:

Q: 5x lim x→-3 Vx + 4 1

A: This is not indeterminate form so simply put the value of x and simplyfy .

Q: For a function f, we define the ___________________________________, denoted f’, by f’(x)=Instantan...

A:

Q: 0 2 4 6 8 10 12 f(x) =|-16-12 -10 -8 -7 -8 -10 . Estimate f'(2) using the values of f in the table. ...

A:

Q: Find each total value. Draw an X on the coin with the greatest value. 1. 2. Start with 25 ¢ Start wi...

A: We have to find total value of coins and the greatest value of the coin .     

Q: Estimate f' (4) for f(x) = 4. Be sure your answer is accurate to within 0.1 of the actual value. tha...

A:

Q: Evaluate f (2x + 1) dx by two methods: (a) Expand (2.x +.1)' by the binomial theorem; (b) let u = 2x...

A: Given that ∫2x+13dxa. using binomial expantion2x+13=c302x3+c312x21+c322x112+c3313=8x3+34x2+32x+1=8x3...

Q: 8) Determine if the line given by r(t) = intersects the xz-plane. If so, determine at what point.

A:

Q: 2 X 1 t3 COS 4- x² dx 2 -2

A:

Q: Graph the function. s)--2/x-4 Plot four points on the graph of the function: the leftmost point and ...

A: See the graph given below and x can't be less than 4 because for x<4, square root of X-4 become n...

Q: Find the second derivative of ?(?) = sin(4?4). use the chain rule

A: Follow the procedure given below.

Q: 1 Evaluate - dx (r+2)Vx2+4x

A:

Q: Consider the graph of f(x) given below. -10 -15

A:

Q: 5. A man takes out a loan of P150, 000 from a credit cooperative, which charges interest at the rate...

A: This is a problem related to simple interest calculation. Based on the general formula available we ...

Q: 2t – 2 t2- 1, Let r(t) = - î - tan (t) ĵ+ In(2t) k. %3D (a) Determine the domain of r. (b) Compute l...

A:

Q: Given the Maclaurin series for sin x is sinx E=o(-1)" (2n+1)! x2n+1 %3| find the Maclaurin series fo...

A: The given function is:   f(x)=x sin(3x)

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

A:

Q: 1) cos 945° 3) tan 870° 5) sin 90°

A: Topic:- trigonometry 

Q: (e) S -dx, x = 3 sec t Ans. C + Vx² – 9 – 3 sec¬1 () (f) x² + 4x – 5 -dx

A:

Q: Problem 1 Let A and B be two finite sets, with |A| = m and |B = n. How many distinct functions (mapp...

A: f:A→B where |A|=m, |B|=n

Q: The power series representation for cosh x is cosh x = x2n Use this to find a power (2n)!" Zn=0 seri...

A: The given series is: cosh(x)=∑n=0∞ x2n(2n)!

Q: 3. Find a positive root of cosx - xex = 0 upto four decimal places, using Newton-Raphson mehtod. %3D

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

Q: The function f(x) = x° - 9 is one-to-one. 1 a. Find an equation for f ', the inverse function. 1 b. ...

A:

Q: [6] Find the solution of the first order ordinary differential equation (1– 3y2) dy – x sinx dx=0, y...

A:

Q: 00 Which function has Maclaurin series(-1)"2" x" n=0 O f(x) = e-2x O s(x) = 1+2x O sx) = e* O f(x) =...

A: We have to find function

Q: Let F(x) = 2x^3 - 5x + 1 Explain, by using the Intermediate Value Theorem, why this function has ( a...

A: A polynomial function is everywhere continuous. A point x= a is said to be a x- intercept of a funct...

Q: 1. Sketch the region bounded by the graphs of the following equations. y = -x2 + 3x +1 and y = -x+1 ...

A:

Q: find the amplitude, period, frequency, wavelength and velocity

A:

Q: Problem 1. Evaluate the following integrals (d) S V3 – 2x – x2 dx. -

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: The letters A,A,A,B,B,C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The ca...

A:

Q: -13 csc e = 37 sine cose 5. If 5 and 2, then find csce soc e

A:

Q: 13. Algebraically find fo g(r) and go f(x) in their simplest form using I+7 f(r) = and g(x) = Vr - 2...

A:

Q: For the function g(x) = - (x+4)2 +9, find each of the following by referring to the graph. (A) Inter...

A:

Q: Let f(x) = |x|. Find the equation of the function g whose graph is the following transformation of t...

A: Here we have to use the parent function to plot the required function graph.  

Q: Use the Maclaurin series for cos(x') to determine f(0) f®(0) = -360 O fo(0) = - O f®(0) = 0 %3D %3D ...

A:

Q: Evaluate: s 1012 de 01 0-1

A:

Q: Evaluate using Trigonometric Substitution: dx I+v o 음V1-VE(V-2) + C o 을V1+vE(VE-2) + C O None of the...

A:

Q: Verify Young's Theorem z = In(2x + y) -

A:

Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y + z ...

A: The solution are next step is

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: We need to determine whether given integral is divergent or convergent. ∫2∞5(x+6)19dx

Q: x2 + 60 x3 + x2 h(x) The partial fraction decomposition of can be f(x) , g(x) written in the form of...

A:

Q: Let F(x) = f(x) + g(x), where the graphs of f and g are shown in the figure to the right. Find F'(5)...

A: Given Graph:-       To find:- F(x) =f(x) +g(x)  Then value of F'(5) 

Q: d. lim g(t), where g(t) = 1 2, t> -2 ={* rt+2,ts-2 %3D

A:

Q: sin4x 15. lim x→0 sin7x

A:

Q: 9) If a cup of coffee has temperature 95° C in a room where the temperature is 20° C, then, accordin...

A: topic - definite integral