traveling? 66. A patient placed on a restricted diet is allowed 1300 calories per day with a tolerance of no more than 50 calories. a. Write an inequality to represent this situation. Use c to represent the number of allowable calories per day. b. Use the inequality in part (a) to find the range of allowable calories per day in the patient's diet. 67. The average annual income of residents in an apartment house is $39,000. The income of a particular resident is not within $5000 of the average

Q: Please help me answer this question  Brenda is stumped when it comes to graphing polynomials.  She…

A:

Q: nd the average value of the function f(x)=48-12x² over the interval -5≤x ) 1) -152 2) -52 3) 148 4)…

A:

Q: Write cos(sin(x)) in an algebraic expression form.

A: the solution consists of substitution

Q: y = (0,1) mox: (1,12) 2.Write the equation of the given graph. U wwtaai-y 3. A pen consists of 4…

A:

Q: 2 1. Find y' of tan(x²y4) = 3x + y²

A: The given differential equation is tan(x2y4)=3x+y2

Q: A ladder 15 ft long leans against a vertical wall. If the lower end is being moved away from the…

A:

Q: 1 -dx Evaluate: J- 2 2 - 6x +8 +C |x-4 2 x-2 B. In|(x-4)(x-2) +C A. In 1, C. In x=2+C 2 X+4 D. In…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: y" + 4y = sec²2x

A: Given: y'' +4y=sec22x The general solution of the corresponding homogeneous solution is y=c1 cos…

Q: 1. The lim x² - 1 1 x 1 x 16 x = 1. GUI = 2. Justify why is this so even though the function is not…

A: Given limit is limx→1x2-1x-1=2 We need to justify why the limit exist.

Q: 2.  Evaluate the integral. 7 5 dx (x − 6)2   please hsow step by step clealry

A: Given Expression: ∫57x-62 dx

Q: (a) How long will it take an investment to double in value if the interest rate is 4% compounded…

A:

Q: If y = (5 + x5 +¹³, then y' is A. (5 + x² +¹³ (5x¹¹2) +3 B. (5 + x² + ²)² (5x+) c{(5+x+) (5x + a) D.…

A:

Q: 2) The table below provides the evaluation of the function f(x) at various values. Choose which of…

A:

Q: 7- 7+3 7-2 + 3 北

A: Solution ) ( y + 3 )/( y - 2 ) + ( y - 3 )/( y + 1 )  L.C.M. of ( y - 2 ) ( y + 1) = ( y - 2 ) ( y +…

Q: A rectangular piece of land has dimensions 1050 ft by 550 ft. Find the area of the land to be…

A: The length of the rectangular land, l = 1050 ft Width of the land, w = 550 ft To evaluate: The area…

Q: 6x + y²)dx + y(2x - 3y)dy = 0

A:

Q: Finding the critical point(s) of f(x) on the given internal. f(x)=(2^x)sin(x) on [-2,6]

A:

Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

A: we need to find out thr dimensions that will minimize the surface area

Q: 0 A population of bacteria follows the continuous exponential growth model P(t) = Po e kt, where t…

A:

Q: . If x = t + cost, y = sint, find d²y dx²

A: we will find the required.

Q: The root of e^x -2 is known to exist in (0,2). Find an approximate value of the root within a…

A: Given: fx = ex-2 The root exist  from 0,2. ------------------------------Aim: To find the root with…

Q: 1. Find the solution of the IVP ty' = y +t³ sin(2t) – t³, y(t) = 3/t¹.

A:

Q: 2x 2). 9 = (₁ x ² + ( ₂² ²³

A: we need to eliminate the arbitrary constants.

Q: Solve for x, y and z using (a) Cramer’s Rule, (b) Inverse Matrix Method

A:

Q: 9²-9 9² + 69 79 2 9²-29-3 9² +29-3 2

A: To simplify ans solve the given question

Q: Element X has a half-life of 10 days. If we currently have a 25 ounce sample of Element X, how long…

A: NOTE: Refresh your page if you can't see any equations. . the half-life of the element X is p=10…

Q: Find all values of where the graph of f(x) = 2x³-39x² + 240x-5 has a horizontal tangent line.…

A:

Q: A. dne 3x5-4x²+1 X-00-7x³+x2+2 B. 0 Evaluate lim A. R The domain of y log(1-2x) is B. (-00, C., +00)…

A:

Q: Find the gradient off and then evaluate the gradient at the point P. a. f(x, y) = x/y, P = (2, 1).…

A:

Q: Please show all workings in each question neatly and in detail. 1. Evaluate the following indefinite…

A:

Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2-x 3

A:

Q: 4. A company's average variable costs are given by a function 0,202-7Q + 150. Find out where the…

A: Given Average Cost :- FQ=0.2Q2-7Q+150

Q: 4²-25 442-204125

A: We are asked to simplify the following

Q: 2. Find the derivative of each of the following functions: y = x¹2 (i) (ii) (iii) (iv) y = 3x ¹ y =…

A: 1) y=x12Differentiate w.r.t.'x'dydx=ddx(x12)We know thatddx(xn)=nxn-1Thereforedydx=12x11

Q: If y = √4x²+2sin-¹ A. 2-x 2+x A. 0 B. 2+x 2-x ,then y' equals, C. . Find d if y = arcsin√2x +…

A: Topic- Derivative of a function we are given y=4-x2+2sin-1x2and y=arcsin2x+arccos2xwe know…

Q: answer the following questions about curves defined by parametric equations. Make sure to include…

A: solution is given below..

Q: Differentiate. f(x) = 8 e 6x f'(x) = [

A:

Q: Then (fog)(x) = (fog)-¹(x) = (f ¹ og ¹)(x) = (g-¹ of ¹)(x) = f(x)=x+4 and g(x) = 2x - 5.

A:

Q: Question 16 of 30 Step 1 of 1 01:28:22 You just bought a fish tank that is 27 in. long, 24 in. wide,…

A: Given query is to find the volume of the fish tank.

Q: If satisfies the IVP y dy dx = sinx, y(0) = 5, then_y(+1) = A. 6.64 OB. 6.84 O c. 6.54 O D. none of…

A:

Q: 1. Let z = f(x, y) = -tan x + y² + eysin. (a) Use local linear approximation to approximate the…

A:

Q: Use the given graph of f to find a number & such that if |x-1| < 8 then [f(x) - 1|< 0.2. 8 = 1.2 y 1…

A:

Q: 5. Choose the correct answer for the number of (a) the vertical asymptote(s) (b) the horizontal…

A:

Q: g2(z) = g1(z − θ) is a horizontal translation to the: A. left B. right

A: The expression is given by g2z = g1z-θ To determine: The type of horizontal translation.

Q: f(x) = Answer: 1-cos(4x) 1+cos(4x) 2 sec² (2x)

A:

Q: The absolute maximum value is (Use a comma to separate answers at x = as needed.) The absolute…

A:

Q: Use the tabular method and the properties of limit to find the limit X 1 1) lim 2 3 X-0 ()

A: limx→02{13)x =2 since,  limit f(x)= L exists. By Tabular method property  -- limit f(x) exist and is…

Q: Determine the solution of the 1st Ordered Differential Equa 3(x² + y²)dx + x(x² + 3y² + 6y)dy = when…

A:

Q: Given f(x, y, z) = xyz, find fyyx

A:

Q: 4p pt| p+1 4p D

A: SIMPLIFY THE GIVEN