A model for the yield Y(N) of an agricultural crop is a function of the nitrogen level N in the soil. This where k is a positive constant. What nitrogen level maximizes, or gives the kN model is: Y(N) 64 + N² best yield? N =

Q: Find y" if y = ax³ + bx+c. (a, b, c constant) Answer:

A: To differentiate the given function

Q: 2. Solve the following integral [(secx a. tanx + secx + C O b. secx - tanx + C O c. tanx - secx + C…

A: formula used  ∫sec2x dx=tanx +c∫sec(x)tan(x)dx=sec(x)+c

Q: state the axioms that define a group.

A:

Q: Find dy by implicit differentiation. x² x+y dx 11 = y² + 5

A: Given query is to find the derivative.

Q: 3. Consider f(x) = on the interval [6,14]. Verify f(x) satisfies the conditions of √x-5 the mean…

A: Suppose that a function f is continuous over a,b and that f is differentiable over a,b. Then, there…

Q: The polynomial of degree 5, P(x) has leading coefficient -3, has roots of multiplicity 2 at x = 1…

A: We have to find out

Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

A: Concept: The thermometer temperature is represented by T and room temperature by Tm Now at time  t=0…

Q: kite 100 ft above the ground moves horizontally at a speed of 2 ft/s. At what rate (in rad/s) is the…

A: We will find the required.

Q: Please

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Q: Find the indefinite integral. (Use C for the constant of integration.) √ 25 e2x 25+ e est dx

A:

Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

A:

Q: 2. Determine whether the series (a) Converges 00 (b) 5 3/2 converges or diverges. Diverges

A: need to find out the the series converges or diverges.

Q: cos(x) (a) lim x1 √√x-1 r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE.)…

A:

Q: Use the chain rule to find the derivative of 4√/5x+3x6 Type your answer without fractional or…

A:

Q: Σ 1 8

A: See this solution in below.

Q: Önsider the integral 9 S² = the integral is divergent, type an upper-case "D". Otherwise, evaluate…

A: Given query is to find the value of the integral.

Q: Write a polynomial with degree 4 that has a zero at x = 3i, and a zero at x = 5 with a multiplicity…

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Q: Find the critical numbers of f(x) = 5x³ + 6x² - 4x + 120

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Q: Solve for x: -X (f) 6*+¹ - 6-* = 5

A:

Q: 7. A carpenter is building a rectangular room with a fixed perimeter of 54 ft. What are the…

A: We need to find out the dimensions of the rectangle whose area is maximum.

Q: Evaluate 112 (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 2

A: To evaluate the given line integral

Q: The density of the cat population in a Mewpolis, a circular city of radius 10km inhabited solely by…

A:

Q: use the table to estimate the 10.2 10.3 5.6 4.3 4.7 4.2 10 10.1 (x) 4.5 3.4 g'(x) 6.5 5.9 9 Sunday

A:

Q: 47-56. Derivatives of inverse functions at a point Consider the following functions. In each case,…

A: f(x)=log103x  ; 0,13 We have to find, ddxf-1(0)

Q: -10 -8 -6 Answer: f(x) = -4 -2 20 16 12 8 4 -4 do -12 -18 2 9 8 10 Submit Answer

A: Given query is to find the function of the graph.

Q: The graph of the function f(x) = x²2e-x/7 26.53+ 21.22 15.92 10.61 5.31 follows. 5 10 15 20 25 30 Q…

A:

Q: Find the Taylor polynomial P4 for f(x) = In x at Xo = 1.

A: The given function fx=ln x at x0=1 We have to find the fourth order Taylor polynomial.

Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

A: Here we have to plot a graph.

Q: Before descent an airplane is cruising 23200 feet above the ground. The air traffic control tower is…

A:

Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p=…

A: Note:- these are multiple sub parts according to rule we can do max 3 sub parts so i am solving here…

Q: Find dy by implicit differentiation. dx dx 11 xey = x - y

A:

Q: Find the volume of the region below the surface z = 4x+6y over the rectangle R = [1, 4] ×[2, 3].

A:

Q: If 3x O -2. O 0. O 4. O 2. O -4. 3 [2x y/t then y =

A:

Q: Let f(x) = x8 - 7e*. (a) f'(1) = (b) f(1) =

A: Power Rule of Differentiation This is one of the most common rules of derivatives. If x is a…

Q: 2) f(x) = sin−¹(x + 1) + ½/ Table: y = sin ¹x Transformations: D: R: X

A: y= Sin-1x

Q: Answer the question. Does lim1 f(x) exist? If it does, find the limit. [-x²+1, -1<x<0 4x, 0<x<1 f(x)…

A: To find the limit of the piecewise function

Q: Based on the graph below which of the following statements are true? Assume that the trend of the…

A:

Q: Suppose that f(x) = (x + 4)(x - 3)2. (If an answer does not exist, enter DNE.) (a) Find all critical…

A:

Q: Find the surface area of the part of the circular paraboloid z = x² + y² that lies inside the…

A:

Q: 12. A bank account grows at 5% interest compounded semiannually. How long will it take for the…

A:

Q: b) r = 1 2sint+3cost

A:

Q: Solve each of the following integrals. (a) [{(t+1)7 + cost 7+kat 1+ 30 (b) s((ae²) 7 + (31) di

A: See the details solution in below

Q: 26. y'"-8y +16y = 6xe4x + 2 + 16x + 16x²

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: We have to find given sequence is convergent or divergent.

Q: Find dy by implicit differentiation. dx x² _= y² + 5 x + y

A: The given equation x2x+y=y2+5 We have to find dydx by using implicit differentiation.

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…

Q: If 8000 dollars is invested at 8% interest, find the value of the investment at the end of 6 years…

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Q: Find the derivative of y=x√x + 1. 1 dy = 2(x+1) ³ + √² ž √x+1 dy dx = dy dx dy √x+1+ dx = x √x+1 = =…

A:

Q: Determine which graph is the graph of f(x) if the following are true. = 0. f(x) has a horizontal…

A: