Differentiate: s(t) = sec √r A. tan² Vi C. sec √i-tan vi B. D. sec √t-tan √1 2√1 csc √t √r

Q: A company makes portable heaters for outdoor dining. The company has total cost function C(x) =…

A: A company makes heaters for outdoor dining. The company has total cost function  and the total…

Q: (a) A = 20º, b = 11, c = 7

A: (a) Given thatNow, we are using the law of cosines

Q: 29) Evaluate the limit, if it exists. If it does not exist enter DNE. cos (x) lim x-(1/2) + 1-sin(x)

A:

Q: 7x⁹ (x10 - 3) 5 a) This can be transformed into a basic integral by letting Consider the indefinite…

A:

Q: 9 Consider the function f(x) = 6x⁹ + 6x7 - 7x² - 4. Enter an antiderivative of f (x). Do not enter…

A:

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A: From the given table

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) J sin(7πt) dt

A:

Q: Find all y-intercepts of the following function. Express your answer as a coordinate point in…

A: To find all -intercepts of the following function.

Q: lim h→0 3(x+h)² - 3x² h A. 6 B. B. 6x 6x C. 3x D. 3

A: Limh-0[ 3(x+h)2-3x2]/h[ 3(x+h)2-3x2]/h

Q: Given: (x is number of items) Demand function: d(x) = 2028 √x Supply function: s(x) = 3√x Find the…

A:

Q: Show that the series converges by applying the Alternating Series Test: O O lim 148 1+ Inx (xlnx)2…

A: The given series .The aim is to check the convergence of the series.

Q: Find the area under the curve y = 2x-3 from 7 to a = t and evaluate it for t=10, t= 100. Then find…

A:

Q: The cost of producing a units of stuffed alligator toys is C(x) = 0.003x² +10x+6000. Find the…

A: C(x)=0.003x2+10x+6000

Q: Determine each feature of the graph of the given function. f(x) Y = Answer Attempt 1 out of 2 −5x² +…

A:

Q: 24) Evaluate the limit, if it exists. If it does not exist enter DNE. x²-3x² + x lim x+00 x³x+2

A:

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: 21. Set up but don't evaluate the triple integral for finding the volume of the wedge bounded by the…

A:

Q: s sec² x /1+tanx dx.

A: I=∫sec2⁡x1+tan⁡xdx

Q: Evaluate the indefinite integrail. (Use C for the constant of integration.)

A: The given integral is sin(√x)/√x

Q: f(x) Answer 2x² + x - 28 2x - 12

A:

Q: Determine the volume of the solid generated by rotating function f(x) = √64 - ² about the x-axis on…

A: The given function is

Q: Find the derivative of y = (x²+2x+5)6. A. 6(2x + 2)(x² + 2x + 5)² B. 6(x²+2x + 5)² C. D. 2x + 2…

A:

Q: Convert the parameters below to a cartesian coordinate equation. x = 1 + cos 0, y = 2 sin 0.…

A: The given parametric curves  and .The aim is to convert the parametric curves into the cartesian…

Q: If f(x) = 6 + 3x − 2x², find f'(4).

A: Given,

Q: Use Pascal's Triangle to expand (4x² + 1)¹. Express your answer in simplest form.

A: The given expression .The aim is to expand the expression using Pascal's triangle.

Q: If∫−15−97f(x)dx=15and ∫−15−97g(x)dx=11and ∫−15−97h(x)dx=25what does the following integral…

A: The objective of the question is to find the value of the integral ∫ from -15 to -97 of [5f(x) +…

Q: Determine whether the improper integral converges or diverges. If it converges, determine the value…

A:

Q: 5. The graph of y = f(x) is shown below. The sketches of transformations of f(x) are given in the…

A:

Q: sinx x0 e²x-1 5. Use power series to evaluate lim

A: Power series expansion

Q: 1-9-2- 3-2 limf is x→7 from 9 10 11 *(***)

A:

Q: 27) Evaluate the limit, if it exists. If it does not exist enter DNE. lim (1 + x)¹/x x→0 28)…

A:

Q: Mateo loves lattes and buys one almost every day. This amounts to about $121 per month. If Mateo…

A:

Q: - lim x-3 x-3 A. - B. C. 217 D. 3

A:

Q: A loan of  $76,600 is to be repaid with monthly payments for 25 years at 6 % interest compounded…

A: The monthly payment is calculated by formula-PMT=P×r×(1+r)n(1+r)n–1is basic formula that works in…

Q: Let f (x) = ln (x² f'(x) = - 14x + 58)

A: Given,

Q: Explain why an exponential or logarithmic function would not be used to model the graph from…

A: An exponential or logarithm function cannot model the graph, because the graph is not monotonic.

Q: -5-4-3-2 L. The function graphed above has: Positive derivative on the interval(s) Negative…

A:

Q: 10 Find the derivative of: 4√ Type your answer without fractional or negative exponents. Use sqrt(x)…

A: Explaination of the answer is as follows

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: Given a spherical snowball is melting in such a way that its radius is decreasing at a rate of…

Q: Determine whether →F(x,y,z)=3x^2yˆi−yzˆj+zx^2ˆk is a conservative vector field.     Component of…

A:

Q: The graph of z = f(x) has the point (5,- 8), what would the point be on the graph 1 of Z (1) (30,…

A: The given function z= f(x) has the point (5,-8) .

Q: X 1 2 3 4 5 y 12 -2 -3 -4 -5 -5 3 4 5 -4 -5 -5 -6 -6 -7 -8 -6-7-8-9-10 -8 -9 -10 -11 -12…

A: x∖y123451−2−3−4−5−62−4−5−6−7−83−6−7−8−9−104−8−9−10−11−125−10−11−12−13−14

Q: 2 x Find the volume of the solid generated by revolving about the x-axis the region under the curve…

A: To find the volume of the solid generated by revolving about the x-axis the region under the curve…

Q: Evaluate the integral and write answer as a decimal rounded to THREE places [*x2²cos (4x) dx 0

A: To evaluate the following definite integral.

Q: How is the graph of 8y=x² related to the graph of y=x²? 1 y=x² has been expanded horizontally by a…

A: To explain how the graph of  is related to the graph of .

Q: True or False, and explain why showing all steps. The function f(x,y) = x2 + y2 has a global maximum…

A: True or False, and explain why showing all steps.The function f(x,y) = x2 + y2 has a global maximum…

Q: 17. Evaluate (2²+1²)dA using polar coordinates where R is the top half of the disk 2² + y² ≤ 25.…

A:

Q: Question 20 v Evaluate the following definite intergral. If necessary, round your final answer to…

A:

Q: Given f(x, y) =−x5 + 6xy² + 4yº, find fxx(x, y): g) fay(x, y) =

A:

Q: Evaluate the following integral given that 5.° Answer: 1° e е _-1² dr and a = 9.1. Round your…

A: