Find the derivative of the inverse trigonometric function * cos' x B. y' =; C. y' = 3x2 A. y'=: V1-x D. y' =: O A В O c

Q: The rate of change of the population of Calcville can be modeled by the function P'(t) = 13.4e0.04 w...

A:

Q: Consider the function: f (x) = x³ + 3x2 – 45x + 3 Step 1. Find the critical values of the function. ...

A:

Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: The amount of a certain drug in a person's blood t minutes after administering the drug is given by ...

Q: Find the value of k, and write the equation. Estimate the population of the country in 2015. After h...

A: We will find the exponential function. 

Q: Determine whether each statement is true or false. You have one submission for each statement. 9000 ...

A:

Q: Evaluate the indefinite integral as an infinite series. ex- 1 dx 2x Σ + C n = 1

A:

Q: true or false: if the sequence [a sub(n)] is monotone decreasing, then [a sub(n)] must converge

A: Follow next step

Q: 1. Answer the following question? A Let f '(x) = x - 2x – 3. For what value(s) of x does f(x) have a...

A:

Q: Using least squares regression criteria, find the line (form y = ax +b) that would be the best fit f...

A:   X Y XY X2 Y2   1 2 2 1 4   3 4 12 9 16   5 7 35 25 49 sum 9 13 49 35 69     X¯ =1n Σ Xi...

Q: 3. If f(x) = cos(x), determine f(125) (-T). V2 (B) 2 (A) 0 (С) 1 (D) –1 1 (E)

A: we will use nth derivative formula of cosx .

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: we need to find the vectors that satisfy the given stated conditions.

Q: 200 If 1 + 5e-0.5t 50, solve for t. t =

A: We can solve for 't' . Firstly multiply denominator term by Right hand side term and simplify . lne...

Q: dy Find given that dt dx x + y = 2x + 4y, x= 3 y = 1, and %3D = 6 dt dy %3D dt

A:

Q: g (z) = Find the derivative of the function. u? – 5 g (x) = mp- u? + 5° 3r

A: We have to find the derivative of the function                                                      ...

Q: A cold drink initially at 38°F warms up to 42°F in 2 min while sitting in a room of temperature 69°F...

A:

Q: A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium ...

A:

Q: - Sint - COS 2 sec E) tanC)

A: Recall: sec(x)=1cos(x)tan(x)=sin(x)cos(x)

Q: Let f(x): What is the equation of the vertical asymptote of f(x) and what is the sign of f(x) as x -...

A:

Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0) ...

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x) ...

Q: Find the area of the region.

A:

Q: 9 1/2-8 3/4+10

A: We have to find solution of given expression.

Q: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

A:

Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation....

A: Consumer's Surplus , CS = ∫0q p(q)-p dq .

Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = = ;x = -3 4 O ...

A:

Q: find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

A: Explanation of the answer is as follows

Q: 2. Determine f'(-1) for the function f(æ) = (x" – 2r° + 1)(x³ + æ -- 2). 8 (B) 12 (C) 14 (D) -4 (E) ...

A:

Q: Find a formula for the nth term of the arithmetic sequence. a3 = 95, a6 = 107

A: topic- arithmetic sequence

Q: 4 20 Find f(5x)dx if f(x)dx = 3. Enter the exact answer. 4 f(5x)dx =

A:

Q: Problem 3. The surface of a dome to be installed on the roof a house can be modelled through the fun...

A: f(x,y)=4-x2-y2To Find:d. The coordinate (x, y) of the highest point of the dome. Why it is the maxim...

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: Question- Set up an integral for the area of the shaded region. Evaluate the integral to find the ar...

Q: 0 if x V2. Prove or disprove that f is continuous.

A:

Q: Find the centroid of the region bounded by the curves y= x-4 and y = 2x - x. Note that the area of t...

A:

Q: E(-1)"- п — 1 n=2

A:

Q: (-1)" 2'/n (2n² – 1)" en? n=1

A:

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the tri...

A: Given problem:- The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the...

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: The sales, S. of a product have declined in recent years. There were 204 million sold in 1984 and 1....

A: The sales, S, of a product have declined in recent years. There were 204 million sold in 1984 and 1....

Q: Evaluate the following limits. 1. lim(1+ Vw)(2–- w² + 3w*) w+1 12 - 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: A landscape architect in a botanical garden plans to enclose a 2000 square foot rectangular region a...

A: Let the length= x foot  Breadth= y foot  Area = lb = xy  2000= xy .   

Q: 1. Fill in the following blanks for this function: y = - 4 cos 2x - 5 a)amplitude b) reflection c) p...

A: Given query is to find the Indicated points of the function.

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number betw...

A:

Q: Prorate the following expenses and find the corresponding monthly expense. Lan pays a semiannual pre...

A:

Q: true or false: If a finite number of terms are added to a convergent series, then the new series is ...

A:

Q: An offshore oll well is 4 kilometers off the coast. The refinery Is 5 kilometers down the coast (see...

A: Given query is to find the x to minimize the cost.

Q: x sec(em) tan(enx) dx= sec x2 tan x2 dx A) True B) False

A:

Q: 5x3 dx. Consider the integral 4x4 +2 (a) Which of the following statements best describe the given i...

A: For part (a), option (b) is correct answer. For part (b), the given integral is Divergent.

Q: The movement of a particle follows g(u), where g(u) h(u) and h(u) = u? + 8u + 15 and y(u) = u² + 2u ...

A:

Q: -2 V2x - x² dx

A: The given integral,       ∫022x-x2 dx

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a...

A: