e Fundamental Theorem of Calculus Part II to find the derivatives of foll (2) = √²* √√₁ + 1³ dt

Q: what points on the given curve  x = 4t3,   y = 5 + 60t − 8t2. does the tangent line have slope 1?…

A: Given query is to find the points where slope of tangent is 1.

Q: Find the derivative of the following function. x cos ¹1¹(7x) O O о O 7x √₁ 1 – 49x² 7x √1 − 49x² -7x…

A:

Q: The Total Revenue is increasing when the demand is inelastic and the price is increased slightly.…

A: Given data÷ The Total Revenue is increasing when the demand is inelastic and the price is increased…

Q: Determine the value of an investment in the amount of $4000 that matures in 4 years and pays 7.5%…

A: Let's find value of amount after 4 years in each given cases.

Q: Use a scalar projection (NOT A FORMULA- unless you derive that formula as part of your solution) to…

A: Here we have to find the shortest distance from the point (1,−2,5) to the plane given by…

Q: Find the derivative of the function below. h(x) = x tan (8/x) + 1 dh

A:

Q: X y 1 2 712 4108 y = 3 10550 4 23011 5 41381 6 60925 Use linear regression to find the equation for…

A: use the calculator to find the linear regression in your calculator press STAT select edit by…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…

A: f(x,y,z)=-2excos(yz) P0(0,0,0) A=-5i+3j+k

Q: Given y = f(u) and u = g(x), find (1) × ² y=9u-2,u= dy dx = f(g(x))g'(x).

A:

Q: Rewrite the equation of the line 2x+3y=6 from standard form to slope-intercept form

A:

Q: Give your answer accurate to 3 decimal places. A man on a dock is pulling in a boat by means of a…

A: A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point…

Q: Answer the following Questions: 1. Evaluate the integral using partial fractions method: ²+1)…

A:

Q: Find lim_h(x), if it exists. (If an answer does not exist, enter DNE.) (a) (b) (c) X-8 f(x) = 9x² +…

A:

Q: Numerically estimate the absolute extrema of the function f(x)=x4-28²-32x+1 on the interval [-1,1].…

A: We have to find the absolute minima and maxima.

Q: alculate the derivative of x³y+yºz+xzº = 9 using implicit differentiation. Or

A: Given query is to find indicated derivative.

Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

A:

Q: Exercise 1. Let an 2n 3n+ 1 (a) Determine whether (an) is convergent. (b) Determine whether an is…

A: Part (a) A sequence an is said to be convergent if limn→∞an exists and is finite. Determine limn→∞an…

Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

A:

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship…

A:

Q: Find the exact length of the curve. 36y² = (x²-4)³, 2≤x≤9, y20

A:

Q: 1. Find a parameterization of the tangent line to r(t) = (- sin(2t), t², cos(2t)) at the point (0,2,…

A: Given :- rt=-sin2t,t2,cos2t

Q: Find the critical numbers of the function. y-2 y² - 2y + 4 g(y) =

A: Given: gy=y-2y2-2y+4.Formula we will use here for g'y : ddyfg=gdfdy-fdgdyg2.

Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Given: the derivative of the function, f'x=4fx+5x

Q: Q4 Calculate the volume of the solid obtained by rotating the region bounded by the parabola y =…

A: Topic = Volume

Q: If demand is unitary when the unit price is p = $7, then revenue will decrease if the unit price is…

A:

Q: Use the Ratio Test to determine whether the series converges absolutely or diverges. 3(k!)² 5(2k)! 8…

A:

Q: Find the derivative of the function. 14 logg(t) t g' (t) = g(t) =

A: Topic = Derivative

Q: Please show your answer to 4 decimal places. - 4x² - y²-x+y Suppose that f(x, y) = e then the…

A:

Q: The base of a triangle is shrinking at a rate of 6 cm/s and the height of the triangle is increasing…

A: solution:-the base of triangle is shrinking at a rate of 6 cm/sddxbase=-6 cm/s  { decreasing}the…

Q: A function f (x) is continuous at x = a if: 1.a is in the domain of f (x) II. lim f(x) exists x→a…

A:

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A:

Q: Find the absolute maximum and absolute minimum of the function f(x) = 2 sin (x) cos (x) over the…

A: Please see the below picture for detailed solution.

Q: ← Find fx (x,y) and fy(x,y). Then find fx (2, -1) and fy(-4,3). f(x,y) = In 9x¹ +8x²y² fx(x,y)=…

A:

Q: 5 The gain of an amplifier is found to be G= 20 log (10V out): The tasks are to find equations for:…

A:

Q: Use regression to find an exponential equation that best fits the data above. The equation has form…

A: use the calculator to find the exponential regression in your calculator press STAT select edit by…

Q: بنا -3 Amplitude: -2 Period: Midline: y = 7 6 Based on the graph above, determine the amplitude,…

A: We have given graph of the function  Amplitude is the height from the centre line to peak.…

Q: In what directions is the derivative of f(x,y) = xy + y² at P(3,5) equal to zero? Select the correct…

A: option A is correct

Q: Given y = f(u) and u = g(x), find = f'(g(x))g'(x). dy dx y=% U=COS X dx =

A: If y=f(u) and u=g(x) then dydx = f'(g(x))g'(x) .

Q: Question 1 2³-8 limx→2 2+2-8 =

A:

Q: Below are data on the population of a species of moths that inhabit an island and breed annually…

A:

Q: co|= 5 Thus fff(x, y)dA = [' [ А 0 drdo

A: To determine the double integral shown below.∬fx, y dA=∫0π3∫15? dr dθAlso, to evaluate the above…

Q: Evaluate the function at the points (-8, 0), (6, -6), and (0,24). k(x, y) = xe-3 (Express numbers in…

A:

Q: Use the arc length formula to find the length of the curve y=√16-x²,0 ≤ x ≤ 4. Check your answer by…

A:

Q: A quadratic function f is given. f(x) = x2 + 2x − 1 (a) Express f in standard form

A: Topic = Function

Q: Write the function below in the form y = f(u) and u = g(x), then find y = cos (csc x) What are the…

A:

Q: Find the half-life of a radioactive substance if 220 grams of the substance decays to 190 grams in 5…

A:

Q: Please solve using related rates and implicit differentiation: A long ladder 20 feet long is…

A:

Q: Find the absolute maximum and absolute minimum of the function f(x) Provide your answer below: •…

A: Let's find absolute maximum and minimum value.

Q: Suppose z = x² sin y, x = −5s² + 3t², y = -6st. A. Use the chain rule to find 53 33 and as functions…

A:

Q: nd a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: