Help please Calculate the total area of the region described. Do not count area beneath the x-axis as negative.  Bounded by the curve y = 4 − x2, the x-axis, and the lines x = −2 and x = 4

Q: f(x) = 2 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be…

A:

Q: 7. The function f(x)= is known as the Sobolewski Happiness Indication Threshold. This function shows…

A: As per the guideline only 3 subpart is allowed to solve at a time for further help ask same question…

Q: (part 2 of 4) Determine fxx + fyy when f(x, y) = (x - 5)(y+3)(x+y+1). 1. fxx + fyy = 2(x + y − 2) -…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Consider the function FiR² -> IR given by f(x,y) := 3x² + 3y² for all (x, y) in 1² 2 fix an…

A:

Q: where a represents the level of production and C' (a) represents the marginal cost. At the…

A: Let's consider the marginal cost functionC'x=-0.04x+29, where x represents the level of production…

Q: Evaluate the geometric series or state that it diverges. 9e² 27e³ 64² 5127³ 3e 1+ + 8 + Select the…

A:

Q: (2x + 3)y' = y + √2x + 3, when x = -1, y = 0.

A:

Q: Evaluate √2 4 √1-x² dx.

A:

Q: log(3x+5)+4=6

A: Given, log(3x+5)+4=6

Q: Consider the following equation, if 0<x<1, periodic of period 2. f(x) = -2, if -1 ≤ x  ≤ 0, f(x) =…

A: The Graph is in step 2.

Q: Evaluate each logarithm using properties of logarithms and the following facts. log (x) = = 3.7 log₂…

A:

Q: 27. 28. 29. Answer+ - S₁³ VE [² (1 - 8v³ + 16v7) dv + √x dx dt

A:

Q: A ladder 10 m long is leaning against a vertical wall. If the bottom of the ladder is pulled…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: "! Use the Second Derivatives Test to find all relative extrema and saddle points of the following…

A: The given problem is solved below in detail.

Q: Suppose f'(x) = 8x³ + 12x + 2 and ƒ(1) = −4. Then f(−1) equals . (Enter a number for your answer.)

A:

Q: Find the dimension of a rectangle with area 1000 m² whose perimeter is as small

A: As per Bartleby answering guidelines when multiple question are posted in single picture then the…

Q: 68. π/2 0 cos x sin (sin x) dx

A:

Q: S sin 3x (csc 3x - cos ³3x) dx

A:

Q: Problem 5: Find the two points on the curve y = 2x² that are closest to the origin. (Explain why x =…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the given function is a…

Q: Use the Integral Test to determine whether the infinite series is convergent. Fill in the…

A:

Q: During the summer, Southeast Pools services 120 pools in the area. Each pool needs 100 ml of…

A: Let x buckets of chlorine be required

Q: Problem 6: Find the point (x,y) with x > 0 and y> 0 that lies on the curve y = 2x² and produces the…

A:

Q: A spherical balloon is being inflated with helium at a rate of 201 cm³/min. How fast is the…

A: topic - application of differentiation

Q: Suppose you drive 0.6 miles on a road so that the vertical distance changes from 0 to 150 feet. What…

A: Let the angle of elevation of the road be θ. Given that while driving 0.6 miles on a road, the…

Q: Given that cos 0 = sin 20 = cos 20 = 60 and sin 8<0, determine the values of the sine and cosine…

A:

Q: Convert 266∘ to radians:  π⋅-------? answer is 1.4777777777778

A: To convert degree into raidan

Q: If [ f(a)dx= [ f(x) dx? 00 12 12 -2 2 ◄ Previous = 7 and [ f(x) f(x) dx = 5, what is -3

A: Please see the below picture for detailed solution.

Q: Determine the convergence or the divergence of the series: Σ2inn n=1

A: Given function, ∑n=1∞ 2lnn

Q: Question 9 Which of the following is the complete set of roots of the auxiliary equation…

A: We need to choose correct option.

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A:

Q: Graph the function over a two-period interval. y=-2-- tan 2 x + 1 2 2(x+. 3r 2

A:

Q: Determine the values of where the function f (x) is not continuous. Label each discontinuity as…

A: Given Functionfx = x3+5x≤3x+3x&gt;3

Q: Solve the equation algebraically, and then use a calculator to find the values on th [0,2π).

A: Given query is to find the solution of the expression.

Q: 4.37. Suppose f(z) and g(z) are integrable. Prove that (a) [f(z) dz= - [ƒ(2) d² b [f(z) dz, (b)…

A:

Q: Determine whether the following series converges or diverges. Input C for convergence and D for…

A:

Q: The distance, in feet, a stone drops in t seconds is given by d(t) = 16t2. The depth of a hole is to…

A: Given: d(t)= 16t2 dt= 2/10th of a second

Q: Suppose F'(x) = 5x² + 6 and F (0) = 1. Find the value of F (b) for b = 0, 0.1, 0.4, 0.8, and 2.0.…

A:

Q: 3 D P + 402-7P+2 =0

A:

Q: Suppose h(x) = 32-5 . What is the correct result for the derivative of h with respect to x?

A:

Q: Find the most general antiderivative of f(x) = 2 + 4 cosh(x) + secx tan x.

A:

Q: 6+√2 √3

A: 6+23=6+23×33              =6+233×3              =63+233              =63+2×33

Q: The radius of a circle is increasing at a rate of 10 centimeters per minute. Find the rate of change…

A: The radius of a circle is increasing at a rate of 10 centimeters per minute. We have to find the…

Q: its hard to understad in the form its written in. can you  pllease write on a paper

A:

Q: 5. Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A: Solution: Given function, f(x)= 2/x + 2 ,[1,5] n =4

Q: A cannon ball is shot into the air such that its height h, in metres, after time t, in seconds, can…

A: We have given height of the cannon ball ht=-9.8t2+78.4t+1.5 Differentiating with respect to t…

Q: Verify that the function f(x) = 2x²-3x+1 satisfies the hypothesis of the Mean Value Theorem on [0,…

A: We have to slove above question

Q: What is the value of ㅇㅈ ㅇ ㅠ ㅇ ㅇ 1 O 1 dx √4-x² ?

A:

Q: 29. [(5x-7)-² dx = k(5x-7)¹ + [√x+1dx=k(x + 1)/² + C (4-x)-¹ dx = k ln 14-x|+C 30. 31.

A: Given problems:- 29.  ∫5x-7-2dx=k5x-7-1+C 31.  ∫4-x-1dx=kln4-x+c

Q: 4y (5) - 4y (4) — 19y+18y"+12y'- 8y=0

A:

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

A: