Question 6 Calculate the volume of a solid on the first octant and under the plane defined by 2x+5y+6z=54. Round off only on the final answer expressed in 3 decimal places. Add your answer

Q: Find the total mass of the solid region W defined by x ≥ 0, y ≥ 0, x² + y² ≤ 4, x ≤ z ≤ 29 - x (in…

A:

Q: Find the absolute extreme values of the function on the interval. 2) f(x)= x8/3, -1≤x≤8

A: Given: fx=x83

Q: A ball is thrown vertically up from the ground. If the positive direction is upward, then h = -16t²…

A: Answer is in step 2.

Q: Solve the following first order separable differential equation. Show the outline of the solution…

A:

Q: The marginal cost of the xth box of light bulbs is 10 + C(x) = [In(x + 1)] (x + 1)² 7 and the fixed…

A:

Q: (D² -3D +2)y = (1+e×)-¹

A: D2-3D+2y=1+e-x-1 In this question we have to find the complementary function and particular…

Q: Use the table below to find X f'(x) g'(x) 1 2 1 [1.3f(x)] |x = 5 = 253 1 [1.3f(x)] dx 3 4 1 2 لی اند…

A:

Q: Find the absolute maximum and minimum of f(x, y) = 2x + 2y within the domain x² + y² ≤ 9. Please…

A: Let's find absolute maximum and minimum by using Lagrange multipliers.

Q: Given the graph of f(x), sketch an approximate graph of f'(x). 3) 66 +4 -2 AH ++ Af(x) HT

A: According to guidelines, we can solve only one question at a time. If you need help with other parts…

Q: A particle moves along a horizontal line. Its position function is s(t) for 120. Find the velocity…

A:

Q: Helium is pumped into a spherical balloon at a rate of 4 cubic feet per second. How fast is the…

A:

Q: Question 6 T Given the function f(x) Determine the open interval(s) where the function is concave…

A:

Q: 6. Use the unit circle to evaluate the following: (a) (c) (e) (g) sin(7) cos (4) sin (¹5) csc (-²)…

A:

Q: Using differentials, approximate √9.1

A:

Q: Let z(x, y) = = Calculate მz მ3 მ: Ət || მ მs - 82 _ 4y where X = 9s + 3t & ყ = მ: Ət by first…

A:

Q: III. Find the first derivative of the following functions. Simplify as much as possible sin (r) rcos…

A:

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A:

Q: Decide whether the series k=1 1 k7 + 3k + 6 converges.

A:

Q: Convert the angle -17 from degrees to radians. Answer with an exact value and not and approximation.…

A:

Q: 9) Use the Intermediate Value Theorem to prove that there is a number c, such that, Ac)=-1 for the…

A: Given function:- fx=x5-2x3+x2+2

Q: For the Max Y isnt 70 and for the mim the Y isn't right.

A: The given function is fx=20x3-30x2-120x+10 on the interval -2, 3. We have to find the absolute…

Q: Solve the following Differential equations: 1- (x²-yx²)dy + (y² + x²y²)dx = 0

A:

Q: 2. For what values of "C" is the function & continuous on (-00,00) When fix)=2x+c.ifx<l [3x²+20,…

A:

Q: Use a definite integral to find the area under the curve between the given x-values. 3 f(x) = from x…

A:

Q: Estimate the area under the graph of f(x): approximating rectangles and right endpoints. Rn = = L₁ =…

A:

Q: Question Let f(x) = (6+5)* f(x) has one critical value at A = For a A, f(x) is Question Help: Video…

A:

Q: An anonymous survey of college students was taken to determine behaviors regarding alcohol,…

A: Note:- This is having multiple sub parts and according to company we can do maximum 3 sub parts so i…

Q: Let z(x, y) = xe² where x = dx dy dz dt by first finding & and using the chain rule. dt dt Calculate…

A: Given query is to find indicated derivative.

Q: Rewrite the system of inequalities, adding slack variables or subtracting surplus variables as…

A:

Q: The present value of a sum of money is the amount that must be invested now, at a given rate of…

A:

Q: I For the equation h(x) = -√x+1 a) Complete the table: h(x) x 0 1 4 a b) Use the appropriate tool to…

A:

Q: - 2xy³ + y² + (xy³ – 2y)y' = 0

A:

Q: The length of a rectangle is increasing at a rate of 5 meters per minute and the width is increasing…

A: Given, rate of change of length, dLdt=5 meter/min. rate of change of width, dwdt=1 meter/min.…

Q: spherical balloon is being deflated so that its radius is decreasing at a te of 2 cm/min. How…

A:

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $577 each for 81…

A: Given query is to find the maximum revenue.

Q: 1. Determine what type of conic the equation 9x² - 4y² + 54x + 16y + 29 = 0, represents, find all…

A:

Q: Find the Jacobian J of the transformation T(u, v, w) = (-3u +5v-3w, 2u+4v+3w, 4u+v=4w) = (x, y, z).…

A: Given:- Tu,v,w=-3u+5v-3w,2u+4v+3w,4u+v-4w=x,y,z

Q: reference and terminal point of 13pi/4

A: reference angle - angle between terminal arm and x axis let θ = 13π4

Q: For the above rational function f(x) = < X < Submit Question 3Q 19 4x² + 2 Jump to Answer " identify…

A: Given:=19ddx4x2+2-1  fx=194x2+2 An inflection point is a point on the graph at which the second…

Q: Concept check: Evaluate the following integrals: INTLŐ x² dx 2.5 NIVE

A:

Q: What is the equation of the tangent line to the curve y=In(x++1) at x = 1 ?

A:

Q: The following table shows the average life expectancies in several countries. Assume that all…

A: The following table shows the average life expectancy in several countries. All the premiums you…

Q: Similarly, to find the slope of the secant line passing through P(−2, 4) and Q(−2.5, 3.75),…

A:

Q: 1 3. Convert the integral IM x² + y² + z² and evaluate it. (Think about why converting to spherical…

A:

Q: The radius of a sphere is decreasing at a rate of 2 meters per minute. When the radius is 12 meters,…

A:

Q: The population (in hundreds) of fish in a pond is given by P (t) = 2t+ sin(2t - 10) t months from…

A: Rate of change

Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K)= 70L0.9 K0.1 where L…

A: Given :- PL,k=70L0.9K0.1 L=units of laborK=units of capital

Q: csc² x csc²x csc x cot x sin² x 1 + cos x 56. sec²x + tan²x = 1 + 2 tan² x 54.

A:

Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: Given: t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v(ft/s) 0 5.7 9.2 15.5 18.8 19.4 20 To find the lower…