Find the maxima and minima the function f(x, y, z) = xy²z³ under the condi- tions x + y + z = 6, x > 0, y > 0, z > 0.

Q: g(t) = t³+ t².

A: g(t)=t3+t2

Q: Find the area of the region between the curve and the x-axis. f(x)=e*-6 from 0 to In 6

A: Tofind the area of the region between the curve and the x-axis.

Q: Given the sequence an n>1 = n²-1 n+3 ' (a) List the first 5 terms of this sequence. Give exact…

A: The given sequence .The aim is to find the following values,(a) First five terms.(b) The value of…

Q: Question 14 You have been given the following signal (shown below). What is its laplace transform?…

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Q: 11. Use the graph of f to sketch the graph of f'.

A: The given graph of f

Q: Given f(x)dx= 3 and 3 } pixkidk g(x)dx= -1, find 3 158x [5f(x)-2g(x)]dx. ...

A: Integral f(x) is equal to 3 limit from 3 to 12.Integral g(x) is equal to -1 limit from 3 to 12.

Q: Consider the following function. 1 (x-4)² Step 1 of 2: Determine the more basic function that has…

A: The given function is,

Q: 7. Consider f(x) = for X for (x-3)² for (a) Sketch the graph of f. 3-x (b) Find each limit. (i) lim…

A: as per our guidelines we can answer only 3 sub parts of a given question so kindly repost the…

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

A:

Q: 2 x² e ³+1 dx

A: We do only first part of multiple questions.please re-post other parts.

Q: Find the indefinite integral. J (100e5x) dx = +C

A:

Q: The graph of a function f(x) is given below. Use the midpoint Riemann sum with 4 sub-intervals to…

A: A graph of the function is given.The aim is to find the midpoint Riemann sum with  subdivisions.

Q: 6. Suppose f f(x) dx = -5, and fg g(x) dx = 1. Evaluate the following integrals using the properties…

A: To find values of given definite integrals.

Q: Given f'(t) = -0.2t-e-t, compute f(4)-f(1).

A:

Q: Find all of the real and imaginary zeros for the polynomial function. y=11x³-67x²+281x-25

A:

Q: -10 -8 -6 -4 -2. 9 55 40 -6 16 V 4 O 8 10 TERMATH Write the standard equation for the hyperbola…

A: given graph of hyperbola

Q: Find the value of f(x) = -x +7, a=5 1 OA 2 df 1 dx OB. 7 O c. 2 1 OD. 7 at x = f(a).

A:

Q: A) Consider the vector field F(x, y, z) = (yz, -9xz, -8xy). Find the divergence and curl of F.…

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Q: The population of the world in 1987 was 5 billion and the continuous growth rate was estimated at…

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Q: The population of the world in 1987 was 5 billion and the continuous growth rate was estimated at…

A:

Q: Considering the definition of f(x) below, find lim f(x). x-*6 Select the correct answer below: O -56…

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Q: Suppose we are trying to show that lim f(x) = L where the graph of f (x) is given below. A distance…

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Q: 3 x¹ +1 dx

A: The given integral is (x4+1)/x2, limit from 1 to 3.

Q: Consider the following function. f(x) = -5x Complete the table.

A:

Q: A student council consists of 15 students. (a) How many ways can a committee of eight be selected…

A: Given that total number of students = 15a) number of ways to select a committee of eight= b) Let A…

Q: Find all solutions of the equation in the interval [0,2+). 2 sin 20-3 sin 0+1=0

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

A: The amount of carbon-14 present in animal bones t years after the animal's death is given…

Q: ag ²g If g(x, y) = ln[x² + (y + 1)²] show that a2 +² = 0 (except at (0,−1)). ar²

A:

Q: Find the angle between the vectors. u=3i-j, v = -2i+5j+2k The angle between the vectors is 0 (Round…

A: u=3i-jv=-2i+5j+2k

Q: Find the area under the given curve over the indicated interval. y = 4x; x =1 to x = 3

A: y=4x, x=1 to x=3

Q: Find the general solution of the linear nonhomogeneous recurrence relation An = 3an-1 + 10an-2 +…

A:

Q: If F(u, v) = u³ ln(2v) and u = x - 2y, v = " y compute 8² F Әхду

A: We need to find derivative of function F with respect to x and y.

Q: Determine from the graph whether the function has any absolute extreme values on the interval [a,…

A: To determine from the graph whether the function has any absolute extreme values on the interval .

Q: √3x + 16-5 x-3 18. lim- x 3

A: we need to find out the limit.

Q: Determine if the following function is continuous and differentiable at x = 0. ex - sin x f(x) = {…

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Q: Please answer the following: Thanks Given 6xy= 2 + y² , a) Find the coordinates of a point…

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Q: 9. Find the interval of convergence of the series: 2¹ (x + 3)¹ In(n) ∞ n=2

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Q: Suppose a dog jumps in the air and that its height (in feet) above the ground is given by h=-16t²…

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Q: Is the series ∑(1/(n + (1/n))), from n = 1 to infinity, comparable to the series ∑(1/(2n)), and can…

A: Solution is following in explanation step.

Q: S 3 6x²4x³ dx 24

A:

Q: Suzanne must choose between two job offers. The first job offers $56,000 for the first year. Each…

A: Given that Suzanne must choose between two job offers. The first job offers $56,000 for the first…

Q: For f(x) = Evaluate the following expression. Select the correct answer below: 01 04 02 O The limit…

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Q: The hull speed (in knotts) of any watercraft is given by V = 1.34-L¹/2 where L is the length of the…

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Q: Determine the integral by making the appropriate substitution. √ 2x (x² +17) 3³ dx

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Q: Evaluate the iterated integral. LT (3) (3x - 2y) dy dx

A: we need to evaluate the given double integration.

Q: d) Write an expression that represents the approximate value of g(x) for a generic value x in the…

A: The graph of the function g'(x) is shown as,

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: Find the point on the line 3x + 7y+ 6 = 0 which is closest to the point (-4,-3). )

A:

Q: For the following equation, determine the values of the missing entries. Reduce all fractions to…

A: To find the value of y, substitute the value of x and solve for y.To find the value of x, substitute…

Q: A landscape architect would like to design a rectangular flower garden with an area of 160 square…

A: