Find div F and curl F if F(x, y, z) = 3y°z°i – 3x*2°j – 3xy*k. - div F= curl F=

Q: Answer each question appropriately. f(x) dx = 9. Find -2 f(x) dx , if f is odd. Suppose that

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Q: If f(x) is continuous on the interval [a, b] and a <c < b, | f(x) dæ is equal to then

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Q: Find the area with respect to y of the region bounded by x = y² + 2 , x = 0 , y =– 1, and y = 2. |

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Q: A concert promoter needs to make $81,000 from the sale of 1800 tickets. The promoter charges $40 for…

A: x+y=1800x= number of $40 ticketsy= number of $70 tickets

Q: The circumference of a sphere was measured to be 81 cm with a possible error of 0.5 cm. Use linear…

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Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i+ 11 sin(t)j + tk; t= 2 T() - T N 2.

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Q: 1 Answer: diverges n In n n=2

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Q: Sketch the region enclosed by Y 6x and y = 9x". Find the area of the region.

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Q: Given g(x) =- 1 g(x)-g(a) find -, where x# a. %3D x+3 X-a

A: Solving the problem by finding the value if given expression.

Q: Given the formula B V R, where statement B is true and statement R is False, the whole formula would…

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Q: A ball is thrown into the air and its position is given by h(t) = - t² + 85t + 2 where h is the…

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Q: Determine the value of b:

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Q: Evaluate the definite integral. i+e"j+t k)dt 15t (el3 – 1) i – (e~1 – 1) j +k i- (e - 1) j+, k O els…

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Q: Consider a wood beam (see figure) carrying a uniform load of 20.5 kN/m (which includes the weight of…

A: answer is in next step

Q: 6/9 Correct Question 8 of 9, Step 1 of 1 Find the total area bounded by the x-axis and the curve y =…

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Q: For the function y=JHx +1 + Find: a) The equation of the tang ent liné at X = 2 b) The equation of…

A: Given,            y=4x+1+2xTo find : a The equation of the tangent line at x=2.                b The…

Q: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 3x…

A: Solution:

Q: Use the principle of mathematical induction to show that the given statement is true for all natural…

A: Question number 6 has been solved as per the requirement of the student.   This question can be…

Q: Oil is leaking out of a ruptured tanker at the rate of r(t)=40e^(-0.03t) thousand liters per minute.…

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Q: Find V (F x G), if F(x, y, z) = 11xi +j+ 13yk and G(x, y, z) = xi + yj – zk. V. (F x G) =

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Q: 6) Determine constants a and b such that f(x) is continuous for all values of x. ax + 3, if x> 5 8,…

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Q: 2+ 12 40. Find all local extreme values of f(a) The FIRST local extreme value, moving from left to…

A: Find out the maxima and minima.

Q: Find the equation of the line tangent to the graph of fox)= (In x) at x=8 (Type your answer in…

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Q: View Policies Current Attempt in Progress Find curl (6z i + 7x j + 9y k). curl (6z i + 7x j + 9y k)…

A: Solution:

Q: An object moves with velocity as given in the graph below (in ft/s How far did the object travel…

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Q: Write the equation of the trigonometric graph. try y = sin)+O 5 4 3 37 5 2. 2. 2 -2

A: Given query is to find the equation if the graph.

Q: Consider the following equations. f(x) = x5 + 3 %3D g(x) x + 3 %3D

A: The region is bounded by the graphs,  fx=x5+3 and gx=x+3

Q: dy Then find the slope of the curve at the given point dx Differentiate implicitly to find…

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Q: Using the laplace transformation formula, ∫ f(t) e^−st dt evaluate L[15-3t]

A: The given laplace transform,  L15-3t

Q: Determine the equation of the midline of the following graph. 5 3 2 -61 -37 6A 121 -1 -2 -3 -4 -5 4.…

A: see below the answer and explanation

Q: Save & Exit Certify Lesson: 6.4 Area (with Applications) DSHUN EDWARDS 4/9 Question 6 of 9, Step 1…

A: Given query is to find the increased in population.

Q: Find the surface area of the portion of the cone z=ax +y within the cylinder x+y =1.

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Q: Find the sum of the convergent series. 4 Σ n(n + 2) n = 1

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Q: A 15-kg quantity of a radioactive isotope decays to 7 kg after 11 years. Find the decay constant of…

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Q: 3. Suppose that the revenue in selling a tables is equal to 200x-0.25a2 dollars, and producing a…

A: topic - application of derivatives

Q: Consider the following equations. y = -x2 + 2x + 1 y = -x + 1

A: Solution: y = -x2 +2x +1 y =-x+1

Q: Calculate the area enclosed by the f(x) = x3 – 6x² + 8x and the x-axis. curve

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Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

Q: Evaluate the indefinite integral. .3 6 + x*dx

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Q: 5x? + 8x + 3. If Aæ 0.3 at x = 5, use linear approximation to estimate Ay Let y Ay =

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: We use the concept of derivatives to find the absolute minimum and absolute Maxima

Q: The curved portion of the v-t curve shown in the figure are second degree parabolas with horizontal…

A: answer is in next step

Q: If we apply Rolle's Theorem to the function f(x) = 2x2 – 16x – 4 on the interval [2, 6], how many…

A: We state Rolle's theorem here ------    Let f : [a,b] -&gt; R be a function continuous on [a,b] and…

Q: Consider the change of variable u = xy and v = 3y + 2x and the integral 2.r + 3y – 6 =0 - ||. (2r²y…

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Q: An Easter ham is put in the oven with a temperature probe embedded in the center. Assume the…

A: We are given that, an Easter ham whose temperature is 40° is kept in an ovan whose temperature is…

Q: Find the derivative of the function f(x) = 4v3x² – x. 12х - 2 A. V3x2-1 6х - 2 бх — 1 C. V3x2 –1 E.…

A: To find the derivative of f(x)=43x2-x

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: Explained below

Q: y = x°y=/2;y(1) = 1 -1/2; y(1) = 1

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Q: the tunchon: a certain check point is given by 30) 13 VE Find the, çar pesihon, St), af Assame that…

A: In this velocity function is given, so to find the position function we need to integrate the…

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: Use limit concept