Find all the relative extrema and saddle point(s) of f(x,y) = 3xy2 + x3 - 3y2 - 3x2 +

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Q: Let f(x) = {5² (52–3, 2x, x > 1, x < 1, Does lim f(x) exist? Why or why not? x 3 1. Yes because you…

A: To determine whether the given limit exists or not

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Q: Let a≠ (doesn't equal) 0. Solve for x                  ax+b=c

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Q: Sketch the region enclosed by y = 2x and y = 9x². Find the area of the regio Question Help: Video…

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Q: Suppose a state lottery prize of $4 million is to be paid in 20 payments of $200,000 each at the end…

A: Given Lottery prize $4×10⁶ Paid in 20payment of =$200000each  Time period= 20year  Rate =10%annually

Q: T. SOLVE THE GIVEN BERNOULS EQUATION 32 xdy + ydx = 3x³y²dx

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Q: A cylindrical soup can has a diameter of 3 in. and is 4.7 in. tall. Find the volume of the ca in.3…

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Q: Sketch a graph of a = 1 + cos(t), y = 2 + sin(t), 0 < t < 27 . -5 -4 -3 -2 -1 Clear All Draw: 6. 4-…

A: Please see the below picture for detailed solution.

Q: Given the function: a. Find f'(x) and f"(x) b. Determine the following properties of the graph of f.…

A: Please see the below picture for detailed solution.

Q: Write an equation for the following conic section: A hyperbola with vertices (-3,-3) and (7,-3)…

A: Answer is in step 2.

Q: Using the graph of f(x) above answer the following. If a limit does not exist, type DNE: f(x) = a)…

A: Graph of the function is given, we have to find the limits a) limx→6-fxb) limx→1fxc) limx→-∞fxd)…

Q: A retailer has been selling 400 tablet computers a week at $350 each. The marketing department…

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Q: Given the function f(x) = -x³+3x Find f'(x) and f"(x). Determine the following properties of the…

A: As per Bartleby guidelines we only give first three questions answers. Please repost for other…

Q: Let f(x) = 4√√x+5x. Verify that f(x) satisfies the conditions of Mean Value Theorem on the interval…

A: Here is the solution:

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: 3 [(5x² +9) dx 0 3 (1) (5x² +9) dx = (Type an integer or a simplified fraction.) 0

A: ∫xndx=xn+1n+1+c∫03(5x2+9)dx=5∫03x2dx+9∫03dx

Q: Find the critical point and the interval on which the given function is increasing or decreasing,…

A: dxndx=nxn-1f(x)=5x2+4for critical points put f'(x)=0

Q: 3. Evaluate the double integral. 2-1 (coey) dA where D is the regiou bounded by y-0. y -a², and

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Find the nth Maclaurin polynomial for the function. f(x) = e P(x) = n = 3

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Q: Using the production and geological data,the management of an oil company estimates that oil will be…

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Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-8x-33. Partition [0,6] into three…

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Q: 3x √e³x dx = 0 (Type an integer or decimal rounded to the nearest thousandth as needed.)

A: ∫eaxdx=eaxa+c

Q: Determine an equation for a plane through the point: (-7, -9, 4) parallel to the plane 3x + y + z =…

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Q: Sketch a graph of x = -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 - 2t2, y = t - 1. 1 2 3 est 4 5

A: Here is the solution.

Q: Evaluate. b 1 S½x³dx 2 a

A: We can solve this as follows:

Q: Solve each equation for x. Give both an exact value and a decimal approximation, correct to three…

A: Solve the given equations and find value of x. We use property of logarithmic function and quadratic…

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Q: Find the area enclosed by the ellipse a cos(t), y = b sin(t) with 0 ≤ t ≤ 2.

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Q: Let f(x,y)=x²-3xy-y2. Compute f(2,0) and 1(2. - 6). f(2,0) = (Simplify your answer.)

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Q: dn A flu is spreading at a rate of = 180t -3t2, where is the number of people dt affected at any…

A: We need to find n in terms of t and no of people after 2 days.

Q: b) Find a function f(x) such that both f′(x) = cos(x) + e^2x + 2x and the tangent line to f(x) at x…

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Q: Determine a vector equation for the line segment connecting the points: P = (-9, -4, 3) and Q = (-6,…

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Q: The capitalized cost, c, of an asset over its lifetime is th will occur in the future. It is…

A: Given : for given values

Q: Find sin 2x, cos 2x, and tan 2x if tanx = 3/4 and x terminates in quadrant III.

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Q: Find the present value of an annuity of $5000 paid at the end of each 6-month period for 6 years if…

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Q: A cone-shaped pile of sawdust has a base diameter of 24 feet, and is 7 feet tall. Find the volume of…

A: Find the volume

Q: A circle has a radius of 5 cm. If the radius is increased by 0.1 mm.. what is the estimated increase…

A: Given query is to find the Increase in area.

Q: Evaluate. Use a capital C for any constant. [2√x = 3 dx = |

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Q: (D+ + 5D²+4) y 11 cos (3x +4

A: The given differential equation is: D4+5D2+4y=cos3x+4   So, the auxiliary equation is: m4+5m2+4=0…

Q: Use the Fundamental Theorem to evaluate the definite integral exactly. So -0.1t e dt =

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Q: antiderivatives with trig functions

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Q: on v. dr, where C' is the triangle with vertices (5, 0, 0), (0, 0, 5), and (0, 4, 0), traversed in…

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Q: ).  Find the Taylor series at a =  ? 2 for f(x) = 4 cos(x). ∞       n = 0   please hsow step by…

A: Taylor series

Q: Ņ f the following statements is true? -2 0 --1- --2- t of inflection is at (5, 1). bsolute and…

A: Given query is is to find the correct option.

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

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Q: Evaluate the function y = 2x2+2 / sqrt(x) between x=3 and x=5 using the fundamental theorem of…

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Q: x A20x + A²1 A20 - + 10 = 11+ A.

A: Given query is to solve for x.

Q: If f(x)=(², what is f'(-1)? (Note: Round your answer to the nearest integer.)

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Q: Find the exact value of each of the following under the given conditions. a. cos (α + B) b. sin (x +…

A: Explanation of the answer is as follows