f(x,y) = e (3x² + 3y2)

Q: The volume of the solid is formed by revolving the region about the x-axis. -2 -1 -1+ y=x²+2 Answer…

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Q: Carbon-14 has a half-life of 5730 years. A fossil is 10,000 years old. What percent of carbon-14…

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Q: Find the indefinite integral using the substitution x = 2 sec(0). (Use C for the constant of…

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Q: (x5 + 3y)dx - xdy = 0

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Q: 4. (x + y)dx + (2x - y)dy = 0.

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Q: Comparedy and4y for y=3x²-1 atx = 2 with 4x = dx = 0.06 Give your answers to four decimal places. A…

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Q: Question #6 - Find the following for the function f(x)=20x²-3x³ a) The coordinates for the relative…

A: Domain of  20x3-3x5 :  Solution:  -∞ <x<∞ Interval Notation: -∞ , ∞ Range of 20x3-3x5:…

Q: Classify each differential equation as separable, linear, homogeneous, or bernoulli equation. Some…

A: Given differential equation dydx = y3 + yx3 + x

Q: Graph the given equation. 2x - 5y = 30

A: This is a problem related to linear equation. Please follow the procedure given below.

Q: c. The seemingly different answers are the same, because they differ by a constant. In fact, (x +…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3-√x lim x→9 9x - x²

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Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Integrate with respect to x

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (7 + h)−¹ – 7–1 h…

A: To find:- limh→07+h-1-7-1h

Q: . Solve the IVP: 2x²ydy − 1 = x¹, y(1) = 1. You must give your solution in explicit form.

A: 2x2ydydx-1=x4y(1)=12x2ydydx=x4+1∫xndx=xn+1n+1+c

Q: e the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. (Use C for the…

A: This is a problem related to integration. Please follow the procedure given below.

Q: 3x The equation r(t) = (3 cos t)i + (5 sin t) j+(3t) k is the position of a particle in space at…

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Q: Show that the function f(x, y) = points where it is defined. arctan(y/x) is harmonic, at all those

A: Introduction: A function u(x, y) is known as harmonic function when it is twice continuously…

Q: Find the area of the region enclosed by y = 1.25x and x = 3.5 - y². -1 1 7 -1 w Use horizontal…

A: Figure:-

Q: For q units of a product, a manufacturer's cost is C (q) dollars and revenue is R (q) dollars, with…

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Q: 2.] xydx + (x² + y² + y )dy = 0 y(0) = 1

A: To solve the following initial value problem. xy dx+x2+y2+y dy=0, y0=1

Q: Determine the derivative of = x³. f(x) = x³ when 2. f'(x) 3. f'(x) 4. f'(x) = 5. f'(x) 6. f'(x) =…

A: f(x)=x5xlnxn=nlnxd dx(lnx=1xd dx(a.b)=a×dbdx+b×dadx

Q: 7.f(x) = 10x4 - 3x³ + 8x² - 4x - 8 8.f(x) = 4x5 + 3x² + 9x³ − 8x² + 16x - 24

A: Hi this is your answer.

Q: What is the equation of the tangent line of y=8 sin x cos x at the value x= π/4

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Q: dy Solve + 3y = e*y², y(0) = 6 by making the appropriate substitution. dx

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Q: Let f(x) = 1 + 1/2. (a) Find the arithmetic average of the values f(), ƒ(3), ƒ(§), ƒ(²), and ƒ(2).…

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Q: Let the function f be defined by tan(x) -1 sec(x) (a) Use the Quotient Rule to differentiate the…

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Q: Find all critical numbers of the function f(x) = sin77x + cos7x, 0<x < 품. 5 T ⓐ 플. 7 28 IT 4 ⑥ C 4π…

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Q: Question 4 Classify each differential equation as separable, linear, homogeneous, bernoulli…

A: On solving this we will get

Q: Evaluate the definite integral. 1 6². lo (8v + 1)² 2 dv

A: Given: ∫011(8v+1)2dv

Q: 71) Find the following for the given function: (S+8)(x) · (S−8)(x). (18)(x) . (4)(x). (f+8)(3).…

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Q: 1. Consider the function f(x) = 412 - x² +8x| k +393 if x -5 (kx)² - 3 (a) Find the value(s) of k…

A: Given function is f(x)=412-|x2+8x|if x&lt;-5k+393if x=-5(kx)2-3if x&gt;-5

Q: d the exact location of all the relative and absolute extrema of the function. g(t) = et − t with…

A: Given: g(t)=et−t with domain [−1, 1]

Q: Classify each differential equation as separable, linear, homogeneous, or bernoulli equation. Some…

A: To classify the given differential equation

Q: Find the area of the region enclosed byy=2x³ A B C D E) 1 22 10 2 20 1 20 1 10 andy = 2x4.

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Q: Find the values of x for which the infinite geometric series 1+(4x-3)+(4x−3)² +... is convergent.

A: The given geometric series 1+4x-3+4x-32+...... We have to find the values of x for which the…

Q: 8. +9 14 + 91² 2

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Q: Based on the graph, the function is discontinuous at — - (List the values from the smallest to the…

A: A function is said to be discontinuous at all those points where there is a break in its graph.

Q: Find an equation for the tangent plane to the surface z + 2 = xy³ cos(z) at the point (2, 1, 0)

A: I have solved step by step in detail......go through the solution

Q: Find the derivative of the function. f(z) = e²/(z − 1) f'(z) = (=) z-1 e

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Q: Find the derivative of the function using the definition of derivative. h(v) = 6v² - 5 h'(v) =

A: h(v)=6v2-5according to defination of derivative h'(v)=limh→0h(v+h)-h(v)h

Q: Algebraically determine the following limits for the piecewise function defined as: y = [(x+1)²-2_x1…

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Q: If f is a differentiable function, then O True O False da [ƒ (x³)] = f'(3x²)

A: We want to differentiate f( x3 )

Q: 02 θυου (u? In(3u + 4v)) 3u? + 8uv (3u + 4v)a 12u? + 32uv (3u + 4v)a 12u2 – 32uv (3u + 4v)a –12u2 +…

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Q: hat's the derivative of y=15x cos x

A: Given: y=15x cos x To find its derivative

Q: calculus1-4s: Problem 5 (5 points) Solve the inequality Express your answer in interval notation.…

A: according to bartleby guide line we do only first part of multiple question there for please re post…

Q: If f is differentiable at x = 3, then O True False f'(3) = lim h→0 f(3+h)-f(3) h

A: here we have to choose the correct option.

Q: 1. The equation of motion for a particular object is s = (a) Find the velocity and acceleration as…

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Q: (n^ + n)(n^ − n) = (n)H -

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Q: -cy -12- k 6 5 4 3 4 -3 -2 -1. E -6-5-4 -3-2 F 4 -4 -3 -2 -

A: Topic:- calculus