Region: y = 3x √₁+x3 x-axis, 0≤x≤3. √1+x³¹ Rotated about: y-axis

Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

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Q: Find all critical points of the following function. f(x,y)=112x³ - 21x+5y² Select the correct choice…

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Q: Write the equation r+r(8 sin 0-10 cos 0) = 0 in Cartesian coordinates and identify the corresponding…

A: To write the equation  in Cartesian coordinatesand to identify the corresponding curve.

Q: ints) Determine if the improper integral is convergent or divergent. Eval- e integral if it is…

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Q: A company selling widgets has found that the number of items sold a depends upon the price p at…

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Q: Evaluate: x² ³) ₁ 1 +26 dz f dx 1+x6 If the integral divereges, enter ∞, -∞ or DNE as appropriate.…

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Q: Test the series below for convergence using the Ratio Test. n+ 5 22n+4 n=1 The limit of the ratio…

A: The ratio test:

Q: roblem #1: Use Stokes' Theorem to evaluate F-dr where F = (x+52)i + (6x+y)j + (9y−2) k and C is the…

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Q: Consider the implicit equation x²2y² = 7, where y is a function

A: x2−2y2=7ddx(x2−2y2)=ddx(7)Using the power Ruleddxxn=nxn−1

Q: Let P(h) = 23 exp(−1.1h) where we are using "exp" to denote the exponential function with base e.…

A: The function is given byTo determine: The approximate value of the rate of change in  at

Q: Find the point at which the line {-1,-3,-5} + t{5,-3,3} intersects the plane 4x-y-z= 104

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Q: Practice 7: y=x√√x Find an equation of the tangent line to the curve y = 1 + 3x that is parallel to…

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Q: at least 9. Graph four steps, y = [x] also called y = int(x)

A: In this question, we will draw the graph of the greatest integer function.

Q: (b) Use Elimination by. Addition method 2x + y = 1 3x - 2y = 5

A: 2x+y=1⟶(1)3x−2y=5⟶(2)

Q: The velocity of an object is shown in the graph below. Velocity (m/s) 5+ 4 3. -2 -3- 4- -5+ 1 2 Time…

A: The velocity of an object is shown in the graph below.To find the total displacement and distance…

Q: 6 1 √3x - 6 If the integral divereges, enter ∞, -∞ or DNE as appropriate. Report EXACT answer if the…

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Q: Evaluate the limit tan 9r lim 1-0 sin 2r

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Q: Consider the following. f(x, y) = 4x - 2y (a) Find f(4, 5) and f(4.1, 5.05) and calculate Az. f(4,…

A: Consider the function

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. (√3-1)…

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Q: Practice 1: Use the limit lim 8-0 sin =1 lim tan 41 1-0 sin 31 and trig identities to evaluate the…

A: Limt-0 tan(4t)/sin(3t)

Q: 3. Solve. 2 즐기 3 - X - 5 > 7

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Q: Find an equation for a polynomial with long run behavior g(x)=-x^4 whose only intercepts are…

A: To find the equation for a polynomial.

Q: 4. x4 (²x²-x²³-1-1 + 0 dx

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Q: Use any method to find the relative extrema of the function f(x) = x³ + 10x – 3. If there is no…

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Q: M8 n=1 4 (4n – 3)(4n + 1)

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Q: 3x Consider the function f(x) = x²e-³ª, defined for all real numbers x. (a) Find the two critical…

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Q: Which graph(s) is/are the graph of an exponential function? Plot1.pdf Plot2.pdf Plot3.pdf Plot4.pdf…

A: Plot 1 and plot 3 are exponential function graph

Q: 7x + 1 √(x=²5) (x - 5)(x + 4) dx

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Q: Find f(x) for the following function. -In x f(x) = 3/¹¹ a 01 3 02 O In x-2 Vn VE -2. (1 - ln x) In…

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Q: a) Find an equation of the tangent line to the curve at the point corresponding to the given value…

A: Consider the parametric curve

Q: find the derivative of a. f(x)=(x^4+3x)^-1 b. f(x)= x / (x^2 + sqare root of 3x)^5

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Q: Find f such that f'(x) = 4x² + 3x-3 and f(0) = 9.

A: (1) f′(x)=4x2+3x−3f(x)=∫f′(x)dxf(x)=∫(4x2+3x−3)dxUsing the Power Rule∫xndx=xn+1n+1+C

Q: Find two unit vectors orthogonal to a = (-5,-4, 5) and b = (-2,0,4) Enter your answer so that the…

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Q: Pickachu claims that the following integral can be solved they correct? Explain. [ 2² e²³ da

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Q: 3.)

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Q: Find the surface area of revolution about the x-axis of y = 72 + 6 over the interval 2 ≤ ≤ 5

A: The given equation is  over the interval..Calculate the surface area of revolution about the…

Q: Solve 11 (ex) ¹¹e13 + 6x = 4 5In (3) 17 5 In(3) +- In(3)- 19 11 243 13 17 13 6 +5 In(3)

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Q: find the derivative  f(x)=log|tanx|

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Q: (A) 8 9 10. The graph of a function f is shown above. If g is the function defined by g(x) = f(x) of…

A: We use the Quotient rule  to find the derivative.

Q: Using linearization, show that sin(x) ≈ when ≈ 0. Apply that to approximate sin(√0.0001).

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Q: y=xsin'' x+√√₁

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Q: ould you draw a diagram

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Q: You have 830 ft of fencing to make a pen for hogs. You have a river on one side of your property and…

A: Given Length of the field is l Given width of the fiels is w Total perimeter of the field is given…

Q: Square root of two derivative.

A: Square root of two derivative.

Q: 4. Find bound on the error Trapezodol Rule Simpsons Rule S_₁x dx;n=10 X -1

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Q: m 4. Consider sin x cos" xdx. (a) How do you evaluate fsin" x cos" xdx if m is odd? (b) What if n is…

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Q: ∞ Write out the first few terms of the series Σ n=0 3 on (-1)^ 57 What is the series' sum?

A: Formula for sum of infinite G.P. = a/(1-r) Where, a = first term r = common ratio

Q: Practice 4: a) Find at least the first eight derivatives of pattern you observe. sin.x and observe…

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Q: 2. Students were asked to formulate the system of equations needed to solve the following problem:…

A: We are authorized to answer one question at a time, so we answer the first one, please repost your…

Q: You are constructing a cardboard box from a piece of cardboard with the dimensions 2 m by 4 m. You…

A: We are given a cardboard with dimensions .