Find the critical numbers of the function. f(x) = 7x² - 4x Step 1 To find the critical numbers of f, you must find all x-values for which f'(x) = Submit Skip (you cannot come back) or f'(x) does not exist

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 68 3 (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to (2, 3, 1) and from (2,…

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Q: 4. Use a sine function to describe the height of the tides of the ocean if high tide raises the…

A: The high tide of the ocean raises the water level to 5 m at noon and low tide drops it down to 1 m…

Q: Social Security According to a certain news poll, 63% agreed that it should be the government's…

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Q: Shown is the graph of a force function (in newtons) that increases to its maximum value and then…

A: Concept: The area under the curve: Knowing the curve's equation, its bounds, and its enclosing axis…

Q: Determine if the Integral Test can be used for the given series. 1 in= √4n+1 a) The Integral Test…

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Q: Sandy's main house is a hemispherical glass dome with diameter of 8m. Suppose that the glass is m…

A: NOTE: Refresh your page if you can't see any equations. . the diameter of the hemisphere is 8 m so…

Q: Find the exact sum of the following series O. In 3 2 1 In(3) --- / 2 In ( ²2 ) 32 3 In (²2) - ○…

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Q: Evaluate the following integral: 4 Po√250 e(x² +1) dxdy

A: Given integral:- ∫02∫2y4ex2+1dxdy

Q: (₁ Find the absolute extrema of the function on the closed interval. ƒ(x) = x³ − 12x + 1, [-3,1]

A: An absolute extrema of a function in a given interval is the point at which a maximum or minimum…

Q: For the following equations, enter y if the equation defines y as a function of a but not vice…

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Q: 60. (Length of an Arc) What is the total length of the curve y = e*sin x from x=0 up to y = n

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Q: Consider the marginal cost function C'(x) = 400+ 12x -0.01x². a. Find the additional cost incurred…

A: Given  C'x=400+12x-0.01x2

Q: 1 C 16 A 3 2 -1 -2- -3 -4 -5 1 V = 2 The graph above shows the base of an object. Compute the value…

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Q: ds Find the particular solution of dt H|2 1 = cos-t

A: The given equation is;  ds/dt = cos (t/2).

Q: According to a study, 36% of experienced file-sharers with broadband access had decreased their…

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Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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Q: 24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³…

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Q: 95. Solve each system of equations. a) 2x - 4y + 5z = −4 3x +2y-z = 1 4x + 3y - 3x = -1 b) 5x + 4y +…

A: To solve each sytem of equations.a 2x-4y+5z=-43x+2y-z=14x+3y-3z=-1b 5x+4y+2z=73x+y-3z=27x+7y+7z=12

Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

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Q: If the work required to stretch a spring 2 ft beyond its natural length is 12 ft-lb, how much work…

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Q: 8) Evaluate the following without the use of a calculator arccsc(-√2)

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Q: Apply the divergence test for the given series. ∞ n=1 - (n-4)² Select the answer that best fits the…

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Q: solve each of the following nonhomogeneous differential equations. 6. (D²-1)y=2(1-e-²x)-1/2

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Q: 4 cos x -dx 1+ cos x

A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)

Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 2y + ty +…

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Q: 3. Find the derivative of each of the following functions. Justify your answer. (a) f(x)= (b) y e I…

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Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. 2) Σ…

A: The given series, a) ∑n=1∞3n-12n+1b) ∑n=1∞sin1nc) ∑n=0∞2n+15n

Q: Evaluate the following. √ √x- x - 4y + z ds S: z = 14 - 3x +9y, 0≤x≤ 6,0 ≤ y ≤4 Part 1 of 4 To find…

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Q: A soccer ball is kicked into the air, and its height (h) in feet after t seconds is given by h( t )…

A: A soccer ball is kicked into the air, and its height (h) in feet after t seconds is given by…

Q: Find the curl of the vector field F. F(x, y, z) = 4x² + 7y²j + 5x²k

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: y = √√2x, x=2 yaxis 17 x-axis

A: Given that y= √(2x) and x= 2 and we find equation of tangent line and normal line at the given…

Q: Evaluate the following integral: LLC (2x+4y)dydx

A: Evaluate the integral.

Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

Q: The flu is considered dangerous when the number of people getting sick is growing at a rate…

A: We have to find the general equation of F(t).

Q: Situation: An online retail company tracked total number of purchases monthly. In February 2007 they…

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Q: Evaluate:L{e-3t} = ! Blank 1 Blank 1 Add your answer

A: Let's find laplace of given function.

Q: Use Stokes's Theorem to evaluate F. dr. Use a computer algebra system to verify your results. In…

A: Here,  g(x,y)=49-x2G(x,y,z)=z-g(x,y)

Q: 55. Find the area bounded by r = 4 sin 20 a. a. 4n square units b. 8n square units C d. 4 square…

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Q: 3. Find the general solution of the differential equation y(4) — 4y" = t² +et.

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Q: pulation of a certain inner-city area is estimated to be declining according to the model P(t)=…

A: answer is in next step. please give a like !!

Q: 09 Graph the functions in Exercise (1) 4 (ii). Then answer these quodions (a) what are the domain…

A: Given data:- The below Function are given, (i); fx=1-x20≤x<111≤x<22x=2 (ii); fx=x-1≤x<0 or…

Q: -4 -2 12- -8 -4 0 2 -N What is the equation of the graph shown here? 4

A: Let's find equation of given graph.

Q: tf(x) be a function defined on [0,8] whose derivative has the following graph: Figure 1: Graph of y…

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Q: Write as a single integral in the form 6 b [Fx f(x) dx f(x) dx. 5 -1 [²_f(x) dx + [³f(x) dx - [ ^_^…

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Q: Let f(x) = Then f'(x) = m = b = 3 sin x 6 sin x + 2 cos x The equation of the tangent line to y =…

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Q: Euler found the sum of the p-series with p = 4: ζ(4) = Σ Σ n = 1 Use Euler's result to find the sum…

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Q: 8. Prove: 2 1-tan x 1+tan²x cox2x.

A: (1-tan2x )/(1 +tan2x ) = cos2x here we have to compare the left hand side and right hand side apply…