If U and V are positive constants, find the critical point of the function. Use upper case letters. F(t) = Uet+ Ve-t t =

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A: Solution for above requirement are as explained below.

Q: Problem #1: Which of the following planes are parallel (or equal) to the plane x + 4y +32 = 2?…

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Q: for the following question above help me solve d and e

A: Given graph of f'(x)

Q: Linearize ​f(x)=2−x for a=1 and use it to approximate the value of 1.8.

A: Given function is f(x)=2-x  for a=1

Q: Which of the following integrals gives the length of a semicircle of radius 5? ܐܢܘ 5 10 -5 25 - x²…

A: We have given the radius of the circle is 5.Equation of circle is x2+y2=25y=25-x2

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

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Q: Suppose g(x) is continuous and concave up everywhere. The equation of the tangent line to g(x) at x…

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Q: (a) Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose radius rate…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: Let a = 1 and b=4. 1/6 ₁/²b(2² +1²) dy dx. T If you need to use π for your answer, just type pi.…

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Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

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Q: Determine the sum of the convergent series below. n=1 24n201-n

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Q: Write out the form of the partial fraction decomposition of the function appearing in the integral:…

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Q: 2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

A: The solution is shown below-

Q: Find the point(s) of intersection 2x + 7y = 10, x-1 7 (x, y, z) = (if any) of the plane and the…

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Q: Determine the slope of tht line through the given points. (-7,-1) and (-5,9)

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Q: 7. Compute where x² + y² = 10. x y 0-4 x O-100 dx2 O 100 y³ ONone of these.

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Q: sin2(x)-cos(x) 3. Compute limz→ sin(x)-cos(x) 를 O2 OV2 00 ONone of these

A: We need to evaluate : limx→π4sin2(x)-cos2(x)sinx-cos(x)

Q: Let R be the region in the first quadrant bounded by the graph of y = e, the z-axis, the y-axis, and…

A: Given :- Region R in the first quardrant bounded by the graph y=e-x,the x axis , the line x=b

Q: sin 7t 2. Compute lim+→0 sin 2t 01 0-1 000 01/10 0/1/201 27 72 ONone of these

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-2,-2)…

A: Solution is given below:

Q: 8. A bead slides down the curve xy = 10. Find the bead's horizontal velocity at time t = 2 s if the…

A: given  xy=10geight, y=400-16t2horizontal velocity=dxdtd dx(xn)=nxn-1d dx(a.b)=adbdx+bdadxd…

Q: The position function of a particle is given below. s(t) = t³ + 6t² − 33t, t ≥ - 0 When does the…

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Q: A rectangular box with an open top has a square bottom and a volume of 4 m³. Find the dimensions of…

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Q: Differentiate y = ψ y=5 k=0 Σ(k - 4)ak. k=0 ---

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Q: Consider Line 1 with the equation: y= (1)/(2)x+9 Give the equation of the line parallel to Line 1…

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Q: Approximate the area under the curve graphed below from x = 1 to x = 6 using a Left Endpoint…

A: Area approximately = 9.2 square units  For detail...go through the solution

Q: The derivative graphs for the functions f, g, h, and p over some interval are shown below. Use these…

A: The given data is: The derivative graphs for the function f, g, h, and p over some interval shown…

Q: You are given the graph of the second derivative function, f"(x) shown below. f" (x) G AN. D F H E…

A: Given The graph of f"(x)

Q: The unit cost, in dollars, to produce tubs of ice cream is $9 and the fixed cost is $16614. The…

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Q: Find the polar coordinates, 0≤0 < 2π and r≥0, of the following points given in Cartesian…

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Q: 3. Consider the function A(x) = f cost sin³ tdt for x in [0, 2π]. Calculate A'(x), determine the…

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Q: Find the derivate of this function]: a) f(x)= 9x²³+24x² - T F'(x) = b) f(x) = 4x³ + 9x²-9. F'(x) =…

A: (a)  f(x)=9x3+24x2-πd dx(xn)=nxn-1d dx(constant)=0

Q: ed to a temperature of 350 degrees Fahrenheit (°F) is taken out of an oven and placed in a (75°F)…

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Q: (It sinx) dx + #* HN (It sin x) dx

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Q: 18 > (a) Find the direction for which the directional derivative of the function f (x, y) = 7xy² +…

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Q: Evaluate the double integral over the given region R R (18y²-14x) DA R: 0≤x≤4, 0≤y≤2

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Q: 0 8x dx x4 -8x² + 32 X

A: To evaluate the following integral. ∫028x dxx4-8x2+32

Q: Find the region generated by rotating the region bounded by xy=1, x=1, x=2 and y=0 around the y-axis

A: Given :- The region bounded by xy=1, x=1, x=2 and y=0 To find :- The region

Q: In a trend that scientists attribute, at least part, to global warming, a certain floating cap of…

A: We have to find the rate of change of area.

Q: The short-term demand for crude oil in Country A in 2008 can be approximated by g = ((p) =…

A: The short-term demand for crude oil in Country A in 2008 can be approximated by…

Q: Determine the volume of the region bounded by y=x^(2)-2x and y=x that is rotated about y=4

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Q: here are 8 toll of carpet. Each roll of carpet is 6 yards long. How long are the 8 rolls of carpet…

A: Given, total no. of carpet  rolls= 8 units Length of each roll = 6yards

Q: D) f(x)= In x+2

A: Calculate differentiation for            f(x)=ln(x^3)/(x+2)

Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

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Q: Differentiate the function, and find the slope of the tangent line at the given value of the…

A: As we know that, The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart.…

A: Given : their bases 100 ft apart BD = 100 ft let BC = x  CD = 100 - x

Q: Karl Yates needs $6,000 to pay for the remodeling work on his house. A contractor agrees to do the…

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Q: The general solution to the differential equation. expression for f (x) and its domain? A (В C D…

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Q: 10. What are the absolute minimum of f(x) = 3x³ — x − 1 over [−1, 1] -3 (at x = −1) 01 (at x = = 1)…

A: We need to find the absolute minimum of f(x)=3x3-x-1 over [-1,1]

Q: Find the average value of the function over the rectangle [1, 2] × [0, 4]. X f(x, y) = 4 √y x3

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