Find the L and W (with W≤L) of the rectangle with perimeter that has a maximum are and then find the maximun arga

Q: 1) Given the graph of f(x), determine the following, if it exists. (a) lim f(x) I+I (c) limf(x) x-1…

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Q: 16. What is the area between y = 0, y = 3x², x = 0 and x = 2? B. 24

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Q: aw Q/ Find for wear sin ¹p where əx p = sin x q = z² ln y r at (x, y, z) = ( Hint: sin √1-x² dx X =

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Q: 4. What is the integral of cos xdx from pi/3 to pi/2? A. 0.134 C. 0.707 B. 0.500 D. 0.293

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Which of the following is the general solution of: y(x+1) 2 dy dx x Select one: O a. 2lny = x - ln x…

A: Given problem :- 2dydx=yx+1x

Q: Q2. Find the standard deviation for the data: 5,10,7,12,0,20 7

A: We have to find the standard deviation for the data: 5,10,7,12,0,20

Q: Evaluate the trigonometric function below from x = 1 up to x = 5. S(sin√T sin √x) dx √x

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Q: f(3x + 2)² dx

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Q: In 17 years, Oscar Oaks is to receive $200,000 under the terms of a trust established by his…

A: It is given that, The time period is n = 17 years,  Future Value (FV)= $200,000 rate of return r  =…

Q: Which conic section is formed in the image shown? Circle O Parabola

A: Solution  Given that figure                 It is clear that

Q: 1). 8. Determine the Cartesian equation of the plane that contains the line 7=(2, 3, 2) + t(1, 1,…

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Q: 9 csc(x) dx csc (x) - cot(x) ||

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Q: 32. Find the area of the surface generated by rotating the portion of the curve y-2 from x= 0 to x =…

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Q: 36. Find the length of the curve r = 4sin e from 0 to 9 = 90° and also the total length of curve. A.…

A: I am attaching image so that you understand each and every step.

Q: 9 If tant = 2, what is tan (t — π)? Enter the exact answer. tan (t - π) =

A: If tant=9/2 then what is the value of tan(t-π)

Q: 2. Evaluate the following limits using algebraic techniques and limit theorems. x+1-2 (a) lim x→3…

A: To evaluate the following limits using algebraic techniques and limit theorems.a limx→3 x+1-23-xb…

Q: Let y=cscx then d³ y dx³

A: I am attaching image so that you understand each and every step.

Q: If; of t = x then at t=1 is (Note that these functions in N) dx

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Q: Q3. Given the set: (11,13,7,9,14,18,10,13,9) a) Find the five number summary of the data set. b)…

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Q: solve the following diff. eque. of едис. 2 -2 O x ý76 Xý tay =

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Q: Find the slope of the secant line between x = 3 and x = 4 for the function f(x) = −x² − 2x + 4.…

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Q: A loan, amortized over 7 years, is repaid by making payments of $1,600 at the end of every month. If…

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Q: The gradient of the function 2x1 + x2 - 3 evaluated in x = (0 0 0) is: OA. Vf = (1 2 3)T OB. Vf = (0…

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Q: e) Suppose that W= √√x² + y² + z², x= cos 0, y = sin 0, z = tan 0. dw T Use the chain rule to find…

A: According to our company's guidelines I can only answer (e), since (e) and (f) are not inter…

Q: 1745 into prime

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Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

Q: Find laplase 4-f(t)=e²¹.t³.

A: In this question we have to find the laplase of the following function.

Q: For Numbers 27-29. Suppose that a particle moves along a line with position s(t) = 2t² + 3t + 1…

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Q: A) Find the value of the following limits: x²-2xy + y² (1) lim x-y+2√x-2√√y (3) lim (x.y)-(11) lim…

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Q: Evaluate the limit lim of 02 04 00 of tan(+)-tan() by recognizing it as a derivative of some…

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Q: BASIC Find a general formula for f. f(x) = 5x² ex (Use symbolic notation and fractions where…

A: We know, d/dx{xn}=nx(n-1), for any real number n  And d/dx{emx}=memx, for any real number m.

Q: 10) lim TT X-- sinx-cosx - TT X- 4

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Q: point of observation a airpalne X h = 5000 m

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Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

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Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

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Q: Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −  2y ≤ 0 x ≥  0, y…

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Q: 9. Expand and simplify the answer. (2x - 2)°

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Q: 10. Two beach balls have a diameter of 8 inches and 20 inches. Which of the following statements…

A: diameter 1ball=8inches 1ball=20inches we know that diameter=2*radius

Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: Jacqueline loaned $61,000 to a small business at 5.14% compounded monthly for 1 year and 9 months.…

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Q: How much money should David invest today into a fund that earns interest at 3.50% compounded…

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Q: For Numbers 30-34. A ball is shot straight up from a building. Its height (in meters) from the…

A: In this question we have to find the following question based on the given statement. Note: As per…

Q: late the followin integrals: a) ²² - i)² dx z³+4 b) § 22 +4 dz when the contour C is the circle |z -…

A: We use here Residue theorem to find the complex integral

Q: If y = 2x² then dy dx 11

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Q: I It ex 1-ex dx

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Q: A stone thrown into still water causes a series of concentric ripples. If the radius of outer ripple…

A: Given: A stone thrown into still water causes a series of concentric ripples. If the radius of outer…

Q: Let_y=x² +5x³-4x+1 then dy- ||

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Q: To form an ellipse, what is the relationship between the base of the cone and the angle of the plane…

A: We can answer the question as below.

Q: Find an equation of the tangent line to y = 16e* sec(x) at x = 77. (Use symbolic notation and…

A: In this question, we want to find the equation of the tangent line to the given curve at given…