A 17 cm x 11 cm open rectangular box is to be constructed by cutting square corners out of a piece of cardboard whose dimensions are given below and folding up the flaps. What dimensions will yield a box of maximum volume? Find the maximum volume

Q: The reverse order of J Só 3xe dydx is equal to 2(e - 1) е - 2 -e

A: After changing the order of integration, solve it.

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Q: Find y ' if xº = y* .

A: Given problem:- xy =yx  To find:- y'

Q: Solution

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Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

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Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

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Q: sinx 14. What is y" if y=' 1- cosx -sinx -cosx A) у'— C) y'= (1 – cos.x) (1 – cos.x) sinx (1 –…

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Q: 2. [ID # ending in 4 or 7] 2 av Determine (+) ax if v csch y = e*x² . дх ду ду

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Q: 2. Write down the name of the conic given by the polar curve r = 6/ (3 - 2 cose). Determine the…

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Q: 1. Jx cos 3x dx Sx² cos x dx 2.

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Q: 2. DETAILS LARAPCALC10 4.R.086. Find the derivative of the function. 8 In

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Q: Find the derivativo of the following . Simplify the answer t #o (Rationalize the denonina tor in…

A: derivative

Q: . Consider the polar curves C1:r= 3 sin20 and C2 :r = 3 cose, and let R be the shaded region as…

A: r=3 sin 2θ and r=3 cos θ R is the shaded region: To Find:a. Find all points of intersection of C1…

Q: y csc's x cot 5x 2.

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Q: Use the mean value theorem to prove the inequality for all a and b: |sina – sinb| < |a – b|.

A: Let, f(x)=sin x then the function is continuous and differentiable for all the real numbers hence on…

Q: Find dy/dx: 1. у%3D Jo = San* sec? t dt

A: A detailed solution is given below

Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

A: Given:  12+23+34+45+56 If we see the pattern we can say that numerator and denominator of the nth…

Q: Solve for the following system of differential equations. dx x + 3y, dt dy = 7x + 4y dt

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Q: x2 – 3x – 2 - if x 4 f(x) = /2x + 1

A: To find which discontinuity is at x=4.

Q: thu2 Evaluate khe faltowing cartesian integratby - changing them inte equivalent Polar integrals 2.…

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Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A: Given that the sum of two number is S

Q: Consider the polar equation defined by r = 5 cos(2 sin 6), where 0<0< 27. Determine the missing…

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Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

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

Q: Determine the absolute maximum and minimum values of the function f(x) = x'e* on the interval -1<x<…

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Q: A MANUFACTURER NEEDS TO MAKE A CYLINDRICAL CAN THAT WILL HOLD 1.5LITRES OF LIQUID. Determine the…

A: Follow the procedure given below.

Q: 4- The number of element in the sample space when you flip 3 coins together c) 6 d) 12

A: We can solve this as follows:

Q: 6. DETAILS Verify the statement by showing that the derivative of the right side is equal to the…

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Q: Find the x-value maximizing the shaded area on the interval 0 < x < 18. One vertex is on the graph…

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Q: у2 3 csc2 5x cot? 5x — CSC+ 5x сot? 5x

A: Use chain rule to find derivative

Q: Find the differential dy of the given function. (Use "dx" for dx.) dy =

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Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: Given: v(t)=t3+6t2+11t+6

Q: For the curve with parametric equations x = 4 sin (t) – 1 y= 2 cos (1) + 3 dy find the point dx at…

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Q: determine which statement is true h(x) = (4x – 1)/ (9 – x) (A) not a function (B) function;…

A: h(x) is function and is not defined at x= 9.

Q: Given W(-1,5,2), X(6,-2,3) and Y(-2,-7,-3), are points in 3D, then determine the area of…

A: To find the area of the parallelogram formed by two vectors

Q: A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the…

A: This question can be solved using the concept of maxima and minima.

Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: 1. Find the derivative of the following: (Simplify your final answers.) h(t) = V3t – V2t²,t # 0.…

A: Solving

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

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Q: 8. If F(x)= dt, then F'(x)=

A: Using Leibnitz rule for integral.

Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

A: Volume

Q: Evaluate the limit lim f(t) where f(t) 7' + 19'\ for t 0. 2 lim f(t) =

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Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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