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Q: Volume of a box A box with a square base of length x and height h has a volume V = x2 h.a. Compute t...

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for ...

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = 12 + ...

A: Given: fx=12+x-x2 we know that for any function it is increasing then f'x has to be greater than zer...

Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measure...

A: Given, q=fp ⋯⋯⋯ 1 where, q is the quantity of the fabric that is sold (measured in meters) p is the...

Q: Verify the identity: (1 - tan x)/sin x = csc x - sec x

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Q: dy Differentiate implicitly to find dx 5 3 5 ху 2 2 Xy + 6x¯ = 8y +7 %3D

A: Given equation is x3y5+6x52=8y52+7. Compute the implicit derivative. ddxx3y5+6x52=ddx8y52+73x2y5+5y4...

Q: A right angled triangle is to be constructed so that the hypotenuse is 20cm long . The height of the...

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Q: Find dy/dx given that 10x = xe* +y %3D

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Q: Divide the first polynomial by the second. State the quotient and the remainder.x3-3x2-20x+12 x...

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Q: A company requires two types of drills, a corded and cordless. The cord-type drill requires 1 hours ...

A: Two types of drills are required, a corded and cordless. Time requires to make: Corded drill require...

Q: Fill in the blank/s: To convert a complex number from rectangular form, z = a + bi, to polar form, z...

A: we know that a+ib=rcosθ+isinθ where, r=a2+b2, tanθ=ba

Q: Setup cylindrical only

A: Given: Equation of cone z=x2+y2 Equation of sphere x2+y2+z2=2

Q: Please solve all parts very soon

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: setup dxdydz only

A: Given: ∭Bx2+y2+z2dV, whereB=x,y,z:0≤x≤4, 0≤y≤4, 0≤z≤4 To Setup: dxdydz

Q: Give an example of each of the following, or state that such arequest is impossible by referencing t...

A: Let xn=n and yn=-n Both xn and yn are unbounded and therefore diverge However, xn+ yn=n-n=0 Hence xn...

Q: De termine the volume Of the Lorgest rectangular box in the first OCtant wsth three faces M the Cour...

A: Given, The three faces of the rectangular box is in the coordinate planes with one vertex at the ori...

Q: Given sin(x + e) = y, find dy/dx

A: Given that: y = sin(x+ex) To find: dydx Let y = sin(x+ex) differentiate both sides with respect to...

Q: An isotope of the element erbium has a half-life of approximately 10 hours. Initially there are 11 g...

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Q: P1L1,L2 x=0 aanay=7.93407 The graph indicates that the initial voltage was Vo - 7.93407 volts. Other...

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Q: Find the critical points of ƒ(x) = (x2 - 3)ex. Identify the open intervals on which ƒ is increasing ...

A: Given f(x) = (x2-3)ex

Q: A billiard ball is dropped from a height of 100 feet. The ball’s height s at time t is the position ...

A: st=-16t2+100 a). Average velocity over the interval 1, 2 is, s2-s12-1=-1622+100--1612+1001=36-84=-48...

Q: Setup cylindrical only

A: E is the region that lies inside the cylinder x2+y2=16 and between the planes z=-5 and z=4 Change th...

Q: Convert the angle 45° in degrees to radians.Express your answer as a multiple of π.

A: To convert 45° to radian. Solution: We know that 1°=π180° radian To convert degree into radian we wi...

Q: Thoroughbred Bus Company finds that its monthly costs for one particular year were given by C(t) = 1...

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Q: Use the five-step strategy for solving word problems: An architect is allowed 15 square yards of fl...

A: Let the length of the rectangular floor be L=x . Now, The width of the rectangular floor must be 7 y...

Q: Graph the equation 100x2 + y2 = 25 in a rectangular coordinate system. If two functions are indicate...

A: Given: The equation of graph is:100x2+y2=25 ..........(1)

Q: Use the guidelines of this section to sketch the curve y = x (x- 4 )3

A: Consider the given function: y=xx-43 Now make a table for function value at different points:

Q: Evaluate the integral, if it exists.

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Q: Absolute maxima and minima Find the absolute maximum and minimum values of the following functions o...

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Q: Find dy/dx of y = (x^2)cos^4(x)

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Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:20 p.m. it reads 50 mi/h. Show that at some tim...

A: let the initial velocity of a car is v1=30 mi/h( at 2:00 pm)the final velocity of car is vf=50 mi/h ...

Q: For f(x) = x2 - 5x + 6, find f(2), f'(2), and f(3) – f(2). a. f(2) = b. f'(2) = c. f(3) – f(2):

A: Given function is f(x)=x2-5x+6 (a) f(2) is obtained by replacing x by 2 in f(x) as follows. f(2)=22-...

Q: Verify identity sec x - sec x sin2 x = cos x.

A: Given , sec(x) - sec (x)sin2(x) = cos (x).

Q: Multivariate Calculus Partially differentiate the following equations with respect to x1 and x2. No...

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Q: al.1.a solve the initjal condition problem dA - 0.07A, A (0)- 1000

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Q: .2 x +1 Find dy/dx given that y x2 – 1

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Q: Given that f(−2)=2, f′(−2)=−3g(−2)=−2, g′(−2)=1calculate the following: (f+g)′(−2)=(f−g)′(−2)=(f⋅g)′...

A: Given: f(-2)=2 , f'(-2)=-3 , g(-2)=-2, g'(-2)=1 To determine: 1. f+g'-22. f-g'(-2)3.f.g'-24.fg' -2

Q: Find the seventh term of the geometric sequence whose first term is 5 and whose common ratio is -3.

A: Given, The geometric sequence whose first term is 5 and whose common ratio is -3.We know that...