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Calculus

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Q: When the interest on an investment is compounded continuously, the investment grows at a rate that i...

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Q: The area on the first quadrant bounded by the parabola x2 = 8y, x = 4, and the x – axis is revolved ...

A: the area on the first quadrant bounded by the parabola x2=8y, x=4, and the x axis is revolved about ...

Q: The base x of the right triangle in the figure increases at a rate of 5 cm/s, while the height remai...

A: Consider the given graph Given dxdt=5cms ,h=17cm

Q: Find the slope of y(3x – y²) = 10 at (3, 2)

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Q: xp- x²+16 Agree or disagree with the statement: the integral-

A: Given data: The given integral expression is ∫x3x2+16dx. The first method to solve the given int...

Q: Evaluate, if possible, the cosine function and the cosecant function at the following four quadranta...

A: Evaluate cos and csc in given four quadrantal angles.

Q: A spring in equilibrium has length 1 meter. If ittakes 40 joules (i.e., kg-msec2 ) of work to stretc...

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Q: You have an 8 inch by 10 inch piece of cardboard and you want to make an open topped box. To do this...

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Q: A street is 75 cm long and needs to be cleaned. The street cleaning vehicle has wheels that have a d...

A: Length of street to be cleaned=75 cm Diameter of cleaning vehicle=1m We know , 1m=100cm So, diameter...

Q: Consider each matrix in Exercises 5 and 6 as the augmented matrixof a linear system. State in words ...

A: Given augmented matrix is 1-640-102-7040012-300316

Q: Use integration to find the general solution to each differential equation. (Use C for the constant ...

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Q: Evaluate the surface integral. xz ds S is the boundary of the region enclosed by the cylinder y² + z...

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Q: An arch in a church, having a parabolic shape, has a height of 28 feet and a base width of 34 feet. ...

A: Given: An arch in a church, having a parabolic shape, has a height of 28 feet and a base width of 34...

Q: On a certain route, an airline carries 7000 passengers per month, each paying $90. A market survey i...

A: Given 7000 passengers per month paying $90. Each $1 decrease in the ticket price. The airline will g...

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(9x))x

A: Given y=cos9xx First take natural logarithm on both sides y=cos9xxlny=lncos9xxlny=xlncos9x ...

Q: Maximizing Profits The quantity demanded each month of the Walter Serkin recording of Beethoven's Mo...

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places log1...

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Q: Find the order of the given DE. Also, decide if the DE is linear or nonlinear. (a) + yx = x (b) 1- y...

A: The differential equation dydx+y2x=x contains the highest derivativedydx which is of first order. Th...

Q: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached at the...

A: Given: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached...

Q: dy/dx=y2/3

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Q: Find the particular solution. (Remember to use absolute values where appropriate.) dy = ...

A: To find the particular solution, dy=7x-xdx; y(1)=2

Q: In(t) Let y = %3D (a) ( Find y' using the quotient rule. (b) Rewrite y as a product, then find y' us...

A: Given that y=lntt3. (a) Compute the derivative using quotient rule. y'=lntt3'=t3lnt'-lntt3't32=t3t-3...

Q: Consider the following. 2xy dy dx = y2 + 8 Rewrite the differential equation with separa...

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Q: g(x)=-5x+2 find average rate of change of the function between x=a and x=a+h

A: Average rate of change of a function x=m to x=n is given as:

Q: Evaluate the iterated integral

A: Given, ∫12∫02z∫0ln x xe-y dy dx dz

Q: Evaluate or simplify the expression without using a calculator 10log33.

A: To simplify the expression 10log33.

Q: 5. Evaluate the following derivatives. (a) y" where y = x7 + 3 ln(x). %3D

A: a) find y''' where y=x7+3ln(x) First we need to find first derivative with respect to x use power ...

Q: a. Express the volume of the wedge in the first octant that is cut from the cylinder y2+z2=1 by the ...

A: a) Express the volume of the wedge in the first octant that is cut from the cylinder y2+z2=1by th...

Q: 7-8 - Solutions of Systems of Inequalities A system of inequalities and several points are given. De...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q:

A: Given: t in days, Q(t) in barrelsQ'(t) = 900if 0≤t<302900-70tif 30≤t<40200if t≥40 (1)U...

Q: Find dy/dx and dy/dx2. x = t2 + 3, y = t2 + 3t dy %3D xp d²y dx2 For which values of t is the curve ...

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Q: Calculus Question

A: We’ll answer the first question since we answer only one question at a time. Please submit a new que...

Q: At a certain time of day, the angle of elevation of the Sun is 40°. To the nearest foot, find the he...

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Q: 2. ( Quotient Rule, or Chain Rule. For others, you don't need anything more than Power Rule and thre...

A: Product rule of differentiation: ddxfx×gx=fx×ddxgx+gx×ddxfx=fx×g'x+gx×f'x Quotient rule of different...

Q: Give the center and radius of the circle described by the equation (x + 1)2 + (y - 4)2 = 25 and grap...

A: According to the question, we have to find the center and radius of the circle x+12+y-42=25 and grap...

Q: I have two functions. Function f models total world population x years after 2000 and function g mod...

A: I have two functions. Function f models total world population x years after 2000 and function g mod...

Q: 4) Find functions f and g so that f ° g = H а. Н(х) —D Vx2 — 3 H(x) =

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Q: Find the vector z, given that u = ⟨1, 2, 3⟩, v = ⟨2, 2, −1⟩, and w = ⟨4, 0, −4⟩. z = 5u − 3v − (...

A: Given: u=1,2,3, v=2,2,-1, w=4,0,-4 for finding given vector z, we use given values

Q: Please show the solution on how to compute for the intercepts and local extrema of y= sin2(x)-2cos(x...

A: Given: The function y=sin2x-2cosx To find: x and y intercept and local extrema of given function.

Q: The boundary of a lamina consists of the semicircles y = V4 - x2 and y = V 36 - x2 together with the...

A: The semicircles are y=4-x2 and y=36-x2

Q: A breeder reactor converts uranium-238 into an isotope of plutonium-239 at a rate proportional to th...

A: Given : Initial amount present is 190 pounds Remaining after 10 years is 0.9997 * 190 pounds we need...