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Q: Convert the point from rectangular coordinates to cylindrical coordinates and spherical coordinates....

A: Let (x, y, z) be the given point in rectangular form. 

Q: The length of some fish are modeled by a von Bertalanffy growth function. For Pacific halibut, this ...

A: From the given data:

Q: A company that produces and sells digital cameras has determined that the total weekly cost C of pro...

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Q: Set up an integral to find the surface area of the portion of the plane:z= mx+ny over the rectangle ...

A: To calculate the surface area, identify the region of integration and then derive the limits of x an...

Q: Find the derivative of the following function. Do not simplify. f(x) = (x 4 + 6x 3 + 15x − 5)(−9x 3 ...

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Q: The moon's orbit is an ellipse with Earth as one focus. If the maximum distance from the moon to Ear...

A: Given : Maximum distance from the moon to Earth is 405 500 km and The minimum distance is 363 300 km...

Q: cost is in dollars and x is the number of units. Find the marginal cost functions for the given cost...

A: Given that: The cost function is C = 0.1 x 3 - 1.5 x 2 + 9x + 15. Cost is in dollars and x is the nu...

Q: I need help solving the following problems. The solutions are provided but I do not know how to solv...

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: 5) Find the exact value of cos [tan--si sin-" (-): 12

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Q: read carefully and list in a comma seperated list

A: List your answer upto one decimal place and in comma-separated list.   as we come to know that θ = 1...

Q: Approximate the area under the curve defined by the function 8x^4 over the interval x = 0 to x = 3 u...

A: Given: f(x)=8x4 We have to find the area under the curve defined by the given function over the inte...

Q: Find local maxima and minima and saddle points of the function f(x,y) = 3xy2+x3-3x2-3y2+2.   Classif...

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Q: Complete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx dx U = du = d...

A: Given,          ∫x2x3+7dx

Q: Express the following difference as a product of sines and/or cosines. cos(50) – cos(30)

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Q: A point moves along the curve y = x ^ 3−3x + 5 so that x = 1/2√t + 3, where t is time. At what rate ...

A: Given- y=x3-3x+5 and x=12t+3 To find- The rate of changing when t=4. Concept Used- dydt=dydx·dxdt

Q: 2) Use sum and difference formulas to find the exact value of each expression. a. sin cos – cos sin ...

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Q: Find the rate of change of the function f(x, y,z) =x^2y + 3xz - 5yz^3 + π,at the point (1, -1,1 ) in...

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Q: Evaluate. (Be sure to check by differentiating!) |(x³ + 1)*x² dx 4.

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Use logarithmic differentiation to find the derivative of the function    y=(2x+1)5(x4-3)3

A: Given,          y=2x+15x4-33

Q: The 6-ft wall shown here stands 22 ft from the building. Find the length of the shortest straight be...

A: The triangle ABE is a right angle triangle Apply Pythagorean theorem to find out AB AB2=AE2+EB2AB2=x...

Q: The question is attached

A: Consider the given: Let x1,y1 and x2,y2 be the point on fx and gx respectively.Now, slope of tangent...

Q: Answer properly. Read the question carefully.

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Q: how to find width

A: Use simple way to find the width,  ∆tn=tn - tn-1 As said in question itself.   For finding ∆t2 = t2 ...

Q: A grocer wants to mix two kinds of coffee. One kind sells for $1.25 per pound, and the other sells ...

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Q: The derivative of 4.x5 is f(x) f(x) = Зх-2

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Q: ).  Write down the difference between contradiction and contigency with example.

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Q: If the sides of a rectangular solid are as shown, and 4, determine the angle, 6, between the diagona...

A: Given- The side of the rectangular cuboid is x=4 and the figure is given below, To find- The value ...

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, an...

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Q: Suppose that a particle moves along a straight line with velocity defined byv(t) = t2− 3t − 18, wher...

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Q: The traffic flow rate (cars per hour) across an intersection is r(t)=400+600t−150t^2, where tt is in...

A: given traffic flow rater(t)=400+600t-150t2at t=0 hour time is 6 amat t=1 hour time is 7 amhence we h...

Q: Find parametric equations for the line that passes through the point P and is parallel to the vector...

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Q: Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a spher...

A: Let r be the radius and h be the height of the right circular cylinder. Apply the Pythagorean theore...

Q: Calculus Question

A:  Since you have asked multiple questions in single request  so we  will be answering only first ques...

Q: Let  u = 5i + 3j  and  v = 9i − j. (a) Find the angle between u and v. (Round your answer to one dec...

A: Given: The values are given as, u=5i+3j and v=9i-j

Q: Given f(z) = x+ VE Calculate the tangent line at the point (16, 20) (z- 16) + 20

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Q: If total costs are C9x) = 1600 + 1500x and total revenues are R(x) = 1600x - x2, find the break-even...

A: Given the cost function Cx=1600+1500x and the revenue function Rx=1600x-x2.

Q: The first step in using logarithmic differentiation to find the derivative of f(x) = x+1x4+1)3/2 is:...

A: Given, f(x) = x+1(x4+1)3/2

Q: Use the limit definition of the derivative to find the derivative of the following function. You wil...

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Q: SV2*- 16 dx 2.x

A: Consider the integral: ∫e2x−16dxApply u substitution:u=e2x−16=∫u2u+16du=12⋅∫uu+16dulet,v=uv=u2−16=12...

Q: box the answer please

A: According to Newton's method, If we have a function f(x) whose roots are to be found, then we start ...

Q: how to find lower and upper estimates using the table of values shown.

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Q: (x³ + 5) dx =

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Q: I can't figure out how I'm supposed to set this problem up, I can't get the integral to format right...

A: Given that the parametric representation of the curves is, x=uv,   y=u+v ,   z=u-vr→u,v=uv,u+v,u-vr→...

Q: A weight on a spring is bobbing up and down. Its height above the ground at time t is h(t) = 5 + cos...

A: velocity of weight will be 2 detailed solution is given below  

Q: Evaluate. (Be sure to check by differentiating!) | 16. dx

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.