Find the volume of the parallelepiped determined by the vectors a = <5,1,2>, b = <1, 4,3>, and c = <2,3,6>.

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A: Here we have to find the partial fraction decomposition of a function.

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A: Given query is to find indicated derivative.

Q: 1. Suppose the graph of f is given. Describe how the graphs of the following functions can be…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Here is a way we can estimate the distance from the earth to the moon. When the moon is seen at its…

A: Here is a way we can estimate the distance from the earth to the  moon. When the moon is seen at its…

Q: Let C be the line segment connecting the point p = (2, 5,0) to the point q = (0,6,-5). Find a curve…

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Q: The answer is not clear

A: we need to differentiate the function.

Q: Solve the following system of nonlinear equations using either substitution or elimination. Write…

A: To solve the given system of equations

Q: Determine if this statement is true or false: If A(x) = f(t)dt then the graph of A 5 crosses the…

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Q: Which one of the following is true about the function 2x²-x-15 4x² + 10x f(x) = = Non-Removable…

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Q: If z = 8x² + y² and (x, y) changes from (1, 1) to (0.95, 0.9), compare the values of Az and dz. dz R…

A:

Q: ENTERING INTERVAL ANSWERS For intervals of values, enter your answer using interval notation. Here…

A: Given query is to write the inequality in interval notation

Q: TOPIC 1 Higher Derivatives Q. #1 Given f(x)=x² sin(√x), please find derivatives below. Hint: Always…

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Q: Find an equation of the tangent plane at the given point: F(r, s) = 2r³-2/3, 1 80.5 (1,1) 2=

A: Given equation of surface is F(r,s)=2r31s0.5-21s3 and the point (1,1).

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Q: Solve the oblique triangle. Clearly show supporting steps and diagrams. Round to the nearest tenth…

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Q: A cyclist is riding their bicycle on flat terrain at a speed of 21 miles per hour. The wheels on the…

A: NOTE: Refresh your page if you can't see any equations. . the given diameter of the wheel is d=24…

Q: The differential equation -4e* cos(y) +4² -4e* sin(y) - 8yln(x) + 5y² Has solutions of form F(x, y)…

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Q: For the function, find the partials fx(x, y) and f(x, y) = (9x² + 3xy + 6)4 (a) f(x, y) (b) f(x, y)…

A: Givenf(x,y)=(9x2+3xy+6)4   We are required to finda. fx(x,y)b. fy(x,y) The following formulas has…

Q: What do we use the chain rule for?

A: Here is the solution:

Q: Hello,  I'm having trouble with the following question. Is the following statement true or false?…

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Q: 7. The strip below shows a bike path that is of a kilometer long. By reasoning with our definition…

A: The strip below shows a bike path that is 43 of a kilometer long. By reasoning with  the definition…

Q: how to expand (1-y)^1/2 in powers of y. please solve it in details, I don't just need the final…

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Q: The slope of the curve f(x)=x^(2)+4 at point (-1,4) is

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Q: The graph below shows the profits of a small home business for the years of the decade of the…

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Q: BoxedNGone truck rentals calculates that its price function is p(x) = 200- 2x, where p is the price…

A: Lets use double derivative test, we have px=200-2x

Q: Find the general solution of the differential equation: What is the integrating factor? μ(t): = Use…

A: The given differential equation is;  dy/dt - 3y/t = t3et.

Q: If f(x) = 9³x² 48 √√√x 3, find f'(8). X

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Q: A graphing calculator is recommended. Use technology to sketch the graph of the function and find…

A: The given function fx=61+e1x. We have to sketch the graph of the function and find the limits…

Q: Consider the function H(x): = 23 + 2x - 1 10x + 2 if x > 3 if x < 3 Determine if H is differentiable…

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Q: A tank with a maximum capacity of 200 L contains salt water and is initially half full. The 100 L of…

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Q: 3.2 Problems The linear systems in Problems 1-10 are in echelon form. Solve each by back…

A: Back substitution means putting the vale one of fixed variable into other.

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

A: according to bartileby we do only first part of multiple there for please re post other parts in…

Q: Consider the functions z = 7e* In y, x= In (u cos v), and y = u sin v. dz əz (a) Express and ди of u…

A: Solution: ∂y∂u=sin v

Q: Please show examples and final answers

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Q: The curvature of the helix r(t) = (a cos t) i + (a sin t)j + bt k (a,b20) is k=- 2,2 a+b What is the…

A: Given helix:- rt=acostiasintj+btk

Q: Determine if the sequence {an} converges or an = 5+ (0.4) diverges. Find the limit if the sequence…

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Q: For the following exercises, assume that f(x) and g(x) are both differentiable functions for all x.…

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Q: 1. Is the function g(x) continuous at x = 5? If so, why, if not, classify the discontinuity.…

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Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x&gt;4given  f(x) is differentiable at all point

Q: let f(x) be the function 12x^2-2x+7. Then the quotient (f(6+h)-f(6))/h can be simplified to ah+b…

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Q: Find the limit. x²y + xy² lim (x, y) → (3, −2) x² - y² X

A: We need to find out the given limit.

Q: Given: (x is number of items) Demand function: d(x) = 518.4-0.5x² Supply function: s(x) = 0.4x² Find…

A: here we have to find the producers surplus.

Q: GENERAL and PARTICULAR SOLUTION d²y dx² Find the particular solution to the D.E. = xe given that:…

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Q: 2. Find a vector equation and parametric equations for the line segment that joins the point P(2, 4,…

A: To find vector equation and parametric equation of line.

Q: Sketch the graph of the function. √√x O -4 f(x) = x 4 -2 (x - 1)2 if x > 2 y 4 2 y if x < -1 if -1 <…

A: Given query is to to find the graph and the limits which exists.

Q: Determine the values of a where the function ƒ (x) is not continuous. Label each discontinuity as…

A: To determine the values of x where the function fx is not continuous.  To label each discontinuity…

Q: n equation of the line that passes through the given point and has the indicated slope m. Point…

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Q: Use inverse matrices to solve the system of linear equations. x + 3y = 13 2x + 4y = 18

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Q: Find the volume, V, of the solid obtained by rotating the region bounded by y = 3x², x = 0, y = 4…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A: given point is (7,3,1)and perpendicular to  4x-4y+4z=7we know parametric equation of a line…