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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: 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: dy Find for each equation below. You do not need to simplify. dx а) x tan(y) + In(x) = e

A: To find dydx

Q: The supermarket's cola products cost $16.20 per case of 24 bottles. They sell 3 for $13.00. What i...

A: Given, The supermarket's cola products cost $16.20 per case of 24 bottles. Therefore, the cost of pe...

Q: Integrate G(x, y, z) = x over the surface given by z = x2 + y for 0 ≤ x ≤ 1, -1 ≤ y ≤ 1.

A: The function is fx,y,z=x2+y-z=0 ......1 Gx,y,z=x ...

Q: Use reference angles to find the exact value of the expression cot(7π/4). Do not use a calculator.

A: Given expression is cot7π4.

Q: Find the area of the surface generated by revolving the curve x = 2 cos θ, y = 2 sin θ, 0 ≤ ...

A: If x=f(t), y=f(t) then surface area is, About x axis: S=2π∫abydxdt2+dydt2dt About y axis: S=2π∫abxdx...

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter an...

A: Given parametric curve x=2+lnt .....1y=t2+2 .....2 and Point P=2,3

Q: Calculus Question

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: You have 800 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a ...

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Q: 2) Y=2- IxxY =O, X =0, X - 1 2 Sketch the reqion.

A: Click to see the answer

Q: The equation for f is given by the simplified expression that results after performing the indicated...

A: Simplify: 2x2+3x+2-4x2+4x+3

Q: You add a finite number of terms to a convergent series. Will the new series still converge? Explain...

A: According to the question, we have to check the convergent series, what does affect on the series if...

Q: Question 3 Given = ax? + x + y3 + xz2, where a is some constant parameter. • Determine a = (positive...

A: Rate change of function at point (1,0,1) is given by gradient f(1,0,1) Explained below :-

Q: Express number as ratio of the integers:

A: consider the equation

Q: 7 3 6 Let u = 2 , v = and w = 3 It can be shown that 3u – 5v – w = 0. Use this fact (and no row oper...

A: Given that, u=725, v=313 and w=610 And relation is 3u-5v-w=0

Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing dev...

A: Given:x=2t3+3t2-12t,y=2t3+3t2+4

Q: 7. Solve (a) y' = (5y²)-1

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Q: A box is partially filled with sand. The length of the box is 8 mm. The width of the box is 17 mm. I...

A: Given: Length of box=8 mm Width of box=17 mm Volume of sand is decreasing at rate of 562 mm3/min. So...

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: Find the equation of the normal line to the parabola y=x^2+2x−3, that is also parallel to −2x+2y=9

A: Given that normal line to parabola is parallel to -2x+2y=9. Slope of the line -2x+2y=9 is - coeffici...

Q: (a) Determine when the demand is elastic and inelastic. (Enter your answer using interval notation. ...

A: Consider the equation

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

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Q: the left and right page of an open bookare two consecutive intergers whose sum is 253?

A: let the page numbers are left page n and right page is (n+1)

Q: Based on the graph of a function that I attached how do I Find the graph of its derivative

A: See from the given graph of the function fx, the graph becomes parallel to x axis at the points x=-2...

Q: Find a tangent vector of unit length at the point with the given value of the parameter t. r(t) = (1...

A: Given, r(t)=(1+t2)i+t2j To find the unit tangent vector at the point t=1.

Q: Solve Step 2 beyond

A: It is already given step 1 as shown below.

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter an...

A: Click to see the answer

Q: Geometry The midpoints of the sides of a square of side are joined to form a new square. This proced...

A: Consider the side of the first square as 1 unit. Then perimeter of the first square is 4(1) = 4 unit...

Q: Write the equation of the line that is tangent to the function y = xVx and is parallel to y = 2x + 1

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Q: In problems 11 and 12 determine by inspection at least two solutions of the given initial-value prob...

A: (11) Given differential equation is y'=3y23 and y0=0. Given differential equation can be written as:...

Q: Evaluate the iterated integral

A: Given, ∫12∫02z∫0ln x xe-y dy dx dz

Q: A home gardener estimates that 19 apple trees will have an average yield of 147 apples per tree. But...

A: Total number of apple trees=x+19GIVEN:Additional tree planted the yield will decrease by three app...

Q: Find the inverse of f(x) = x3 + 1.

A: Click to see the answer

Q: A hot air balloon is tethered at an angle of elevation of a/6. The rope holding the balloon is being...

A: Given Data: The angle of elevation is: α=π6 The rate at which the rope is being brought is: dxdt=-4 ...

Q: Find the centroid of the region bounded by the graphs of f(x) = x2, g(x) = 2x, x = 2, and x = 4.

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Q: 53-54 - Solving a Matrix Equation Solve the matrix equation by multiplying each side by the appropri...

A: 53. The matrix equation is 3-2-43xyzuvw=10-1213

Q: Let logb 2 = A and logb 3 = C. Write the expression logb 6 in terms of A and C.

A: According to the question, we have write the expression logb6 if logb2=A and logb3=C. As the above e...

Q: You can sell 40 cars per month at $20,000 per car, and the demand is increasing at a rate of 3 cars ...

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Q: If x2 + y? = 36 and dx/dt = 3, find dyldt when y is positive and (a) x = 0: dyldt = (b) x = 1: dyldt...

A: Click to see the answer