Q1: A- Write the following algebraic expression in its simplest form: 5x+3x²+5x+6 X *+3 25x²-9

Q: Plot the point with the given polar coordinates. Choose the graph below that represents the point O…

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Q: 2 . show that V(x,y) = x 'f (2x+y) is the general Solution of: av X du 2X 1 = V ду dx

A: To show that, vx, y=x f2x+y is the general solution of: x∂v∂x-2x∂v∂y=v

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: Consider the integral x³+1 x³(x²+1) -dx What is the correct partial fractio OA Bx + C

A: We have to choose the correct option from the given options according to the given information

Q: 2. Evaluate Solve all parts or I'll dislike. If you can't solve all parts just skip it da da d. +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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Q: 6) Approximate √²³|x² −1|dx with a right-endpoint Riemann sum using four equal subintervals.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve 2 cos² (w) - 7 cos(w) + 5 = 0 for all solutions. W = where Select an answer Give your answer…

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Q: 2. Evaluate da da d. Java [. 2 / + 3 + a r/Mr | 1 | dr ar/rº +1

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Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 5 of…

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Q: A ball is thrown downward with a speed of 13 ft/s from the top of a 169-foot-tall building. After t…

A: Basic quadratic equation and derivative are to be calculated

Q: Which among the sets is open? a. [0,1) b. {0,...,1/n,...,1/3,1/2,1} c. R\[a,b] d. None of the above

A: The objective of the question is choose the correct option that is a open set.

Q: (a) the volume of R using cylindrical coordinates with dV = r dz dr de w

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Q: Determine the constants c and d in the equation of the curve y = ax + b³ + cx+d having a critical…

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Q: Evaluate the double integral over the rectangular region J 6(x sin(y) – y sin(x)) dA; R = = {(x, y):…

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Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = r (a)…

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Q: #3) find the dimensions of a rectangle with perimeter 100m whose area is as large as possible. a)…

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Q: Evaluate [(x +2y) ds, where C is the curve defined by y = √√4 – æ², for x = [0, 1

A: Here ds is arc length.

Q: Find the volume of the solid generated by rotating around the x-axis the area enclosed by the curves…

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Q: • show that ф (x, y, z) = 8²4 PDE: аф + дуг дуг x2 +у2 +Z2 го деф ?72 satisfies the

A: The given function is;  Phi(x,y,z)=1/sqrt(x2+y2+z2).

Q: dy Write down a differential equation of the form dt all other solutions diverge from y 9 as t →∞. =…

A: The differential equation has a form dydt=ay+b whose all other solutions diverge from y = 9 as t→∞

Q: Draw a direction field for the given differential equation. Based on the direction field, determine…

A: We have to draw the direction field for the given differential equation.

Q: Gi‎ven: ∫ 40∫ 4−z0∫ 2√y f (x, y, z) dx dy dz a. Sk‎etch the so‎lid of integr‎ation of the give‎n…

A: Let's solve.  1.   Sketch the solid.

Q: f(x) = (2-1)³

A: Given: f(x)=2−x415 To sketch the graph of f(x) Let's first find where f(x) will be zero

Q: An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4…

A: This question can be solved using the concept of speed,time and distance.

Q: Round-off your final answer to two decimal places 5. √3x + 4dr

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: Find all numbers b such that the average value of f(x) = 7+ 8x - 6x2 on the interval [0, b] is equal…

A: Value of b is given.

Q: curve described by:

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Q: he function f(x) - 2x³ 30x²+144x + 6 has one cal minimum and one local maximum. Use a graph of the…

A: Please refer to the image below

Q: y² = 8x, y = 2x; about y = 4.

A: Volume of solid is evaluated.

Q: Let V₁, V2, and v3 be vectors in a vector space V, and let T:V→ R³ be a linear transformation for…

A: Given :T(v1)=(1,-1,2)T(v2)=(0,3,2)T(v3)=(-3,1,2)

Q: Set up the double integral that will find the volume of a solid bounded by z = 1-y²-2² and the ry-…

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Q: Evaluate y' y = cosh²12x +sinh²6x

A: To find out the derivative.

Q: ¹ ln(1 + x) dx X 0

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Q: 3. Set up the iterated double integral in polar coordinates that gives the volume of the solid…

A: We have to find the volume of the given in polar coordinates.

Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

A: I have just use the methods and easily find the all solutions. Main solutions are in the boxes.

Q: Evaluate the Integral Sec² √r √x dr Njw SYD

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Q: For the curve xy + x2y - xy² = 1, use implicit differentiation to find the equations of the tangent…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: (1² +21) dx dt = = 2x + 2 (t, x > 0), x(1) = 1

A: Given that: (t2 +2t) dx/dt  = 2x+2 ; x(1)=1. Find the solution of this initial value problem.   Here…

Q: . For the function f(x)=x 4 -5x 3 -9x 2 +2x+1determine the intervals of concavity and inflection…

A: f(x)=x 4 -5x 3 -9x 2 +2x+1

Q: Use Cartesian coordinates to evaluate JIJ y² dv 2 D where D is the tetrahedron in the first octant…

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Q: (2xy-sinx) dx + (x² - cosy) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: Evaluate the definite integral. 1 Г хзе-ха dx 0 Need Help? PRENT

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Q: Find the volume of the solid that is bounded by the cylinder z = 4x2, on the sides by the cylinder…

A: Let's find volume of solid.

Q: f(x) = 4√x + 2x1/2 – 8x-7/8 + x2 1 23 +2

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Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

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Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = 1², y(t) = 2t, z(t) = ln t, t€…

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

Q: If a set S has both a minimum and a maximum, then S is closed.

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