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Calculus

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Q: Convert the rectangular coordinates, ( 5, -5 ), to polar coordinates, with r< 0 and 0 <0 < 360°.

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Q: 3. A rectangular bird sanctuary is being created with one side along a straight riverbank. The remai...

A: Let, two sides= x and another side= y So, 2x+y=12 y=12-2x

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=x^...

A: Concept Used: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and...

Q: Find d?g/dh? if 2g + 3h? : 2h3 8. -

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Q: In Exercises 27–50, find the critical points and the intervals on which the function is increasing o...

A: Consider the given function

Q: (a) The curve with equation 2 y 3 + y2 - y 5 = x 4 -2x3 +x 2 has been likened to a bouncing wago...

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Q: Which one is the right answer? Please provide solutions.

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Q: Han'x sec x d. 237 X Sec xdx

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Q: if m.n,and w are positive integers with mean eguals 20 and median eguals m+11 find the least possibl...

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Q: Which one is the right answer? Please provide solutions.

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Q: Find the derivative of the function. f (x) = (r³ + 10r + 4) ( 4 + (+) f '(x) =

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Q: Calculus Question

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Q: A power plant sits next to a river where the riveris 800 ft wide. To lay a new cable from the plant ...

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Q: How is the answer -54

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Q: Find the 3rd derivative of the function given by the parametric equations x=1+sint, y=t−cost at t=0.

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Q: 7. A wire of length 12 m is divided into two pieces and the pieces are bent into a square and a circ...

A: Let x meter is used for the circle and (12-x) m is used for the square. Let the side length of th...

Q: The integrating factor of the equation 2y (x + y+ 2) dx + (y: – x: – 4x – 1) dy = 0 is: %3D

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Q: True or false?

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Q: Find an equation of the tangent line to the graph of the following function f at the specified point...

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Q: 6.5/6.6. 10

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Q: (a) Evaluate I = SSSp cos(r2 + y?) dA, where E is the region that lies inside the cylinder x2 +y² = ...

A: (a). Consider the triple integral To evaluate the integral, use the cylindrical coordinates. So, th...

Q: Calculus Question

A: Suppose ln2=a and ln5=b, Given expression is We will use the following properties of log to express...

Q: A spherical balloon is being deflated at a rate of 80 cm3/min. At what rate is the radius decreasing...

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Q: Which one is the right answer? Please provide solutions.

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Q: 1. y = 101nx %3D

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

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Q: Integrate

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Q: Give the relation ln(y)+y=x2 find dy/dx

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Q: 9. Sketchthegraphofy=x2−5x+4.

A: We first make a table for y=x2 −5x+4 x 1 2 2.5 3 4 y 0 -2 -2.25 -2 0

Q: A space probe in the shape of the ellipsoid 4x2 + y2 + 4z2 = 16 enters Earth’s atmosphere and its su...

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Q: Use the Intermediate Value Theorem to prove thateach equation has a solution. Then use a graphing ca...

A: Let us consider the interval [-2,2] Let, f(x)=2x3 - 2x2 - 2x + 1 f(x) is a polynomial function, so ...

Q: n=5 II

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Q: (a) If g is differentiable, the Reciprocal Rule says that g'(x) dx g(x) Use the Quotient Rule to pro...

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Q: Find the extreme values of ƒ(x, y) = xy subject to the constraint g(x, y) = x2 + y2 - 10 = 0.

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Q: Find the equation of the circle with center (2, 4):(a) With radius r = 3(b) That passes through (1, ...

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Q: Find the Derivative dy/dx

A: Given,

Q: Evaluate:a. √81 b. -√9 c. √1/25 d. √36 + 64 e. √36 + √64.

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Q: Find the magnitude of u+o if ū = (2,3,-6) and v = t- 21- k. .

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Q: The population of a city is P(t) = 2 · e0.06t (in millions), where t is measured in years. Calculate...

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Q: Find the value of dy/dx at the given point. (Verilen noktada dy/dx değerini hesaplayınız.) xe' + sin...

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Q: Write an integral for the average value of f(x,y,z) = xyz over the region bounded by the paraboloid ...

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Q: lim 1. m, n > 1 is

A: We try to find the limit by substitution

Q: Evaluate the sine, cosine, and tangent of the angle. 180°

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Q: A(1,0) and B(5,0) are points on the x−axis (Figure 9a). Find the y−coordinate of the point M(0,y) on...

A: A rough sketch of the given problem will be as follows:

Q: Given the graph of the function f(x) below, use a midpoint approximation with 4 rectangles to approx...

A: Width of each interval = (6-2)/4= 4/4= 1 So the partition is 2 , 3, 4, 5, 6 So the midpoints are 2.5...

Q: Use the equations to find ∂z/∂x and ∂z/∂y.

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