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Q: Calculate the derivative of the function y(x) given by the equation x2+2xy+2y2=1 under condition y=1...

A: For y=1 we find x  

Q: Evaluate the limit. –1+}² 1.2 COS I lim 2.x4

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Q: state what method applies and how one applies it, but do not evaluate the integral:

A: Given integral is We will evaluate the integral by substitution method.

Q: Using the definition of monotonicity prove that the function f(x)=x2+1 is strictly increasing for x≥...

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Q: A man of 2 mts tall is approaching a lamp post at the rate of 0.5m/sec.if the lamp post is situated ...

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Q: Find the volume of the solid in the first octant bounded bythe cylinder z=16 -x2 and the plane y=5

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Q: 3. For the following exercises, use the graph of y= f(x) to sketch the graph of its derivative f' (x...

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Q: Find any intercepts and test for symmetry. Then sketch the graph of the equation x = y3

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Q: a. Graph y = cos x and y = sec x together for -3p>2 … x … 3p>2. Comment on the behavior of sec...

A: a) We graph the functions using a graphing calculator. The sign of secx is the same as the sign of ...

Q: 8.4.    10

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Q: by regarding y as the independent variable rather than x. Solve the differential equation. 27. (x + ...

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Q: Calculus Question

A: We sketch the region using a graphing calculator.  

Q: 2sin^2(x)−7sin(x)−4=0 for all solutions 0≤x<2π

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Q: evaluate the integral using the Integration by Parts formula with the given choice of u and dv.

A: Given: Calculation:  

Q: Calculus Question

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Q: If z=43

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Q: dy Consider the differential equation da TY (A) At the point (0.5, – 0.5), the direction field has a...

A: (A) Consider the given DE. The slope of the direction field is equal to the DE. Find the value for t...

Q: At what times in the interval 0<= t<=pai are the velocity and acceleration vectors of the moti...

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Q: Is ƒ continuous at x = -1?

A: From the graph, we see that x=-1 is an endpoint  And it has a closed circle. That means the function...

Q: A particle is moving along the curve given by the parametric equations x=tant, y=sect. Find the part...

A: A particle is moving along the curve given by the parametric equations . The velocity vector of par...

Q: In Exercises 5–10, graph the points z = x + iy that satisfy the given conditions. b. z| 2 5. a. z =...

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Q: Convert the point (-V3, -V3) in rectangular coordinates to polar coordinates that satisfies T< 0,- <...

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Q: Find any intercepts and test for symmetry. Then sketch the graph of the equation y = 2 − 3x

A: Here given function Since it is a linear function So it is symmetry about x-intercepts.  

Q: find the volume,The finite region bounded by the planes z = x, x + z = 8, z = y, y = 8, and z = 0

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Q: Find the derivative dydx of the function x=arctanet, y=1+e2t at t=0.

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Q: Find the area of the region that lies inside the cardioid r = 1 + cos u and outside the circle r = 1...

A: We first find where they meet   

Q: say whether the function is even, odd, or neither.Give reasons for your answer. sin 2x

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Q: Let R be the region enclosed and the graphs yo sinx 山×70

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Q: Even and Odd FunctionsIn Exercises 47–58, say whether the function is even, odd, or neither. Give re...

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

Q: Consider the curve given by cos(x)+cos(y)+2x+y=2. Determine dy/dx for this curve using implicit diff...

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Q: Write the composite function in the form f(g(x)) .[Identify the inner function  u =g(x) and the oute...

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Q: just section a I don't want you to send the old solutions.

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Q: Find a Cartesian equation for the curve and identify it. r2 cos(2θ) = 1

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Q: Express the following logarithms in terms of ln 5 and ln 7.

A: Since we only answer up to 3-sub parts . We'll answer the first 3. Please resubmit the question and ...

Q: Find the limit

A: Given limit is Let us substitute

Q: Find the most general antiderivative of each of the following functions  f(x) = sin x

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Q: 3, Let R be the of: y: sinx region endlosed bu the grophs n enclosed by and 1 x70 . Groph R and find...

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Q: Find the inverse of ƒ(x) = -x + 1. Graph the line y = -x + 1 together with the line y = x. At what a...

A: To find the inverse we plug f(x)=y , then switch x and y , and then solve for y Answer(a): Inverse ...

Q: i cant do this logic question. If someone is lying, who copied the assignment?  Alex: Cate copied th...

A: Given, Alex: Cate copied the assignment. Cate: David copied the assignment. David: Cate is lying. Ke...

Q: Calculus Question

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Q: Please can you give me the exact answer?

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Q: What are the Even Functions and Odd Functions?

A: Let f(x) is a function.  If f(-x)=f(x), then f(x) is called even function.  If f(-x)=-f(x), then f(x...

Q: Using the properties of monotonic functions prove that the function f(x)=x4+3x2 is strictly increasi...

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Q: Please can you give me the exact answer?

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Q: Find the vertical asymptotes (if any) of the graph of the function. f(x) = 3/x

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Q: please show me how to solve

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Q: Determine lim f(x) for fas in Figure 10. x➔0.5

A: Given figure:  

Q: Evaluate the triple integral. 3xy dV, where E lies under the plane z = 1 + x + y and above the regio...

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Q: Find d3y of the function y=xln1/x.

A: Given: Calculation:  

Q: In Exercises 71–74, find a function z = f(x,y) whose partial deriva- tives are as given, or explain ...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.