Find the slope of the tangent line to the given polar curve at the point specified by the value of 0. r = sin(8) + 3 cos (8), 8 = T IN 2

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Q: Find the work done by the force field F in moving an object from P to Q. F(x, y) = e¯¼i — xe¯½j;…

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Q: - Express as a single logarithm with a coefficient of 1. 1 (4 logx - log√x5) + log (√x²) 2

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Q: a) Find the critical point(s) for the function_ƒ(x,y)= 3x² − 2xy + y² − 8y.

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

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Q: If cosa = 0.776 and sin ß= 0.946 with both angles' terminal rays in Quadrant-I, find the values of…

A: Given that  and  in Quadrant I

Q: Use the graph of the function to state the value of lim, o f(z), if it exists. f(x)

A: f(x)=x2+x3x3+x2

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Q: 5400 at 7% compounded quarterly for 5 years

A: Compound Interest Formula is given as follows Where A is the final amount after time t P is the…

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Q: Simplify first, then evaluate. Final answers must be exact values. a) log, (√81)³ Text b) log₁2 162…

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Q: □ 1. Select the Cartesian form of the parametric curve defined by x = 6 cost, y = 6 sint. - 3² 1 6 6…

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Q: π.χ. COS(TEX) 3 f(x) = 7 cos

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A: Solution is following in step 2.

Q: -√2/2 x² √1-x² Evaluate √²/2 dx. Show the details!

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Q: 17. An unknown radioactive element decays into non radioactive substance. in 560 days the radio…

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Q: Find the area under the curve f(x) = = O u x√in: Vin V 9 = = as shown below.

A: The given function

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Q: 7 Suppose f(x)dx=3, f(x) dx = -5, and g(x)dx=7. Evaluate the integrals in parts a - d. >ff(x)dx=3.…

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Q: Find [[ cos (² + y²)dA where D = {(x, y) | 16 ≤ x² + y² ≤ 36}. Round your answer to four decimal…

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Q: For the given cost function C(x) = 48400 + 300x+x², =

A: C(x)=48400+300x+x2

Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.…

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