dx Perform the Integrations 1+ sin x+ cos x Use the editor to format your answer

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: Evaluate: / cot-12 e Sa dß. ß cot-12B – In|1+482| + C A B cot-128+ -In| 1+482| + C 8 ß cot-12B+ In|1...

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Q: Find the derivative of the following functions a.) f(x)=- 17- 3x +1 b.) f(x)= | c.) f(x)= e"(2) d.) ...

A: For (a),    x7-3x' =x'7-3x-7-3x' x7-3x2=1·7-3x--327-3xx7-3x2=14-3x27-3x7-3x For (b),     t3+1t3-14' ...

Q: 4. f Inv9 - x2 dx - integration by parts

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Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboar...

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Q: 5 dA over the region R = {(x, y) | 0 < I< 5,0 < y < 3} by identifying it as the volume of a solid.

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Q: find eigen value of matrix A -2 %3D -4 2. 2.

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Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x 1 %3| about th...

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Q: Stan"(w}sec°(w)ax u )کب + 27 + ه-)J ب)ا 20 - )J No appropriate Match au)کی - 207 - ه-)J du )قی + 27 ...

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Q: Evaluate: ,(3y6 + 8y* – 9y²)dy 2

A: Given:    ∫-22 3y6+8y4-9y2dy

Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: Evaluate: " sin7 cos4 dx

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A: To find the rate of change of unit revenue, We will differentiate the given relation formula with re...

Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t L...

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: Determine the Riemann sum that represents the illustration below. The function is lx) = 2x. Y 6. 4- ...

A: Explanation of the answer is as follows

Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

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Q: -1 2. cos

A: 2.cos-1-12

Q: er the following function and express the relationship between a small change in x and the correspon...

A: Topic:- application of derivatives

Q: 1. Evaluate the definite integral S ,2 C (9x² + 5)dx by the limit definition.

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Q: Given the matrix 5 7 Find the Characteristic Equation and find its solutions (aka: eigenvalues). AR ...

A: The given matrix,9-157

Q: Find the domain and range of -4 < a<0, f(r) = 0 <r<4.

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 18j as ...

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Q: The integral expression: 0c Ocos20 d0 can be evaluated by parts of the form: udv =uv – vdu. The prod...

A: solution is given below.. by integrtion by parts

Q: 3000 people are infected when the pandemic is first discovered. 16000 people are infected 7 days lat...

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Q: A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 13, f(1) =...

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Q: .3 9. dx dy y2

A: Find the double integration. 

Q: 1. Evaluate the limit. Do not use L'Hopital's Rule a. lim e7x+2 X→-00 b. lim tan(Ttx) 1 4

A: Just take the limit and calculate them.

Q: An exponential function has a decay factor of 0.03. What is the percentage decay rate?

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Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: .fe* sin( -4x)dx

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Q: Question 8 TT Evaluate: " sin7 Cos4 dx

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Q: Make a switch to cylindrical coordinates to evaluate V² + ² dV , where E is the region inside the cy...

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Q: Find the equation of one of the tangent lines to the circle x^2 + y^2 = 5^2 that passes through the ...

A: Here, to find the equation of the tangent line to the circle  x2+y2=52⇒x2+y2=25...(1) that passes th...

Q: Evaluate: S,(3y6 + 8y* – 9y2)dy 2

A: Given query is to find the value of the integral.

Q: x3 2. J Sadx 2. 3.

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Q: A). Domain, Symmetry, Asymptotes, Intercepts, B). f', Critical Points and Local Max/Min Values, C). ...

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Q: *xsin-'xdx The antiderivative of is x-V1-x2 sin-!x+C A True (B) False

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Q: S- dx = In]x| – e* + C 5. S 2²+3*dx = 4| + C In 8

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Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

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Q: Given the vector function. Calculates the principal normal vector N(t) when t=6.9

A: Question- Given the vector function. Calculates the principal normal vector N(t) when t=6.9 ?      

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: 4 Vva – 1dx 2

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Q: The integral of t2ln t with respect to t is; A (3ln t-1)+C B ®(3in t-1) +C none of the given choices...

A: Given: The integral of t2lnt with respect to t

Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh )(tanh a+/Ð) + 2 csc-' (tan(y + 1))

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Q: a | t. (a² – t²)®* dt 0.5

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Q: Determine all critical points for the function. f(x) = 20x3- 3x5

A: Topic:- calculus

Q: Find the approximate surface area of a sphere of radius 3.02 in. (Use differentials)

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Q: x2sin2x dx Evaluate: - 2x?cos2x – 2xsin2x + cos2x +C A 4 -2r?cos2x + 2xsin2x – cos2x C None of the g...

A: We can solve as follows

Q: Find an equation of the ellipse that has center (-3, 4), a major axis of length 12, and endpoint of ...

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Q: Select ALL possible answers if there is more than one. Which of the following statement's is/are NOT...

A: To solve the following problem