Determine the sum of the following series. 31 10 Σ(1)

Q: limx→→∞ √1-x+2x+7 2 9x +5 - 3x

A: limit.

Q: COS X d) f(x)=3sin √√x³ -3x+2___ _e) ƒ(x)=! f) h(w) = 3 cos(tan w)

A:

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: To find out the tangent line approximation.

Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =…

A:

Q: A sphere with dimension [r=5m] what is the error that can be incorporated in the redais shuch that…

A:

Q: 1/

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy= Need…

A: Using derivative

Q: Find The complete Solution of the differential eqution y" +24+4y=cosx Subjected to The condition…

A:

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: Find n

Q: IV. Find Do not simplify your answers. dy dx 1 1. cos x + y² = x coshy - 2y, where x > 0

A: Given problem:-

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here we have to find the area.

Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. 0.5- के 2…

A: Solved below

Q: 3. Suppose that the revenue in selling a tables is equal to 200x -0.25x² dollars, and producing a…

A:

Q: Solve the D.E ý - 25 +2y = 2X+3

A:

Q: 7. Find the slope of the tangent to the parametric curve x = t - lnt, y = t + lnt at the point (e +…

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Q: Ex. (9) Solve 3y"-2y' + y = 4x+2

A:

Q: Express the series using sigma notation 5-10 + 20-40+80 °5(-2)-¹ 21 -2n-5 7-1 0-5(-2)-1 -2(5)-¹ 7-1…

A: Infinite series

Q: Replace the Cartesian equation with an equivalent polar equation. x² y² 4 + = 1 49 The equivalent…

A:

Q: Find . DO NOT SIMPLIFY YOUR ANSWERS. 1. log₂ √√2x² 2x² + y) + tan(x² − π²) = sin¯`¹²(x² − 1) + ½ /

A: To find dydx.log32x23+y+tanxπ-πy=sin-1x2-1+π2

Q: Given: (x is number of items) 3844 Demand function: d(x) = √x Supply function: s(x) = 4√x Find the…

A: The demand function is given by dx = 3844x The supply function is given by sx = 4x To evaluate: The…

Q: Integrating Factor by Linear Equations: 7.xx-y-5x43x² + 2x = 0 dx

A: Let's find.

Q: Complete the table. (Round your answers to four decimal places.) X-7 x-7x²²-8x+7 x 6.9 6.99 6.999 7…

A:

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = = Using…

A:

Q: 2. y = tan (cosh x) (sin x)(sech x) secx (use logarithmic differentiation)

A: As per the requirement of the student question number 2 has been solved. Here we need to calculate…

Q: Find the area under the curve y = Find the average value of y = 7x³ over the interval [0, 4]. 7x³…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18

A:

Q: Question 2. Determine the equilibrium price(in hundered rand) and quanity (in thousand units) of a…

A: Find your answer below

Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

A: This question is based on application of integration.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If l'Hospital's Rule does not apply,…

A:

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 2√x lim CSC X

A: Explained below

Q: Q6: If z = x2 and ad y, then 이렇 이렇 소설 이를 Choose e) others

A: Given problem:- If z=x2 and y=z3/3  To find:- dy/dz

Q: How many outcomes are in the sample space if a coin is flipped three times? 8 9 6

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² Read It Need…

A: We can solve this as follows:

Q: Integrating Factor by Linear Equations: dy 11.42 dx =

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

Q: Describe the graph of the polar equation. 5r cos 0 + r sin 0 = 7 Line with slope 7 and y-intercept…

A: Explanation of the answer is as follows

Q: Graph the pair of parametric equations with the aid of a graphing calculator. (Hint: don't forget to…

A: Given data÷

Q: Find the area of the region enclosed between f(x) = x² + 4x + 12 and g(x) = Area = | 2x² + x + 2.

A:

Q: 1. Consider the differential equation: dy = = 2y - cos (3t) dt a. Find the homogeneous and…

A:

Q: integral x²y dx - xy²dy where C: is the circle x² + y

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find u+v

Q: Solve the given initial value problem and determine at least approximately where the solution is…

A:

Q: Find the derivative of the function. f(t) = (9t+ 9)2/3 f"(t): =

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2/3 dy = Need Help? Read It…

A:

Q: Part a) Plot the point given in polar coordinates. (-3, 2pi/3) Part b) Find three additional polar…

A: answer is in next step

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (1,…

A:

Q: Integrating Factor by Inspection: 3. xdyydx = 3x²(x² + y²)dx

A:

Q: If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

Q: 3. lim x 3 (x-3) tan(9-x²) sin (2x-6)

A: Explanation of the answer is as follows