y = - x+ sin 2x, 6 6 6 6.

Q: A. Use Pascal's Triangle to expand the ff. expression.

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Q: Determine the point on the curve where the tangent is horizontal.

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Q: Suppose that Stuart is 6 feet tall and is walking towards a 20 foot streetlight at a rate of 6 feet ...

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Q: Which is a parametric equation for the curve 25 = (x +7) + (y+ A. c(t) = (5 cos(t) – 5, 5 sin(t) – 7...

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Q: Given a = 21 and c = :26, find the missing side and angles in the right triangle, where b across fro...

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Q: Show that, sqrt(1+x) < 1 + x/2, if x>0.

A: By mean value theorem, since f(x)=1+x is continues and differentiable in the interval 0,x for x>0...

Q: Test the series below for convergence using the Root Test. 5n +1' 4n + 2 n=1 The limit of the root t...

A: ∑n=1∞5n+14n+2n

Q: Solve the following triangle. I10° 10 (Simplify your answer.) (Type an integer or decimal rounded to...

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Q: Find dy/dx, simplify if needed. y=sin^2(4x) + (1/2) cos 8x

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Q: 7. 7. '5 If f(x) dx = 8 and 1 f(x) dx 5 3.3, find f(x) dx. %3D

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Q: Use upper and lower sums to approximate the area of the region using the given number of subinterval...

A: From the definition of upper and lower sum we can find those sums.

Q: How can y=30x-10x^2 be put in terms of y instead of x? Like with y=5x^2, x=sqrt(y/5). I'm trying to ...

A: First make quadratic equation in terms of x  And then solve the quadratic equation   

Q: 1. Evaluate the following limit. lim x In 1- X-00

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Q: 3- I want solution of all sub-part questions. Thanks

A: Given a function f(x), its value at some x=c will be given by replacing x by c in the function i.e. ...

Q: A person's investment is expected to produce a continuous stream of revenue, R, of R(t) = 2500 t + 8...

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Q: The top of a 190-foot vertical tower is to be anchored by cables that make an angle of 30° with the ...

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Q: V26 Suppose we want to evaluate the definite integral, t(1+t) dt using the substitution, u = 1 + t2....

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Q: What angle in radians corresponds to 6 rotations around the unit circle? Enter the exact answer. Edi...

A: One rotation around the unit circle equals 360 degrees or 2π radians.

Q: Find the interval of convergence I of the Maclaurin series for the function f(x)=cos(x5). Write your...

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Q: Use the substitution formula to evaluate the integral.

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Q: Test the series below for convergence using the Ratio Test. nº 0.8" n=1 The limit of the ratio test ...

A: Ratio test:

Q: A particle is moving with the given data. Find the position of the particle, s(t). v(t) = t2 - 6Vē, ...

A: Explanation of the solution is given below...

Q: Given the velocity v = ds and the initial position of a body moving along a coordinate line, find th...

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Q: The population of a city is expected to be P(x) = x(x2 + 16)-1/2 million people after x years. Find ...

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Q: ngle, two triangles, or no triangle at all. Solve each triangle that res a = 11, c = 12.3, A= 53° le...

A: The two sides are given a=11 , c=12.3 and A=53°. Apply sine law to find the angle C, asinA=csInC 11s...

Q: 16 Suppose we want to evaluate the definite integral, Part 1. Re-write the definite integral in term...

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Q: Find the area of the triangle. a = 25, b=7, c= 24 The area isOsquare units. (Simplify your answer.)

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Q: Question Given the geometric sequence t„ with t1 = 96 and r = - -i, find t4. Give your answer as a f...

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Q: only need second part

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Q: Find exact values for the coordinates (x , y) of point W in the figure below. 0 = 210 ° r = 12 W Ent...

A: The value of x is calculated as, x=rcosθ=12cos210=12cos(180+30)=-12cos30=-1232=-63

Q: Estimate the area under the graph of f(x) = x° between x = 0 and x= 4 using each finite approximatio...

A: Given: f(x)=x3   between x=0 and x-4

Q: Given x5 + y5 = 1, find yn

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Q: How do you graph D ,E,F?

A: We know r is the distance from the origin and θ is the counterclockwise angle For (r, θ) Plot the po...

Q: 2+1 dt

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

A: a. f(x)=x2-24x-5,x≠5 Differentiating the given function with respect to 'x', we get f'(x)=x-5ddxx2-2...

Q: Here is some information about a function f(x): f(0)=1. f′(x) is positive on (−4,4) and negative on...

A: Step:-1 1. If f''(x)>0 then function is concave up. 2. If f''(x)>0 then function is concave do...

Q: Suppose you are estimating √5 using the first Taylor polynomial of the function √x about x=4. Use Ta...

A: Define a function fx=x. 

Q: Part 1. Suppose that you want to re-write an integral using a substitution, in this case, x11 1 dx =...

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Q: Find the end points of the minor and major axis for the graph of the ellipse (x – 4)?, (y - 1)? = 1 ...

A: Given, x-429+y-1236=1 Standard form of the equation of an ellipse with center h,k, and whose major a...

Q: r3 ex dx = e3 – e '3 Use the properties of integrals and | (2ex – 2) dx to evaluate

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Q: Use the definite integral and the Fundamental Theorem of Calculus to solve the following problem. If...

A: Surface area of cube = 6a2 square units Now,              Fundamental Theorem Of Calculus states tha...