√2+√3 1. Show that 2 sum or difference identities and (b) half-angle identities √2+√6 4 π by solving for cos () using (a) 12

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A: Given a function y=f(x)

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A: Given Diameter= 48in  So, Radius= 24in Speed= 55mi/h We know that 1mile=5280 feet and, 1feet=12in

Q: Evaluate the definite integral ANSWER: Blank 1 [₁ Blank 1 Add your answer esin k-1 cos k dk

A: Given query is to find the integral.

Q: 6. Sketch the graphs of the functions, f(x) = 2* and g(x) = x - 1 on the axes below. Then, on the…

A: we need to graph the functions.

Q: 4. Find the formula for the inverse function of f(x): f^(-1)(x) 3x - 5 4x + 1 ƒ(x) = =

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Q: £ { c cos 10x

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Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (2) Σ…

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Q: Let f′(x)=√x−2 and suppose that f(9)=4. What is the value of the constant term in f(x)

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Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

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Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. 00 (2) Σ…

A: To solve this problem we can use p-test , comparison test and root test

Q: 6. 4. 2. 2 Use the graph to determine lim f(x). x →4 1. limit = 7 2. limit= 5 3. limit does not…

A: Given query is to find indicated limit form the graph.

Q: Consider the following functions. f(x) = g(x) = 2x + 8 X Find (fog)(x). Find the domain of (fog)(x).…

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Q: 5. Consider the tables of values for the two functions shown. X -2 −1 0 1 2 y = f(x) 9 4 1 0 1 X -2…

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Q: Find the relative maximum and minimum values. f(x,y) = x² + y² - 10x+10y - 7 Select the correct…

A: Find the relative maximum and minimum values. f(x,y)=x2+y2-10x+10y-7

Q: Determine the second derivative of the parametrically defined curve represented by the equations…

A: Use the chain rule to differentiate with respect to t.

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Q: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A =…

A: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. and A =…

Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we have

Q: (b) Let I be an interval and f: IR be increasing. Show that fn(x) = f(x) +, defined on I, is…

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Q: Sketch the graph of y = x³ - 6x² + 9x + 1 by first finding the following a) the intervals on which y…

A: Given :   find first derivative  equate to zero to find critical point

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Q: Find the first four nonzero terms of the binomial series for (1+x²)71/³

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Q: Evaluate the given integral: S 0 4 sin x cos x Cos 2x dx

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Q: 2. Let f(x) = x − 2 cos x on the interval [0, 2π]. (a) Find all critical numbers of f(x) inside [0,…

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Q: a Level 1: Matching 1) Match the standard form of the inequality with the slope intercept form. 4x +…

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A: Given: The future value, F = $50000 Interest rate, i = 8% Time, t = 15 years

Q: 10. The area between two curves is expressed as: A = [f(x)-g(x)]dx If a horizontal element of area…

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

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Q: 10 Consider the function f(x) 8x¹0 + 10x52x¹ – 9. Enter the antiderivative of f(x) + C

A: Solution: f(x)= 8x10+10x5-2x4-9 Antiderivative of f(x) is

Q: Such that R : N → N a relationship defined by: R = {(n,m) / n + 3m = 12; n,m ∈ N Ʌ m<=3} a) Express…

A: Let's solve.

Q: Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of 9 cm…

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Q: Solve for x: 2sinx=3

A: NOTE: Refresh your page if you can't see any equations. . the given expression is divide both sides…

Q: If f'(x) = cosx-9x²- 1 Xx

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Q: Given f(x) = ax³ + bx² + 9x + c. Find b so that (2,3) is a point of inflection of the graph of f and…

A: The inflection point of the graph of f is (2, 3). So,                  f''(x)=0 at (2, 3)⇒6ax+2b=0…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 1.5…

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Q: A 25-year old woman burns 300 - 20t cal/hr while walking on her treadmill. Her caloric intake from…

A: intake cal=140tburns cal =300-2t∫xndx=xn+1n+1+c

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Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

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Q: Find a parametric representation for the surface. The part of the cylinder  y2 + z2 = 144  that…

A: The answer is in step 2.

Q: 0014 Sin c) 50⁰ 1 dx x dx d) -²1-28

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Q: A particle moves along a line so that its velocity at time t is v(t) = t^2 − 4t + 3 measured in feet…

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Q: Question 3. Use linear approximation to approximate 1.1 to 6 decimal places

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Q: 10. Determine whether the following series converge or diverge: (Integral Test) a) En=2 In (n) n 1…

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Q: An isosceles triangle is inscribed in a circle of radius 20cm. Find the dimensions of the largest…

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Q: e 2x³ y = e Y

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