Q2, 2) State both the triangle inequality and Cauchy-Schwartz inequality in SIMPLE AND CONCISE AND EASY TO UNDERSTAND words.

Q: 7* +(7)* 2 7. If A. 2 = 1 then x= B. 4 C. -1 D. 0

A: using substitution and any number having power 0 is equal to 1.

Q: ou missed a square at first. it is 22dx/(x2-1)2  please fix it

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Q: Find the area bounded 1. 2x2 +4x+y=0,y=2x

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: 5. -9.763332111 is a Whole number. O True O false

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: 3√3 2 0 x3 (4x² +9)3/2 dx

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Q: Find the area under the graph of the function over the interval given. y=x*; [2,3] The area under…

A: Given query is to find the area under the curve.

Q: f(x) = 9x²

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x +…

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Q: 2. Find the area between the functions: y = x³-12x + 10 and f(x) = -3x + 10 3. Find the area between…

A: We have to find the area.

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: Use the graph to answer these questions. a. Find lim f(x) and lim f(x). X-4* X-4 b. Find lim f(x).…

A: The graph of the function is  To evaluate: a. limx→4-fx and limx→4+fxb. limx→4fxc. f4d. Continuity…

Q: In2 fin² coshx dx

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Q: Q.17: Find an expression for the nonhomogeneous ODE whose general solution is given by: y = Ae³x…

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Q: 3 For y = f(x) = 6x³, x=4, and Ax=0.05 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

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Q: What are the applications of these derivatives?

A: First derivative tells the rate at which the original function changes.  Second derivative tells the…

Q: Determine the rules of differentiation used and solve the derivative of the function.

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Q: Using Simpson's method off, no spaces) Blank 1 0.66 √√x dx for n= 4 is equal to 0.66 (use 2 decimal…

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4x1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-1+4fxn-1+fxn…

Q: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

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Q: Sin(x) is an odd function O True O false

A: If f(-x)=-f(x), then f(x) is called as Odd Function.

Q: dx x lnx√9 ln²x-1 S

A: Given: I=∫dxxlnx9ln2x-1   ...(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by…

A: Given  problem:- a) Use the Product Rule to find the derivative of the given function. b) Find the…

Q: MY NOTES ASK YOUR TEACHER At 2:00 PM a car's speedometer reads 30 mi/h. At 2:15 PM it reads 50 mi/h.…

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Q: y dx y = 9x+8 Find dx

A: The given function is: y=9x+8   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Rule:…

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 3 2x - 8x

A: see below the answer and calculation

Q: 4. Sketch the graph of one function f(x) that has all of the following properties: a.) The domain of…

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Q: Q3 2. S a. Tuate Toul sinx cosx √1+cos2x dx

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Q: 2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung so that its location is 5 meters…

A: 2.

Q: S 0 Question 8 A lighthouse L is located on a small island 2 km from the nearest point A on a long…

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Q: b) lim x²-25 X-4 X+5

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Q: A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 39…

A: Answer: The solution is as given below:

Q: Q3/ Evaluate four of the following integrals. a. S sinx cosx 1+cos2x dx_b. f*¹ dx c x²

A: INTEGRATION

Q: 2 f(x) = √2x + x².

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Q: Find dy of the function y = cos2 3X + √√Sin x dx

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Q: 1-In which condition the LCM  of two numbers is one of the numbers? Give an example? 2-In which…

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Q: The best method applicable to find the volume of the region bounded by .x = -y² and x=y-6 revolved…

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Q: Activity 1. Determine the antiderivatives of the following functions. 1. f(x) = (x + 1)100 2. f(x) =…

A: 1. fx=x+11002. fx=x2+x102x+13. gx=x31-x4 Note:    Multiple parts are given, we are answer only three…

Q: Forces of 19lbs and 40lbs act on a body producing a resulting force of 50lbs. What is the angle…

A: The given two forces are 19lbs and 40 lbs. The resulting force is 50 lbs. Because the resultant is…

Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…

A: Given: A=4i−6j, B=i+7j and C=9i−5j Since you have posted a question with multiple sub-parts, as per…

Q: c) lim x-0 √x+5-√√5-x x

A: Given query is to find the limit of the expression.

Q: 4 e) y = (2x + 5)

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Q: (0.01)365 O True O false > (1.00) 365

A: Check the statement

Q: Compute for f '(3) using the limit definition of derivative if f(x) - 6x²

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Q: Consider the function f(x) = 2x + 1. Find its derivative

A: The limit definition of derivative is: For a function f(x), the  derivative of f(x) is defined as:…

Q: 2 4 cot 4 x dx

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Q: Directions: Using Fundamental Theorem of Calculus (FTOC), compute the following definite integrals.

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Q: 9. Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

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Q: Determine the intervals on which the function is concave up or down and find the points of…

A: solution:-f(x)=6x3-11x2+1f'(x)=ddx6x3-11x2+1=18x2-22xf''(x)=d2dx26x3-11x2+1=36x-22

Q: Given the function define by C = -0.04q³ +8.4q²-348q +228 so the rate-of-change function of C with…

A: topic- derivative of a function

Q: 2. y = x³, y = 4x²

A: Given query is to find the area under the curve.

Q: S dx (1+x) √x

A: Given,I=∫11+xxdxSubstitute  u=x(u2=x)Differentiate du=12xdx2du=1xdxThereforeI=∫21+u2du