Consider the following. y y = fix) 4 (a) By reading values from the given graph of f, use five rectangles to find a lower estimate for the area under the given graph of f from x = 0 to x = 10. (Round your answer to one decimal place.) 11.6

Q: 2) Find the derivative of g(x) = 4x^2−3x+5 using the limit process.

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Q: Consider the given isosceles triangle of base 10 inches and side lengths x inches. If is increasing ...

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Q: Determine the third derivative of y = In(2x + 3) Determine the third derivative of y = e(-x²/2)

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Q: (D3 – D2 + D – 1)y 4 sin x

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the d...

A: We will solve by using alternative form of derivative as shown below 

Q: Find the slope of the line tangent to the graph of y= sin3x at x=pie/6

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Q: Find carlesian equation of the followina. the 3-Sine 2. r cas (20)= 4 to 4sin (26) 2- 3.

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Q: sechudu - 2tan".c -tan (sinhu) - C

A: Use the exponential form of sechu and easily prove the integral.I have used many inverse trigonometr...

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 Xa Xa lim p(x) = ∞ lim q(x) = 0, xa evaluate the l...

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Q: 7- 3t+ sin 6t Find the limit of f(t) = as t approaches - 6t + cos 6t 1 lim f(t) = 2 t→- 00

A: Given problem:-

Q: Find the average value of the function f(x) = x- 2x +1 on the interval [-1, 3]. %3|

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Q: Step 3 We have determined the following. 4x2 - 3x g(x) h(x) = ex %3D %3D = 8x - 3 dx [nc»] • ex xp A...

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Q: A ship carrying 1000 passengers is wrecked on a small island from which the passengers are never res...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Iff (0) = g(0) = 0 and f" and g" are continuous, show that f(x)g"(x) dx = f(a)g'(a) – f'(a)g(a) + | ...

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Q: State the type of the quadratic surface: (중)" + (분)2 + (종), =1 1. Ellipsoid 2. Hyperboloid of one sh...

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Q: Write the equation of the line tangent to the graph of y2 = 6y-4x+3 at (-1,-1).  The equtaion is y=...

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Q: Which term best describes the mapping shown? a. relation b. function c. one to one function

A: Given query is to find mapping is a relation or function.

Q: The transformation of a function f (x) into a function g(x) is given by g(x) = Af(Bx + H) + K. %3D w...

A: Topic = Functions

Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the vo...

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-a...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Write the equation of the circle in general form that will satısfy 3e giDen conditions. -0. The cent...

A: Topic: - geometry

Q: You want to be able to withdraw $20,000 from your account each year for 15 years after you retire. Y...

A: Deposit amount per year should be:-

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Find the dimensions of a rectangle with area 1,331 m2 whose perimeter is as small as possible. (If b...

A: Area of a rectangle is 1331 m2, whose perimeter is small as possible.

Q: Southern Traditions sold the home decor division of their company 8 years ago and immediately invest...

A: Topic =Algebra

Q: ſe^(3-z) sin(2+z) dz *

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Q: The annual net income of General Electric for the period 2009-2013 could be approximated by P(t) = -...

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Q: 6. dx Vx - 1

A: Given that I=∫161x2-1dxsolution :∫1x2-a2dx=logx+x2-a2+C∫161x2-1dx=logx+x2-116=log6+62-1-log1+12-1=lo...

Q: Polar equations find the eccentricity Identify the type of conic Write an equation of the directrix ...

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Q: (a) Determine all distinct values of vZA given that A = -1+ iv3.

A: Follow the procedure given below.

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D

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Q: Evaluate the given expression. d (1.7(x - |x|)] dx

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Q: Consider the exponential function f(x) = 58(0.36)x. What is the 1-unit percent change for f

A: We can find the 1-unit percent change for f as below.

Q: (S'34) 9uq Find vector, parametric, and symmetric equations of the line through (2,3,4) and is perpe...

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Q: The graph of the inequality is shown above. The right-hand side of the inequality symbol must be a n...

A: Given,

Q: lim -7 tan x X→(11r/2)

A: solution given below

Q: 1. Find the area of the region bounded by y = cos x and y=cos'x for 0sxsn/2. Note: Make sure you sho...

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Q: sin ( 5z) If y = (5x) then dy dx (Be sure to express your answer in terms of x)

A: To find derivative, we will first take logarithm on both sides and then differentiate it .

Q: Find the average value of the function f(x) = x³ – 2x +1 on the interval [-1, 3].

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Q: PROBLEM 3: f (x) = Vx + 2 at (-1,1)

A: slope of tangent of function y=f(x) at (a,b) is given as m=f'(a)=dydxx=a

Q: Use Midpoint approximation with n = 6 equal subintervals to approximate the following. 1 ln(x + 16...

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Q: 1. A piece of wire 36in. is cut into two parts, one of which is bent into the shape of an equilatera...

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Q: 3(-2х + 2)5 3. y=x²e5x – + sin? (– 3x) (x – x*)"

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Q: Evaluate the limits algebraically (using limit laws): Vt2 + 9 – 3 lim- t-0 х2 — 1 lim(2x² – 3x + 4),...

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Q: Find the derivatives of the following. 1. y= sin (e**+ 2x +5)

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Q: Question 5 Find the value of df/dx at x = f(a). f(x) = x - 3x + 5; a = 5 1.

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Q: 1) Explain how y |x+3-6 is translated from y = |x|.

A: 1. Firstly, y = |x| is translated to y = |x+3| by the transformation, f(x) ----> f(x+3) 

Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

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