Write an equation for the function graphed below. The y intercept is at 4 (0, -1/1) 3 -7 -6 -5 -4 -3 -2 5 4 3 2 1 7 Use y as the output variable N 4 567

Q: Determine the area between the curves y= sin(x),y= x2 + 4,x= −1,and x= 2.

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Q: - 22. f(x) = 4 + 8x − 5x²

A: Given function, f(x) = 4 +8x - 5x2 To be found - the derivative of the function using the…

Q: Evaluate the following limits

A: Given Equation:- limx→∞ 3+2x+4x2x2

Q: (4) Use logarithmic differentiation to find dy dx y = (2x+5) (x+2)2 (5x-45

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Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

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Q: Use the properties of the derivative to find the following. 5,³k r(t) = 9ti (t1)j, u(t)= ti + t²j+ 3…

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Q: Compute the derivative of f(x) =x^(1/3) + 8  using the definition of derivative.

A: Solution:

Q: For the function y (ƒ−¹) '(11) = - ƒ(x) = x² − x − 5, x ≥ 0.5, find - - df dy 1 y=11

A: As per the company guildlines we can solve one question. Please understand.

Q: Give the three conditions that must be satisfied by a function to be continuous at a point.

A: A function whose graph is a continuous line or curve is known as continuous function. It does not…

Q: Residential power consumption has shown certain trends over recent years. Based on date reflecting…

A: Drawn below... On y axis we have r(t) On x axis we have t

Q: Given J(2) following compositions: a) (fog)(x) = (fog)(x) = b) (gof)(x) = (gof)(x) unsimplified AND…

A: Given; f(x)=5x-5 and g(x)=x2-4x+7.

Q: Which is the correct differential equation of the y = x + be²* + ce² after elimination of the…

A: The explanation of answer as follows :

Q: 2. Determine the arc length of the given curves a) x = 1/² + 1/ 4y luoda r b) y = ln (cos x) 1 ≤ y…

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Q: 4. Simplify without absolute value bars. 5 – t| for t> 5.

A: Given expression, 5-t      for t>5

Q: Find the reference angle for the given angles. If the angle is given in degrees, give the reference…

A: Given , θ= 0.3 radians First we have to convert it into degrees to check which quadrant it will…

Q: MATHia Calculating Circumference and Area of Circles Unit Overview Step-by-Step Sample Problem The…

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Q: Complete the following steps for the given functions. a. Use polynomial long division to find the…

A: Concept Used: Slant asymptote: Slant asymptote are formed when x is close to but is a slanted line,…

Q: Find the domain and range of the function graphed below. -7 -6 -5 -4 -3 Domain: Range: + T 1 2 3 4 5…

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Q: 16 5.1 (-x-1/2+5) dx. Enter your answer as an exact fraction if necessary. Evaluate

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Q: part B and C

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Q: "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root…

A: Here the given statement in symbolic form.

Q: The Surface Area (S) of a particle changes with its Weight (w) and Height (h) by: S = 0.007184w0.425…

A: See the details solution in below

Q: In Exercises 65–76, write each number in decimal notation without the use of exponents. 65. 3.8 x…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: -(-a) =

A: Given data:- The given expression is, --a=______?

Q: f(x) = x² + 1 3-x (√x if x ≤ 1 if 1 4

A: Given :fx=x2+1if x≤13-xif 1<x≤4xif x>4

Q: What is an algebraic expression? Give an example with your explanation.

A: The concept of algebraic expressions is the use of letters or alphabets to represent numbers without…

Q: The function f is given by f(x) = 0.12 -0.52³ -3.3x² +7.72-1.99. For how many positive values of b…

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Q: The commutative properties state that a + b = and ab =

A: Cumulative properties:- Both addition and multiplication come under the commutative property.…

Q: What is 3600 sexagesimal seconds in radian? OTT O 2TT O TT/2 O 180/TT

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Q: Identify and sketch the graph of x² z² + 25 36 - = 4y² using traces.

A: This is a quadratic surface that we need to identify. We will find the cross sections perpendicular…

Q: Find an equation of the plane passing through the three points given P = (9,3,6), Q = (10, 8, 13), R…

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Q: For Exercises 30–38, perform the indicated operations. 30. (4x – 3x + 7) + (-3x³ – 6x² + 2x) 31.…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the slope of the following curve at x = 4. yo x-2 The slope of the given curve at x = 4 is…

A: Topic- Slope of the curve at a point We are given , y=1x-2and we know that ddxxn=nxn-1and slope of…

Q: Simplify completely. Assume the variables represent positive values: V8p¹7

A: NOTE: Refresh your page if you can't see any equations. . use the radical rule

Q: Identify the inside function,  u = g(x),  and the outside function,  y = f(u). y = (x2 − 5x + 9)3…

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Q: QUESTION 7 For all sets A and B, (AXB)n(B×A) = Ø. O O False True

A: Given SET A and B

Q: Use the method of disks, washers, or shells to find the volume of the solid obtained by rotating the…

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Q: Let f(x) = 4√√T If g(x) is the graph of f(x) shifted up 2 units and right 5 units, write a formula…

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Q: For the function y a. Find f'(2) df dx = f-1(y) c. Find b. Find a formula for x = = = at x = 2. 1…

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Q: Given that f(x) = (x − 7)² and g(x) = 1 – 4x, find: a) (f + g)(3)= b) (f- g)(3)= c) (fg)(3)= d)…

A: The functions are given by fx = x-72gx = 1-4x To evaluate: The values of the following: a) f+g3b)…

Q: Integrate by part 1 ∞ xe -2x dx

A: We can solve this as follows:

Q: (a) The curve with equation y2 = x³ + 3x² is called the Tschirnhausen cubic. Find an equation of the…

A: We have to find the tangent equation and graph the function.

Q: simplify algebraic expression

A: Given data:- the given algebraic expression, 5(3x+4)-4

Q: y' = (1 − x²)²; y(15) = 149,645

A: differential equation

Q: 2x4 - 1.2²² 7x If F(x) = In (t² + 4) dt, what is F'(x)?

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Q: Find the union: (7, 8, 9, 10, 11} U {6, 8, 10, 12}.

A: To find the union of 7,8,9,10,11 ∪ 6,8,10,12 .

Q: Integrate by part S 1 xe-2x dx

A: we can solve the given integral.

Q: (a) On your solution sheet, find the local linearization of f(x) = e²-1 at =1/12. x = IN (b) on your…

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Q: Use an appropriate Pythagorean identity to find the Indicated value. Write your answer as a…

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Q: Suppose that z = f(x, y) and H = sin u cos v dz du Find 0 (0) ²²-2(01). y O af (31), ex/v and y=e" +…

A: option second is correct