If f(x) = 2sin (3x), the formula to compress the graph vertically by factor 4 followed by a reflection across the r-axis is:

Q: Suppose (P. O) is the point on the graph of y =Vx closest to (1. 0) - What is the value of P+ 1-

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Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

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Q: Make an equation for f(x) and g(x) - f(x) has the y-intercept of 3 - g(x) has one reflection over…

A: Given

Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Given the function g(x) = 2^x , along with the tangent line to the graph at x = 0, may you help me…

A: g(x)=2x  , Tangent line at x=0 Apply definition of derivative g'(x)=limh-&gt;0.01g(x+h)-g(x)hReplace…

Q: Solve for the root (5 decimal places) of the following equations using: A.) Incremental Search…

A: Given fx=x-12+lnx2-ex ,x0=-0.6 and ∆x=0.1 x fx   -0.6 0.9895 &gt;0 -0.5 0.2572 &gt;0 -0.4…

Q: For what values of x does the graph of f(x)=2x^3+15x^2−36x−5 have a horizontal tangent line?

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Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

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Q: Find the length y=(x+2)^3/2 for x in the range 0≤x≤2.

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Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

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Q: Find two explicit functions by solving the equation for y in terms of x, (b) sketch the graph of the…

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Q: The graph of f (x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

A: This question is based on transformation of graph.

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x2 – 8x + 4 has a tangent…

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Q: - Find all k so that the graph of y = Er2 kx - + 9 is tangent to the x-axis. 4

A: We have to find all values of k such that the graph of this function will have tangent as x axis.…

Q: Find the area of a triangle bounded by the y axis, the line f(x)=9−2/5x, and the line perpendicular…

A: fx=9-25x Comparing with fx=mx+c, we get m=slope=-25c=y-intercept=9 Therefore the slope of a line…

Q: Describe how you could use the graph of f(x) = 2" to obtain a decimal approximation for V2.

A: y=2x

Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: where y1 = e* is one of the functions in the fundamental solution set. - %3D xy" + (2-2x)y' +(x- 2)y…

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Q: Find the local and absolute extremum for the functions over their domain: 5. f(x) = vx2 + 8x + 20

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Q: The linear functions m(x) and n(x) are perpendicular to each other and intersect on the x-axis. If…

A: Two lines with slope m1 and m2 are perpendicular to each other if m1m2=-1 Given: m(x)=4x+48 Let the…

Q: Find the slope of the line tangent to h(x) = f(x)g(x) at x = 6, given that the line tangent to the…

A: We have to find

Q: with equation -x+3, x -1 f(x) = %3D What is the behavior of f(x) as x gets closer and closer to -1…

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Q: Among the solutions of the 3rd order linear ODE y"-y"+y'-y = 8et, only one function satisfies lim y…

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Q: If the x-intercepts on the graph of y= f (x) are integral, what are the x-intercepts of the graph of…

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Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: Find the function f whose graph has slope 2x2 + 4 df dx and which passes through the point (1, 1).

A: Given: The slope of the function is, dfdx=2x2+4x

Q: Find f(4) using forward, backward and central difference of: (3 – 2x)2 f(x) = %3D x2 Step size = 02

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Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: For what value(s) of x does the graph of f(x) = 4x3 - 6x2 - 144x - 24, have a horizontal tangent?

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Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

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Q: Find an equation of the line tangent to the graph off(x) at the point (5, 9):f(x) =e^(x^2−3x−10)+ 8

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Q: Suppose the graphs of f(X)=x^2 and g(x)=2x^2 are drawn on a coordinate grid where the unit of…

A: Given, graphs  f(x)=x2g(x)=2x2 The graphs of the functions are as follows:

Q: 2. Find an equation of the form f(x) =b.a +c that has the horizontal asymptotes at y = 350,…

A: y=b is said to be a horizontal asymptote of a curve y=f(x) if as x tends to infinity (or -…

Q: given that the graph of f(x) passes through the point (10,9) and the slope of its tangent line…

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Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: A company has found that its rate of expenditure​ (in hundreds of​ dollars) on a certain type of job…

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Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: Find the point on the graph of f(x) = Vx that is closest to the point (5, 0). (x, y) =

A: Use distance between point concept and then differentiate

Q: For an equation like r 0, a root exists atx 0. The Bisection Method cannot be adopted to solve this…

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Q: Why does Newton's method fail at all of these points in the graph except for x=5, especially when…

A: Since the graph cut at two point. at x=2, x=6 and graph never touch the  negative x-axis. and…

Q: Suppose that the graph of x = f(y) lies to the left of the y-axis. Is f(y) dy positive or negative?

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Q: For what value(s) of x does the graph of f(x) = 8x³ – 84x² + 288x – 48 %3D have a horizontal…

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Q: fla)= 9 (x=4)° +2 +2

A: Given fx=9x-42+2.

Q: During an iteration of bisection method for solving f(x) = 0, we got f(2) = -6, f(-1) = 2 and f(-4)…

A: The equation in the form f(x)=0 is called a transcendental equation. Geometrically the solution of…

Q: Find an equation of the line tangent to the graph of f(x) at the point (5,9): f(x) = e-3x-1o + 8

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Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

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Q: Sketch the graph of y = (x – 3)*(x + 1)³(x - 1) by finding its intercepts and its limits as x → o…

A: topic - functions

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.