Write a rational function whose graph is shown below. -1 + 2 0 -2- T 1 1 + 2 F L 3 + 1 (4,0) 4 1 -10 5 O). 6 -00 8 1 9 + 10 11

Q: Q14 Find the equation of the tangent line to the curve f(x) = 2x²(x − 3) at x = 1.

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Q: mine the average rate of change of f(x) = x³. - x over the interval 1 ≤x≤ 3.

A: We will find the required.

Q: Find the surface area of revolution about the 3 y-axis of y = 10x over the interval 4 0 < x < Enter…

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Q: 3. Select the sine wave so the parent function is f(x) = sin (x). Start with a and b both set to 1.…

A: We have to draw the graph of sine wave with the changing values of b.

Q: The number of hits on a certain website​ (in thousands) is approximated by f(x)=30e^0.171x​, where…

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Q: Find the derivative of the function. -7x³ - 6 6x² +7 f(x)=

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: A function y=f(x) is said to be increasing in the interval (a,b) if for every x∈(a,b), f'(x)&gt;0.…

Q: If f(x) = 3x5 - 10x³ +5, on what intervals is f"(x) > 0? Enter the (disjoint) interval(s) below…

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Q: The area of an ellipse with axes of length 2a and 2b is лab. The percent change in the area when a…

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Q: Given the geometric sequence: 19, Find an explicit formula for an. an Find a7 = 190 3 1900 9

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Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+5x2-25 The function does not exist when their denominator is zero. That is,…

Q: Solve the given differential equation. 3ydx - 3xdy + xdx = 2dx

A: 3ydx-3xdy+x9dx=2dxwe know ∫xndx=xn+1n+1+cd dx(yx)=xdy-ydxx2

Q: Find the derivate of the function F(x) = x²(x²-8) a) C 2 6b) f(x) = (5x²³²-7) (6x + 1) F'(x) = c) 5…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Use double integration to find the volume of the solid bounded by the cylinder x² + y² = 9 and the…

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Q: dy Find by implicit differentiation. dx x²14xy + y² = 14

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Q: Find a vector function, r(t), that represents the curve of intersection of the two surface the cone…

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Q: Evaluate the integral. cos y dy 2 sin y + 3 siny-4 S

A: To evaluate∫cosysin2y+3siny-28dy

Q: Answer the following questions. 1 A function f is given by f(x) = (x+1)|x+3| x+3 (a) Express f(x)…

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Q: Differentiate the function. f'(x) = f(x) = 250

A: f(x) = 250 We need to find f'(x)

Q: 7T T 6 4 expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (p,…

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Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

A: We have to find m'(-1) and n'(6) Where m(x)=f(x).g(x)        n(x)=g(x)/h(x)

Q: Differentiate. h'(0) = h(0) = 0² sin(0)

A: Derivative

Q: Does the series convergence or diverge 7 n²+5n+6 ∞

A: We have given a series  Let, y=∑n=0∞7n2+5n+6 Using factor form n2+5n+6=n2+2n+3n+6=nn+2+3n+2…

Q: Solve the differential equation. 2xy + 4x + (x² - 4) dy dx = 0 =

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Q: sin 20x sin 21x dx =

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Q: Find the area bounded by the curvey = x² + x +4, the x-axis, from x = 1 to x = 3. 16 14 12 10…

A: To find the area bounded by given curves.

Q: x ». Let g(t) be the function whose graph is given below. Let G(x) = g(t) dt, 0 ≤ x ≤ 5. Where does…

A: Given: Gx = ∫0xg(t)dt   , 0≤x≤5 To find: The point of maximum and minimum of G(x) and maximum ,…

Q: Find the derivative of the function. s = 8 t

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Q: 26. Distinguish between average and instantaneous rate of change, use an answer. appropriate example…

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Q: 3. Find the centroid (, y) of the region bounded by y = 2 cos(3x) and y = 2 sin(3x) from z = 0 to z…

A: Centroid is given by x¯=1A∫abxf1(x)-f2(x)dx and y¯=1A∫ab12f1(x)2-f2(x)2dx where A=∫abf1(x)-f2(x)dx

Q: A tepee has a circular floor with a diameter of 4 meters. What is the floor's circumference? typed…

A: Given :  A tepee has a circular floor with a diameter of 4 meters. Find :  What is the floor's…

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 4 sin…

A: By using the double integration to find the area of the plane region  enclosed by the curves. y=sin…

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 9…

A: We will use standard method to change it into polar coordinate.

Q: 4sqrt(2) was incorrect

A: Given:= f(x,y) = x3y2U = (-3,3) P= (-1,-2)   The directional derivative being negative means that…

Q: d Q10 Compute [3t²] (a) 3t² (b) 6t (c) 0 (d) 9t

A: We need to perform differentiation.

Q: Let a = (5, 1, 0) and b = (2, – 4, − 1).

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Q: 3. Evaluate the limit, if it exists: lim a. 0 b. 7 x² + x + 1 x+2 X²-2 c. 3.5 d. does not ex

A: H=limx→2x2+x+1x2-2

Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: For x approaching c from the left, x&lt;c  ⇒  x-c5&lt;0The denominator is a negative  approaching…

Q: Differentiate. y' = = y 7x | ex

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Q: In which limits below can we use L'Hospital's Rule?

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Q: Sketch-the-graphs-x = 4y - y² and x = y

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Q: - Find the inflection points of f(x) = 2x¹ + 10r³ — 18r² + 7. (Give your answers as a comma…

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Q: A volume is described as follows: 1. the base is the region bounded by y = e³.5x, y = 3.5x² + 0.9…

A: Given,             A volume is described as follows:             1. the base is the region bounded…

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.

Q: Evaluate the integral. 2 √√Z T ||||** SS (² cos ²0+z²)r de dr dz 000 2 √Z T S SS (² cos ²0 +2²)r de…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

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Q: A stone is thrown straight up from the roof of a 256-ft building. The distance (in feet) of the…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the 7+x…

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