How can you find the slope of a line which passes through two points with only the given information: the function, and the fact that points A and B are at consecutive lowest and highest points

Q: Evaluate √ (3₁ - 1x 1 (3x - 5)(x − 3) dx

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Q: Solve ABC subject to the given conditions. A 10.5°, C 97.1°, b=62 Part: 0/3 Part 1 of 3 B 11 O X $

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Q: The graphs of y = f(x) and y = g(x) are shown below. If g(x) = af (b(x − h)) + k determine he values…

A: The graphs of y=fx and y=gx has been shown above.Given that,  gx=afbx-h+k, we need to determine the…

Q: Evaluate the indefinite integral. 9x8 √ (20 + 1)² da = [

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Q: ว | 2 dx น x-9

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Q: Write an equation for the function graphed below. -6-3-43 g(x) = V 4 4 3 2 46 && वि

A: From the graph we can see that g(x) cuts x axis at two points

Q: Find an equation of the parabola with vertex (2,-4) and focus (2, -7). 2

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Q: Find the value of the constant c that makes the following function continuous on (-∞o, ∞o). if s €…

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Q: 6- 5 2- 1 1 2 3 Based on the graph above, estimate to one decimal place the average rate of change…

A: As we know  Average rate of change of function fx in interval a,b=fb-fab-a

Q: >Consider the function shown in the figure below. 46 95 44 43 42 41 ye x0 x1 x2 x3 x4 x5 x6 (a)…

A: This is a problem related to slope of the line. Please follow the procedure given below.

Q: Find the derivative. :(sinh(5r® +2 –5)) =

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Q: Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 9xy³. fxx (x, y) fxy (x, y)…

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Q: Let f(x, y) = (- (x + y))³. Then = 82f дхду ә3f дхдудх 83f дх2ду ||

A: Given, f(x,y)=-x+y5

Q: Consider the following points: A(1, 1, −2), B(−1, 2, 1) and C(1, 0, 1). Determine the parametric…

A: We have to find the line passing through the point B that is perpendicular to the vector AB→ &…

Q: a. Find the equation of the line tangent to the following curve at the given value of x. b. Use a…

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Q: a.) Solve the differential equation by separation of variables 3x+2y dy (0₁) e^y dx, ex dy ax (A₂)…

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Q: In a fabric shop, it takes a worker 45 seconds to complete a beading task on one shirt. How many…

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

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Q: y(x³-y)dx - x(x³+y)dy=0 by inspection

A: seperate variable

Q: -3 -110 lim g(x) = x→2- lim g(x) →2+ = lim g(x) = = x→2

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Q: Consider the function of two variables f(x, y) = ln(5x 6y) + e* cos(3y) (a) Compute the first-order…

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Q: d) √9x x √16x e) 5logx + 2logy - logx f) (3x + 7)²(3x + 7)6

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Q: A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing…

A: We have to find the solution to the differential equation that models the mixing process

Q: *15. F(r) = ber Find f''r

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Q: How do you find the equation of the line tangent to f(x)=2x2+5x-3 at the point (2, 15)

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Find the slope of the line at the point x = 2 for the function f(x) = x ^ 2 * (3x - 2) 12 16 40…

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Q: Given f (x) = x² and g (x) = 2x − 3 find g(f(x))

A: See this solution in below.

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: Consider the indefinite integral r4x³ + 3x² - 31x - 36 fA³ dx a = b = Then the integrand decomposes…

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Q: If z = (x + y)e and x = 7t and y = 1- t², find the following derivative using the chain rule. Enter…

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Q: (x + y + 1) dx + (2x + 2y + 1) dy = 0 Give the: a. homogeneity b. degree c. reducible…

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Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. 2 = 4.4 - x³y²…

A: To find the equation of the tangent plane to the surface determined by x4y4+z-35=0at x=3, y=4.

Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient If h = 0, then the…

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Q: Find an 32x-y=15. equation of the tangent line to the curve y=x+1 that is parallel to the line

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the given…

Q: 6) Draw the graph of a function f such that f (2) = 3, f (4) = 7, the function is decreasing on the…

A: Given 1. f2=3 2. f4=7 3. Decreasing in the interval -∞, 2 and 4, ∞ 4. Increasing on the interval 2,…

Q: Find the derivative of f(x) = a.) b.) c.) d.) ƒ'(x) = f'(x) = f'(x) = f'(x)= 116x³ (x4+8)² 3x4-5 x¹…

A: Quotient Rule of differentiation :  ddxuv = v.dudx-u.dvdxv2.

Q: Find the derivative of f(x) = (sin³2x + cos²3x) 6cos(2x)sin²(2x)-6cos(3x)sin²(3x) O-6cos…

A: Formulas we use: fgx'=f'gxg'x fxn'=nfxn-1f'(x) cos(ax)'=-asin(ax) sin(ax)'=acos(ax).

Q: d'y dx²* (a) y = 2x³ - 5x² + x d²y dx² (b) y = 7x² – 3x +8 d²y 14 x 3 dx² Find (c) y d²y dx² = 6x² -…

A: Given; a) y=2x3-5x2+x b) y=7x2-3x+8 c) y=(x+6)/x Repost the next part.

Q: Do NOT use the difference quotient, find the derivatives via formula. f(x)=2/x9

A: See this solution in below.

Q: The derivative of f(x)=(3x^1/2+x+x^−4)(5x^−2/3−6x^5/7) is f′(x)=

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Q: Find the derivative of h(x) = O O a.) h'(x)= b.) c.) d.) ܝܕܝ h'(x) = h'(x) = h'(x)= 2 Waiting for…

A: Solve for the derivative

Q: Use the Exact DE method to find the GS of (x + yey)y' = 1

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Q: Solve AABC subject to the given conditions, if possible. Round the measures of the angles (in…

A: By law of cosines c2=a2+b2-2ab cos (C)or cosC=a2+b2-c22ab

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. For a…

A: Given, B(t)=3.0+0.25sin2πt5.2

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Topic = Polynomial

Q: Given the following functions, compute the composition (fog)(1). f(z)-3x+6 g(z)-52-7 Simplify your…

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Q: Check here for instructional material to complete this problem. Find the approximate slope of the…

A: Given query is to find the slope of the line and determine whether it's increasing or decreasing.

Q: Make a sign diagram for the derivative of the rational function. 20x - 60 4x + 12 F(x)= =…

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Q: Information is given about AABC. Determine if the information gives one triangle, two triangles, or…

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