For the function, find the point(s) on the graph at which the tangent line has slope 2. 1 y=x²-3x² +7x+16

Q: Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

A: First I have written the Ratio test for Convergences of a series and show that , given series is…

Q: x dx 2)√√√27+6x-x²

A: Given, ∫ x27+6x-x2dx

Q: Using the Midpoint Method, calculate y(0.4) for the following: y' = -5x¹y², y (0) = 1, h = 0.2 1 The…

A: Solution is here

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Q: dx √x²=2x+17 a) sinh xe ta 4 bì ninh XH + C 4 c) minh? X-1 2 d) none of the above

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Q: Find an antiderivative for each function when C = 0. a. 1 b. 2√x 1 c. ²{√x + 7/7 C. a. The…

A: Formula ∫ xn dx=(x(n+1))/(n+1) +c

Q: termine whether the function has a vertical asymptote or a removable discontinuity at x = -3. Graph…

A: Here is the solution:

Q: Suppose you have just poured a cup of freshly brewed coffee with temperature 93°C in a room where…

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Q: 1. g(x) = Sin 39 COS 32 5 ㅈ

A: The objective is to differentiate the equation.

Q: find the area.  x^2=8y and x=y+1

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Q: Q1/ Find -1 s² (s+1)(S-1)²

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Q: Use the graph of f to evaluate the following: 6 + f(x) 5 X 4 رها 3 N 1 1 2 4 5 The average rate of…

A: Equation of slope:  Slope =(y2-y1)/(x2-x1) The average change of the function over the given time…

Q: Use the graph below to determine that slope of the secant line on f(x) from x-1 to x-3. 5 4 3 2 y =…

A: use the graph for finding the slope of the secant line.

Q: 1. f(x¹ + x³)dx π

A: The objective is to find the integration.

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Q: We wish to find the solution to dy = 26y that passes through the point (x, y) = (1, 3).

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Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

A: The capacities at which U.S. nuclear power plants are working are shown in the table.ft models the…

Q: 5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ²…

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Q: B) Show that V=367 is the volume of a sphere of radius 3 by using spherical coordinates.

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Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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Q: * Parallel lines have the slope (m1x m2 )= -1 true O O False

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Q: xy lim (x,y)->(0,0) x² + y²

A: We need to write down that the limit exist or not.

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-2=-2

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Q: b) Maximize the volume of this rectangular box. c) What are the dimensions & volume of this largest…

A: Solved below.

Q: C

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Q: describe now you can tell from the equation where to graph the branches of this hyperbola & write…

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Q: Solve the differential equation (24xy +24y²) + (8x² +24xy)y' = 0 using the integrating factor u(x,…

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Q: dy Find by implicit differentiation. Then find the slope of the graph at the given point. dx 3x³y =…

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Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

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Q: Find the solution of the given initial value problem. T ty' + 2y = sint, y = 3, t > 0 2 Y ||

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: We can solve the differential equation.

Q: x-2x +x= 15; x (0) = 7, x (0) = -16 hand written plz

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Q: 8. Find the area bounded by y=ex, y=x² and x=2. a. 3.1 u² b. 4.1 u² c. 5.1 u² d. 6.1 u²

A: Here we have to find the area bounded by the given curves.

Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: Find the area of the surface generated when the given curve is revolved about the y-axis 1 y=(8x)…

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Q: Determine the law limit applied in solving lim 3 = 3. t-1 A. Limit of an identity B. Limit of a root…

A: Solution ) limit of a constant  limx→a b = b  limit of x tending to any value is value of the…

Q: Use any method to find the derivative of the following (the results do not need to be simplified):…

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Q: Show that the series n=0 xn cos(nx) x² +n³ + 1 defines a differentiable function g(x) for x in [-1,…

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Q: Q5) Find dw/dt at the given value foe the following functions 2) w = 2ve* - lnz.x = ln(t+1), v =…

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Q: Write the given system in the form x' = P(t)x+ f(t). x' = 4x+6y + 8 et y' = 8x-y-t¹ D-AD-41 C

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Q: Q6) Test the convergence of the following n! 2) En=1 (2n+1)!

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Q: Find for THREE of the following functions: dy dx 1-y)+In(cos(x)) + √ 2-y=2(cos(x))

A: To find dydx:

Q: B)Convert 20= tan¹r to cartesian.

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Q: (b) y = e, y = ²x, x=0, x= ln 2 1 (c) x = =, x = 0, y = 1, y = e Y (d) y = 5x - x², y = x (e) y =…

A: Using vertical strip

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 4√√x-8 lim X→4 x-4…

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Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: To find whether given differential equations are which one of the following in the given options.

Q: Show that |7₁7₂|=|z₁||2₂|

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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