For sketching the function y = determine the following x-intercept y-intercept vertical asymptote (smaller value) vertical asymptote (higher value) sign of y when x is between 0 to 4 sign of y when x is between 4 to x- intercept [Choose ] [Choose ] [Choose ] [Choose ] [Choose ] [Choose ] e-In 2

Q: Find the partial derivative of z with respect to x z = (3x² + 1) cos(x²y). əz = -2x (3x² + 1)…

A: Given function z=(3x2+1)cos(x2y)

Q: The graph of f(t) is displayed below. Fill out the table for values of the accumulation function…

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Q: If we try to apply Rolle's Thorem to the function f(x) = 2x² – 20x – 5 on the interval [0, 14],…

A: Here, the given function is: f(x)=2x2-20x-5 and the interval given is [0,14].

Q: Determine the maximum and minimum value of the function f(x) = 3x3* - 1. O No max and min of -2 No…

A: This question can be solved using the concept of maxima and minima.

Q: c) f(x)=tan(cos².x) 11 COS X 1+ sin.x Dy=- b) y = 2

A: e)  f(x)=tan(cos2x)  f) y=cosx/(1+sinx) g) y=ex^2/x3 Repost the next part.

Q: If f'(a)=, what is the slope of the line tangent to the graph of y = f(x) at the point (a, f(a))? O…

A: Given: the curve, y=fx.f'a=12

Q: Determine all the values of x, 0≤x≤ 2, for which the slope of the tangent to f(x) = sin x tan x is…

A: We have to find solutions

Q: If y = (6x)¹/2, what is

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Q: 16 12 8 0 2

A: Given problem :- Consider the solid of revolution obtained by revolving about the x-axis the region…

Q: Problem 3. Evaluate each limit. If the limit is infinite, state whether it is -∞ or +∞. If the limit…

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Q: dy If y = x³ cos π, what is ? O 3r² - sin 7 -3x² sin T O 3x² cos T COS O-³ sin + 3x² cсos π

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Q: Evaluate ffz + 3y - x^2 ds where S is the portion of z=2-3y+x^2 that lies over the triangle in the…

A: To find the value of given fds over given region.

Q: Find f'(x) and approximate (to four decimal places) the value(s) of x where the graph of f has a…

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Q: Q1: Solve the following differential equation: 2x² y ; y(1) = 2π y+cos y

A: Explanation of the answer is as follows

Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

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Q: If all the letters in the word FUNCTIONS are used, determine the number of different 9 letter…

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Q: lim[1-sin x] 19. 0 3 lim(1 + sin x) 20. x→0

A: 19) limx-0[1-sinx]1/x 20) limx-0[1+sinx]3/x.

Q: 1. Find the volumes of the solids generated by revolving the regions bounded by the lines and curves…

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Q: (b) The graph of y-g(x) is shown. Draw the graph of y-g(2x). X

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Q: The half-life of chemical substance is approximately 9 years. Initially there is 80 grams of the…

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Q: The graph below is the function f(x) 2 -5 -4 -3 -2 -1 2 B 4 -3 4 -5+1 Find lim x 2 Find lim 2 2 Find…

A: from graph limx→2- f(x) =-3

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: We need to find convergence of series.

Q: 11. Describe as many equivalent conditions as possible for a given vector field F is a conservative…

A: Given : F→ is conservative.

Q: x" x² - y² lim (x,y) (0,0) x² + y² 2

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Q: Find the volumes of the solids generated by revolving the region about the given line (a) u = 3r.…

A: Let's find volume of solid(V).

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: From a group of 18 student representatives, 5 will be chosen to work on a fundraising committee. How…

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Q: ) Solve the Recurrence Relation Xk+2 +4Xk+1+3Xk = 3K where x₁ = 0, x₁ = 1

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Q: From a group of 12 student representatives, 5 will be chosen to work on a committee. How many…

A: From a group of 12 student representatives, 5 will be chosen to  work on a committee. To determine…

Q: Please solve the last 2 parts as well please from the above equation

A: This question can be solved using the concept of derivatives.

Q: In general, the sketching of the trace of any function can be facilitated by dividing the plot area…

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Q: use the washer method to find the volume of the solid of revolution generated by rotating the region…

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Q: I Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: A person x inches tall has a pulse rate of y beats per minute, as given approximately by -1/2 y=598x…

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Q: Let f'(x) = ax²+bx+c. Determine the values for a, b, and c so that f(x) has a local maximum at x =…

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Q: (X^1/2 + 6) (X^3/2 -32)

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Q: 1. For which values of a and b is the following system of equations inconsistent. x+2y3z = 4 3x - y…

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Q: > Question 6 Let u and v be functions of and let u' and v' denote the derivatives of u ar (a) Dz…

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Q: Find the volumes of the solids generated by revolving the region about the given line Use the…

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Q: In (x-2)² In sketching y determine the intersection of the curve and the horizontal asymptote. None…

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Q: 2. y (0) = Find the solution to the differential equation below satisfying the condition -2. x…

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Q: 3. find the derivative 513.5+412.52¹.7 lt Enter your answer

A: Taking derivative of the function with respect to t and using power rule of derivative gives the…

Q: 2. f(x) = 1 x²-1

A: We have f(x) =1x2-1

Q: lim x-1 2x³ +3 3x² + 1 - 3x + 2

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Q: f sin(x) sin(cos(x))dx

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Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

Q: Solve the differential equation. 7. (cosx cosy – cotx) dx – sinx siny dy = 0

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: find the derivative of

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Q: 6. cos x sinỗ xdx

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Q: Q2 (a) Sketch the following function of period 27. f(x)= |x| (-1 ≤ x <n) f(x + 2x) = f(x) (b)…

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