1) tan x Find the derivative of y= = e

Q: 1. Use the substitution method to evaluate S₁² VAZ ²³ + 50 dx

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Q: If 0 = sin(0) = 1 3 cos(0) = .π₂ then Enter exact values. No decimals allowed!

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Q: ۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: In some manufacture company, which sales certain product, the price function p and the cost function…

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Q: (e) [ 4z. 4x · cos(2-3x)da

A: Topic:- application of integration

Q: 1.16 Let f(x) = lim_f(x) = H-4 2, 4x + 19, Calculate the following limits. Enter DNE if the limit…

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Q: 8. Find the local maximum and minimum values and saddle points of the function f(x,y)=2x + 4y +3x²…

A: This is a problem related to maxima and minima. Please follow the procedure given below.

Q: Find the x-coordinate of the centroid of the area bounded by y(x² - 9) = 1, y = 0, x = (Round the…

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Q: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 10 = 1 (No Response) dy dx

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Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: Here, the given series is: ∑k=0∞5(-1)kk! Let, ak=5(-1)kk!; k≥1

Q: This answer is w

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Q: Find the following derivatives. Express your answer in terms of the independent variables  ws and…

A: To find out ws, wt

Q: A packet of gummy candy contains four strawberry gums, two lime gums, two black currant gums, and…

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Q: It has been determined that the cost of producing a units of a certain item is 10x + 1585. The…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: MY NOTES ASK YOUR TEACHER Consider the equation below. (If an answer does not exist, enter DNE.)…

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Q: A circular plate with radius 9 m is submerged vertically in water as shown. Express the hydrostatic…

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Q: The area of the shaded rectangle in the figure is A = /h. The possible errors in the length and…

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Q: Evaluate the following integration.

A: Let Sinx=t

Q: Find the power series representation of the following function f(x) = ln(1+x)

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Q: W -5 -4 -3 -2 -1 3 2 1 2 13 4 5 The function graphed above is: Increasing on the interval(s)…

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Q: Q1 (a) Show that y= Ae²* + Be ³*, where A and B are constants, is the general solution of the…

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Q: Find the maximum and minimum values of the function y = 4 cos(0) + 11 sin(0) on the interval [0, 2x]…

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Q: 6. Find the value of -1 √2-x² =[+1/²/² (x² + y²) dy dx + ***** ++ [ ₁²2= ² ( 2² + 1²³) dy dx √2-1²…

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Q: Suppose f(x) is the total number of children that have a disease, and is the number of days since…

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Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t², y = 9+ 4t³,…

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Q: myopenmath.com/ Write an expression in factored form for the polynomial of least possible degree…

A: Solution :According to graph it has 4 roots.so least possible degree of 4.yx=kx+4x+1x-2x-4graph…

Q: Find the accumulated present value of an investment over a 8 year period if there is a continuous…

A: We have to find the accumulated present value of an investment.

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: When demonstrating that lim 2x + 5 = 7 with ε = 0.2, which of the following 8- x →1 values suffices?…

A: Use definition of limit of the function

Q: Evaluate using Reduction Formula 1. f cos7x dx 2. f sin³x dx cos x x dx n cos-1x sinx + 1 sin" x dx…

A: We use the given formula for sine to evaluate the given integral. But the given formula for sine is…

Q: 2. Solve the DE: -+secx(y-2sec³x+2 sec² x tan x) + y cotx=0 dx

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Q: Explain why S is not a basis for P₂. S = {1, 6x, -2 + x²,4x} O S is linearly dependent. OS does not…

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Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

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Q: Write an expression in factored form for the polynomial of least poss 5+ 3 W 1 2 3 4 5 -2+ -3 -5 -4…

A: We have to write the polynomial in factor form from the given graph of polynomial

Q: Graph the function. Plot all necessary asymptotes. For vertical asymptotes, make sure there are at…

A: To graph the function.

Q: Find the volume generated by revolving the area 1 bounded by y = " x³ + 16x² + 63x (Round the answer…

A: We need to find volume.

Q: Find y as a function of t if y(t) y" + 2y + 10y = 0, y(0) = 8, y'(0) = 9.

A: The given DE is: y''+2y'+10y=0 The auxiliary equation of the given DE is:…

Q: A hydraulic cylinder on an industrial machine pushes a steel block a distance of x feet (0 ≤ x ≤ 6),…

A: We have to find work done in 1st question and no of days in 2nd question.

Q: Use the figure to find the exact value of the following trigonometric function. tan (20) tan (20) =…

A: We can find tan(2 theta) by multiple trigonometric formula.

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: This question can be solved using the concept of graph of functions. We need to find solution set…

Q: 8 16. Given that sin x = [ k=0 (-1) k (2k + 1)!" 2k+1 x² for all x, find the Taylor series for f(x)…

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Q: Solve the initial value differential equation: (x² + 1) + 3xy = 3x where y(0) = 2

A: Given Differential equation,x2 + 1dydx + 3xy = 3xandy0 = 2

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 84°.…

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Q: It tan(x) sec²(x)dx (a) Evaluate the integration by setting du = sec²(x)dx; (b) Evaluate the…

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Q: It has been determined that the cost of producing x units of a certain item is 10x + 363. The demanu…

A: To find the revenue function, while cost and demand function of the product is given

Q: 5 4 3 2 | y = f(x) 2 lim x 2- lim 1 0 1 2 3 lim x →7+ 1 Enter each answer as a whole number (like…

A: 1) Given at exactly x=4, function value is 5, Therefore f(4)=5

Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 3).…

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Q: 9. Estimate the value of the convergent series 8 k=1 (-1)^² k! + 2k with an absolute error less than…

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Q: Find the total differential. w = eбy cos(4x) + z7 dw (No Response)

A: Explanation of the answer is as follows