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Q: 18) Find the first derivative of y = 1 -sin² x - 4

A: The given function is: y=14sin2x

Q: Find y as a function of t if 9y" +12y + 29y = 0,

A: 9y''+12y'+29y=0which condition y(2)=8, y'(2)=9To Find: y(t)

Q: (c) I 1²-7 dr

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Q: S 3/ 2 V x 3/2 -dx X +4

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Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: An airplane needs to head due north, but there is a wind blowing from the northwest at 80 km/hr. The…

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

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Q: 2. Consider the function: f(x) = ² +⁹ Step 1. Find the critical values of the function. Separate…

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Q: (a) Find the series' radius and interval of convergence. For what values of x does the series…

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Q: Consider the following equation. 6² - x = 36 Find any Intercepts. x-Intercept (x, y) = (…

A: Given equation of curve:- 6y2-x=36  Find:- X intercepts, y intercepts, symmetry and graph of curve

Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

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Q: Questions Identify the two regions that do not have a positive slope. What are they and what do they…

A: Given the graph distance time graph of a function. To find whether the slope is positive or…

Q: In the following problems you will find the limit of a function numerically (i.e. from a table).…

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Q: x - 12 Find the area bounded by y = x²1x56 (Round the answer to four decimal places.) x = 5, x = 6,…

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Q: Three atoms with atomic radii of 4.0, 5.0. and 6.7 are arranged as in the figure. Find the measure…

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Q: he acceleration function (in m/s2) and the initial velocity v(0) (in m/s) are given for a particle…

A: topic:- application of integration

Q: f(x) =4x^3 -24x^2 -60x a. find all values of x that correspond to horizontal tangent lines. b.…

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Q: ∞ Σ (tan ¹5k-tan-1 (5k-5)) k=1 ∞ The series Σ (tan k=1 -1 -1 5k - tan (5k- -5)) can be tested for…

A: Given :∑k=1∞tan-15k-tan-15k-5

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

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Q: x² + y² =a²

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Q: Moving to another question will save this response. Question 3 Choose the correct answer. (a) The…

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Q: 7. Evaluate the integral. (Use C for the constant of integration.) √x² - 25 x² - dx

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Q: 1. The point (-2, 5) lies on the circle whose center is at (-1,-3). Write the standard form of the…

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Q: The graph of the second derivative f"(x) is given below. On what interval(s) is the function f(x)…

A: NOTE: Refresh your page if you can't see any equations. . the function is concave up when  as we…

Q: A baseball is hit at an angle of with the horizontal and with an initial velocity of vo = 119 feet…

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Q: A truck with 22-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

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Q: Evaluate: 3 f(-x² + 4x-1)dx 1

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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: CHECKPOINT 3.14 √ √ Rewrite the integral evaluate the integral). x³ √25x² dx using the appropriate…

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Q: 15. Verify the identities: a) csc x -sin x = cos x • cotx b) tan²0 1 + sece 1 - cose cose

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Q: Solve the initial-value problem for x as a function of t. (2t³ − 2t² + t − 1) = 0 dx dt = 3, x(2) =

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Q: Find the solution of the given initial value problem 88y" +19y" + y = 0, y(0) = -5, y'(0) = 6, y"(0)…

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Q: Finals - Research All Formula in Integral Calculus.

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Q: 1 2. S- 9y²+64 dy

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Q: If f (x) = x² - x and g(x)=√x-2, what is (fog)(x) ? Simplify your answer. x²-x-2 /x² - 2 2-x-2 O…

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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: Evaluate the integral: dw J 2000 5 W8 W8

A: I have stated the used formulas in the solution

Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

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Q: 5) Evaluate the given expression without the aid of a calculator tan[arcsin( +1 x+ 6 --)]

A: We have to evaluate the given expression without the aid of a calculator.

Q: If 0 = sec (0) csc(0) = - = tan(0) cot (0) = = 7 -T, enter exact values for each function. 4 7000

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: We have to find the slope of the tangent line to the polar curve  r = cosθ3 at the point θ=π.

Q: M8 k=1 сos лk Let ak > 0 represent the magnitude of the terms of the given series. Identify and…

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Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: Find the area of the triangle. Round your answer to one decimal place. B = 111°,    C = 29°,    a =…

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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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: Without using a calculator, enter the sine and cosine of 240° using the reference angle. Decimals…

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Q: Use the sum-to-product formulas to find the exact value of the expression. 5-2 sin 3 2 sin in

A: We can find the answer as below using the sum to product formula.