dy Consider the differential equation secy- + sin(x-y)=sin(x+y). dx Using separation of variables, which is the following is the resulting differential equation? A B D secy sim2y 2 sin2y -dy+dx=0 -dy-2cosxdx=0 secysinydy- - 2cosxdx=0 secydy2cosxdx=0

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A: Given inequality:- 1-x2322-3x2-2x-x31-x212-3x1-x23>0

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A: We have to find the volume of tank.

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A: See my dear ! cosw0=eiw0+e-iw02 We have 122-z-1eiw0+e-iw01-z-1eiw0+e-iw0-z-2 we have to show…

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Q: Calculus 9) The plot below shows a function g(t), which is the derivative of another function f(t).…

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A: The given expression 2Y+34X=Z3 we have to solve the expression for X,Y and Z

Q: Find the integral. (Use C for the constant of integration.) 9 J 49x2 dx

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Q: Use the graph to find the average rate of change. 5) Monthly Cellular Phone Charge in Dollars 80+…

A: To find average rate of change of given function through its graph.

Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

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Q: Hello, can you help with the below math exercises with the explanation please? Thanks a lot! 5/…

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Q: 4. Evaluate: lim(x² - 10x) x→6

A: This question can be solved by replacing x by 6 in the expression x2-10x.

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Q: - - Find the cross product (-2i - j + k) × (3i − j − k). Answer:

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Q: Find the area of the region enclosed by the curves y = 2 - x² and y = x. (a) (c) 9 2 54 (b) (d) 40 7…

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Q: E] Find the zeros of the function f(x) = 3x² - 6x + 2 F] Find the points of intersection of y = x² -…

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Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

A: To find the difference quotient of the given function.

Q: 7. Find all constants a, b that make f continuous at x = 2. (Use limits and definition of…

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Q: Consider the differential equation (xy + 3x − y − 3) dx = (xy − 2x + 4y − 8) dy. By separation of…

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Q: sin 3x cos 3x (cos 3x + 1)² dx 19) f 22) fex√3-4e2x dx 20) f ITV In x dx 21) f x√4 lnx-1 23)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: lim x → 0 cosx−1 -1 X

A: The given limit is: limx→0cosx-1x   As we know that; cos-θ=cosθ

Q: 5) Prove that : tanz 올n(를) i-z

A: tan-1z=i ln[(i+z)/(i-z)]/2.

Q: 2-x x² if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

A: we will find the limit.

Q: 43. YA 3 -1 y=2x L (3, 3) 3x

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Q: 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you are down to 10mg…

A: Given problem:- 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you…

Q: H(t) = -15 16 -15 - +² Sketch the graph of the function. 4-t - 10 - 10 -5 -5 H(t) 20 15 10 $5 H(t)…

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Q: f(x) = 5x³ - 15x² + x - 30 Select the correct statement/s: A. f(x) is strictly convex on (-1, ∞) B.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative here derivative of…

Q: Find the limit x-5 lim x→5 x²-25

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Q: 1. The graph of f "(x) is continuous and decreasing with an x-intercept at x = -3. Which of the…

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Q: C) g'(x) = 3x²; g'(1) = 3 D) g'(x) = 3x2 + 5; g'(1) = 8 mits to find the derivative function f' for…

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Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: The objective of the question is determine the amount after the given year end .

Q: Find the equation of tangent at x = In 5: ln 2x a) y = ²x + 1 e to :

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: C. Find the standard form of the equation of a circle given the following conditions. 11. Radius is…

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Q: C. Find the standard form of the equation of a circle given the following conditions. 10 10. Passes…

A: We can solve it by various method but i solved it as shown below.

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 11 lim #→-1+ 54 4 3 2 |-1 -2 N -3 4 -5- f(x)…

A: Topic- Limits and Continuity

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

A: given goaph of f'(x)

Q: C. Find the standard form of the equation of a circle given the following conditions. 12. Center at…

A: Given  Center of circle h, k=2, m point on the circle is 0, 1 Radius is equal to twice of the…

Q: Find the integral. (Use C for the constant of integration.) t (294 - t2)3/2 dt

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Q: (6) Set up but do not evaluate the integral representing the volume of the region (circular…

A: Given Ellipse, ax2+by2=r2That isby2=r2-ax2y2=1b(r2-ax2) ax2+by2=r2Divide r2 on both…

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Q: Find the derivative of the following, using first principles a) 2x2 b) x3 c) 8-x2

A: The given functions are a) 2x2b) x3c) 8-x2 Definition:     First principles to find derivative of fx…

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Make a table of values for the equation. 3x - y = 5 X -2 0 2 4 у

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Q: Differentiate. dy dx y = 2x³ - 5x² + 7x +4 ||

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Q: -3x1 + x2 + 12x3 = 50 6x1x2x3 = 3 6x1 + 9x2 + x3 = 40

A: Given data:- -3X1+X2+12X3=50     ----(1)6X1-X2-X3=3     ---(2)6X1+9X2+X3=40   -----(3)

Q: the options are left, up, right, down

A: Here we have to choose the correct option.