Find the exact value of the sine of an angle 0 in standard position if the point (13,-84) is on its terminal side. Let 0° <0< 360°.

Q: Find the eguations of normal of the cupve v = 2x - v2at 12.0)

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Q: Solve the given differential equation. x?y" + xy' + 36y = 0 y(x) : ,x > 0

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Q: 5. The depth of water in a port is modelled by the function d(t) = pcosqt + 7.5, for 0 <t < 12, wher...

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Q: (cos n) Find the limit of the sequence an ||

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Q: Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis. f...

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Q: Directions: Use the definition of continulty to determine whether fis continuous at e. Identify the ...

A: given is a function.

Q: Choose the type of the conic section. O hyperbola O parabola

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Q: Let f be a differentiable function such that f (0) = 5.420 and f' (x) = vsin?x + x. What is the valu...

A: Let's find. 

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

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Q: Find मिव x) e -e e* + eX

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Q: 17. Use Implicit Differentiation to find an expression for dy/dx given ry +y = 2.

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Q: A drug trial is studying the efficacy of a new drug for thalassemia, a genetic disorder in which a p...

A: Given: ft=-t5+3t4-6t3-2t2+60t Note: Since the procedure is missing, we have used the standard proced...

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

A: We need to identify that the given series is convergent or divergent using the integral test.

Q: 4. At Grande Anse Beach the height of the water in metres is O onainTEbigoT modelled by the function...

A:

Q: (-3 if x 0 at x = 0 4. f(x) =

A: 4. f(x)=-3if x≤02xif x&gt;0 at x=05. f(x)=5x-2 at x=2

Q: Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits ...

A: P(x) = −(2x − 1)(x + 1)(x + 4)

Q: Directions: Write your convincing proof. The function f(x) 2/x takes on the value-2 at x--1 and it t...

A: Application for Intermediate value theorem.

Q: C. Solve the initial value problem: 2xydx + (2y² – 3x²)dy; y(0) = –1.

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Q: 18. Sketch a graph of a function that satisfies the following conditions • The domain of f(x) is [–5...

A: We draw the graph step by step . For the graph we use different colours which represents the various...

Q: Use the graph of f (x) = x below to find a number & such that x-1< 0.2 whenever 0 < |æ – 1| < d. %3D...

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Q: Solve the differential equation by variation of parameters. y" - y = cosh x y(x) II

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Q: Find the soIltion to the following equations: %3D iv)6=多はら

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Q: Let f be the function given by f (x) = sin(2x) cos(1 +x). What is the average value of fon the close...

A: Given function f(x)=sin(2x) cos(1+x)       ; 1≤x≤3 use the formula 2 sin A cos B = sin(A+B)+sin(A-B)

Q: 11. y x Sin x + (1 -x) Cos x Oa. x Sin x+ 2x Cos x b.x² Sin x ©* Sin x dxSin x+ 2 Sin x

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Q: A woman standing on a cliff is watching a motor boat as the boat approaches the shoreline directly b...

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Q: MY NOTES ASK YOU Find the limit. Use l'Hospital's Rule where appropriate. If there is a more element...

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Q: Political Fundraiser Apolitician raises funds by selling tickets to a dinner for $700, The politicia...

A: The profit that can be earned from each dinner sold: Profit = Ticket Price - Dinner price paid by th...

Q: 1 3 f (x) 4 9. 12 10 f' (x) 5 4 1 -6 Selected values of the twice-differentiable function f and its ...

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Q: A solid wooden object tumed on a lathe has a length of 50 cm and diameters (measured in cm) shown in...

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Q: Use the Integral Test to determine whether the infinite series is convergent. -2 n=1 Fill in the cor...

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Q: d/dx[(sin x)/(1 - 2cos x)] = (cos x - 2)/(1 - 2cos x)² %3D Select one: True O False d/dx(xe2X) = 2xe...

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Q: At what point is 9 the slope of the curve y = x3 - 3x??

A: topic - slope of the curve

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

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Q: Show a complete solution for each item. Determine whether each of the following functions is (a) con...

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Q: E. Show that the function e sin y equation satisfies Laplace's a²z a²z 0.

A: E) z=exSiny.

Q: Find an equation of the tangent line to the curve at the given point y = x³ – 3x + 1, (2,3)

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Q: 6. Evaluate the limits 10r – 2x4 + r3 + x² lim 4r1 + x² + x+1 5g2020 + 76 14r³ + 2 lim I-00 T2021 + ...

A: 1. limx→∞ 10x-2x4+x3+x24x4+x2+x+1

Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

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Q: Evaluate (go f)'(8) - given that: f (6) = 7. f'(6) f (7) = 8. f'(7) 6. f'(8) 6 f (8) 8, g'(6) 7 g(6)...

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Q: Se sin 3x dx Using integration by parts, if u = sin 3x and dv = e*dx , %3D what should be du and v? ...

A: We know that, The expression for the integration by parts: ∫udv=u·v-∫vdu   Given: I=∫exsin3xdx

Q: Let R be the three-dimensional region described by 0<r<1, 0<0<, 0<z<1, which corresponds to a portio...

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Q: 4 Suppose that f(x)dx = 7. Find f(x)dx for the following cases. -4 (a) f is odd (b) f is even (a) | ...

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Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P...

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Q: To test this series for convergence n4 + 3 n=1 1 where p= You could use the Limit Comparison Test, c...

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Q: e a) y"+ by 19y x² + 1

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Q: Find ??/?? using the appropriate Chain Rule w = ln y/x; x cos t; y = sin t

A: Use chain rule.

Q: Show that the function z = e* sin y satisfies Laplace's equation a²z a?z = 0 дх? ду?

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Q: 2. Let R(t) = }sin 4t î – bcos“(21) j + 2t Ř. Find the moving %3D trihedral of the curve of R(t) at ...

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Q: A type of sugar in the blood, also known as glucose, which is one of the major sources of energy, is...

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Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y + z, s...

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