If sin a = 0.683 and sin ß= 0.522 with both angles' terminal rays in Quadrant-I, find the values of (a) cos(a - b) = (b) sin (ß-a)=

Q: 2. Evaluate (5+5√3i) using DeMoivre's theorem. Write your answer in rectangular form. Show all your…

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Q: Consider f(x)=√4x +3. • Use sqrt for the square root. a. Compute: f(a) = b. Compute and simplify: c.…

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Q: Find the unit tangent vector to the curve defined by 3π r(t) = (4 cos(t), 4 sin(t), 5 sin²(t)) at t…

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = ln(2x + 3y +6z). F(x, y, z) = 2 Check…

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Q: Calculate the value of a that will make the function below continuous. Answer: 0 TO If it is not an…

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Q: In the following exercises, use the Fundamental Theorem of Calculus, Part 1, to find each…

A: The solution is shown in step-2

Q: An object's velocity after t seconds is V(t) = 36 - 2t feet per second. Enter an integer or a…

A: The given velocity function is

Q: Determine wether the following series converge or diverge. State and explain the test you used to…

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Q: 16. Solve. a) log (²x) = Text 2 b) log4(x²7x − 18) - log4(x + 2) = 3

A: a) log3⁡(2xx−7)=2

Q: Evaluate the definite integral f 6 sin(x) dx Enter an integer or a fraction. DO NOT enter decimals.…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y)=xy-y², Po(10,7), A=-1+3j…

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Q: For the relation x²y - y² = 1 - x, find its first derivative at the point where x = 1 and y = 0.…

A: For the relation , to find its first derivative at the point where  .

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: aulo TesL LO Identify ak Since lim 00 k→ ∞ 9ke-k Evaluate the following limit. ak+1 ak k=1 lim k→∞…

A: THE RATIO TEST :

Q: Please show your answer to at least 4 decimal places. Determine the gradient of f(x, y) = e³ª…

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Q: The polynomial function f(x) = -x³-x² + 4x +9 has one positive zero. Between what integers does this…

A: To determine the integers between which a positive real zero of the polynomial  lies.Note: Since the…

Q: Jse Green's Theorem to evaluate • f F - dř, where F(x, y) = ( −6xy, y³ − 3) and C is the rectangle…

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,3,1) on the surface…

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Q: The function shown on the graph above, has the formula f(x) Prove algebraically or numerically that…

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Q: s it correct that the equation is the one showed in graph (y=-0.1489x2)? Please explain to me data…

A: The given graph is shown: Data points: (x and y coordinates)

Q: The short-term demand for crude oil in Country A in 2008 can be approximated by q = f(p) =…

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Q: Sketch the region bounded by the graphs of the equations. Find the area of the region. (Round your…

A: The region is bounded by .The aim is to sketch the region and find its area.

Q: Find equations of the tangents to the curve x = 9t² + 9, y = 6t³ + 3 that pass through the point…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Evaluate the following. [(x-3y + 2) ds S: z = 15 - 4x + 6y, 0 ≤ x ≤ 1,0 ≤ y ≤ 3

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Q: In this problem you will be analyzing a system that consists of a mass and a spring. The mass is…

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Q: ast 4 places. Determine the gradient of f(x, y) = e³* sin(2y) at (x, y) = (-3,-2). =e Vf(-3,-2) = (₁…

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Q: ess the limit as a definite integral on the given interval. χρ (x)² + 5 lim Π-100 n | = 1 -Δx, [1,…

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Q: A car is traveling along a flat road. The position function is given by a(t) = sin(3t). a.)…

A: According to bartleby guidelines , we supposed to the first three subparts of multiple subparts…

Q: 3 Evaluate the integral 1 = = = 3 dz -

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Find √ √ cos (x² + y²)dA where D = {(x, y) | 25 ≤ x² + y² ≤ 64} . D Round your answer to four…

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Q: Find the limit. 8xy lim (x,y) →(0,0) x² + y² The limit is The limit does not exist.

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Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A: The given total profit function is .The aim is to find the maximum total profit.

Q: 4.) Evaluate the following integrals: a.) cos²5xdx

A: I=∫cos2⁡(5x)dx

Q: 5 17. The marginal profit function for a company can be modeled by P'(x) = - 5x+3 thousand units…

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Q: Find the area of the parallelogram shown below I 10+ 0

A: Here we have, h=2 (Height of the Parallelogram)b=8 (Base of the Parallelogram)

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Evaluate the definite integrals using the graph of f(z) below. (-) 6² 16 de b) √₂ ²1 (2) f(x) dx =…

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Q: (1) f (2) d I dr.

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Is it possible to to sketch a function that is differentiable, but not continuous at x=-3?…

A: 1)Is it possible to to sketch a function that is differentiable, but not continuous at x=-3?…

Q: Let f(x, y) = x² + 2yª + 40xy. List the critical points: The critical point at the origin is a…

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Q: Suppose the demand for a certain item is given by D(p)= -3p²-7p+800, where p represents the price of…

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.)…

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Q: If cos a = 0.439 and sin ß= 0.944 with both angles' terminal rays in Quadrant-I, find the values (a)…

A: Given that  and both angle's terminal rays in Quadrant I

Q: Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of…

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Q: Find all values x = a where the function is discontinuous. For each value of x, give the limit of…

A: If a function f is undefined at a point then the f  is discontinuous at that point.

Q: Evaluate (x+y)ds, C: x = 3t, y=-3t+3, for -1 ≤t≤ 2. Check Answer

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Q: is there a way to solve this without the disk method?

A: A region is bounded by the curves,The figure is shown as,

Q: Calculate: lim Answer: X-3 x+3+ x²-9.x+14 Check

A: From the given question they are asking us to calculate the right hand limit of the functionRight…