Carry out the indicated operations. Express your results in rectangular form for those cases in which the trigonometric functions are readily evaluated without tables or a calculator. 6(cos 39° + i sin 39°) x 7(cos 21° + i sin 21°)

Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

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Q: 3) x² + y² + 16x+10y+80= 0 2 CXA6 2 5) x² + y² - 22x+26y +254 = 0

A: Here we have to find the standard form.

Q: A company's revenue from selling x units of an item is given as R = 1200x x². If sales are…

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Q: A thermometer reading is 60oF at 3:00AM and a Civil Engineering student takes it outside where the…

A: Given: At 3:00 AM, thermometer reading = 60°F The outside air temperature = 20°F At 3:10 AM,…

Q: Find f'(a) for f'(a) = f(x): = -9 √2 - 4x

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Q: Evaluate the iterated double integral 2.) S S ₁² x y e² dxdy 2 b.) ^ S = sinTy³ dydx JI-X² c.) ["…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: please show full solution thankyou, if it is not possible to solve all three please answer the…

Q: 2,2 5 (2x² – 3x)dx

A: We can solve the definite integration as below.

Q: Find an equation for the plane that is tangent to the surface z = In (x+y) at the point P(0,1,0).…

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Q: 2e^xdx-3e^ydy=0   Find y and y'.

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Q: [f(a)]² =

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Q: 2. Continuity. Find all points where the function is discontinuous and identify which condition(s)…

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Q: 1. Lim X→2 2x³+2x²+2x+6 x3+4x+3

A: Apply limits to find the solution

Q: 8. Find the antiderivative of (12x²)ex³ O 4e+³ 4eX +C O (4x³)e+³ +C O None of these Cannot be found

A: Let's find antiderivative of given function.

Q: Sx√x +Tdx

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Q: Show all the necessary figures and solutions to each of the following problems. 2. Find the area…

A: The given curves are: y=x3-6x2+8x and y=x2-4x. A rough sketch of the area of the region is:

Q: S dx √1-x² O-√1-z² sin-¹ z²+z+C O-√1-² sin¹z+z+C O None of the choices O-In 1-2² | sin¹2² +2+C -1…

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Q: 10) x² + y²-28x-6y + 189=0

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Q: Solve y' = 6xy - 2x, y(0) = 12 u(r) =

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

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Q: Using polar coordinates, evaluate the integral sin(x² + y²)dA where R is the region 1 ≤ x² + y² ≤…

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Q: {4x + 5y = -3 IS: 5x+4y=3} x=-3 and y=3 A O x=3 and y=-3 .BO x = -3 and y=-3.00 x=3 and y=3 DO Solve…

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Q: 1.Find dy/dx of the following: 5. y = Incose* tan x 6. y = ln(1-xe) 7. y=eta et 4. y= In x 8.…

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Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

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Q: Assume that y is a differentiable function of x such that y^2 = x^2 + 4xsecy. Find

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Using the given data we have: where x is the horizontal length and y is the length of the string.

Q: The general solution of y" - y = x²ex + 5

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Q: 6. Find 0²y of z = In(xy)

A: We can find the partial derivative as below.

Q: Use the given conditions to write an equation for the line in point-slope form. 5 4 Passing through…

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Q: Given the graph of y = f(x), sketch the graph of y=√√f(x).

A: We have to make graph of f(x).

Q: The equation of the line containing the points (5,6) and (3,4). y=x-140 y=x+2.80 y=x-2.00 y=x+1DO

A: Topic:- application of geometry  And equation of straight line

Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:- Solid S is bounded by the given surfaces. (1) Sketch S and label it with its…

Q: 5- prove that - for sin Ꮎ dᎾ cose Ꮎ dᎾ

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x+0+ 5

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Q: Find the derivative of the function at Po in the direction of A. 0 f(x,y,z) = xy + yz+zx,…

A: Given query is to find direction derivative.

Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1. ft x²…

A: The given integral is improper. An improper integral is a definite integral in which the integral is…

Q: Find L-1 (5² 7². 2s+3 s²+4s+13

A: To find the inverse laplace.L-12s+3s2+4s+13

Q: 2e^xdx-3e^ydy=0   Find y(x) and f(x,y)

A: Follow the procedure given below.

Q: et +ex -x²-2 Lim- x-0 sin²x-x²

A:

Q: MY NOTES ASK YOUR TEACHER The rate of change of the function f(x) = sin(x) + csc(x) is given by the…

A: Verify the identity

Q: An equation for the vertical line through (-3,3) is x=-3 صواب O خطأ

A: Given: An equation for the vertical line through (-3,3) is x=-3.

Q: Find all the second-order partial derivatives of the following function. w=3ye 4x²-y

A: Given :w=3ye4x2-y

Q: Calculate y'. y = ln(x ln x)

A: Given: y=lnxlnx

Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: As per the company's guidelines, we are supposed to answer only first question. Kindly repost the…

Q: 27 The x-intercept of the line x=6y +9 is (9,0) صواب ه خطأ

A:

Q: 7.Find: 으로 xy of of z = 2x35xyz

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Q: Show all the necessary figures and solutions to each of the following problems. 1+x² 1. Find the…

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Q: 1 Lim x→0* x0x 1 sin x

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Q: Find the derivative of f (x) = 5* In (x). Enclose arguments of functions, numerators, and…

A: Given; f(x)=5^x. ln(x)