Use the given point on the unit circle to find the values of the sine and cosine of t. (0.111, 0.994) 0.994 0.111 sin (t) =

Q: x2 + 1 dx (x – 6)(x – 5)2 |

A: To solve the integration of the integrand (x2+1)/(x-6)(x-5)2 , we use partial fraction form. 

Q: 15 A bridge has a parabolic span as shown, w? with equation d = - + 200 800 where d is the depth of ...

A: Given that parabolic spanwith equation d=-ω2800+200Solution:a. if function is even than ω is replace...

Q: Determine whether the series E " *" converge or diverge using alternating n+1 series test. o (-1)" D...

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Q: (a) y=-', X-4 (b) y=- X-5 (c) y=- 2x X-2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: For the object generated by the revolving the curve 1 x > 1 %3D around the x-axis do the following: ...

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Q: 27 1 2n + 1 n=1

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of...

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Q: 16. Suppose that over a region of space the electrical potential V is given by V(x, y, z) = 5x? – 3x...

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Q: 1 (x-4)°(x² +9)²

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Q: Find the extrema of the given function f(x, y) = 6 cos(x² - y²) subject to x² + y? = 1. (Use symboli...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: 8. A function f has the form f(x) = a+b ln x. If f(1) = 5 and f (e) = 7, find the values of a and b....

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Q: Find the minimum and maximum values of the function f(x, y, z) = 5x + 6y + 4z subject to the constra...

A: Here we have f(x,y,z)=5x+6y+4z subject to the constraint x2+6y2+6z2=1 Let g(x,y,z)=x2+6y2+6z2-1

Q: Find points P and Q on the parabola y = 3 – x so that the triangle ABC formed by the x-axis and the ...

A: This question is related to triangles and straight lines, we will solve it using given information. 

Q: he given cost and demand functions, find the production level that will maximize profit. (Round your...

A: Given query is to find the production level to maximize the profit.

Q: | cos(Tx)|+ x2 I a+1 + 5x + 137 (9) Find all a so that dr converges. You do not have to find the val...

A: We shall use the limit comparison test to answer this question.

Q: Find the minimum and maximum values of the function f(x, y, z) = x' - y – z8 subject to the constrai...

A: The given problem is solved below in detail.

Q: 3. Determine f(x) = x +x-2 is continuous on the given interval (-0,+0) (show graph and its table of ...

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Q: How did he get the value inside the circle? (C 579 Sin ($/4)

A: Gamma(z) •Gamma(1-z) =π/sinπz Replacing z by 1/4

Q: +00 S 13 In n n n=1 Determine whether the sequence converges, and if so find its limit. If the seque...

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Q: QUESTION 1 Suppose that z depends on variables r, s. and , andr, s, and I each depend on a variable ...

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Q: dz dz and as (b) Evaluate at the indicated s and t values. at 19. z = x'y, X = s - t, y = 2s + 4t; s...

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Q: 39. For each condition, find unit vectors å and b or explain why no such vectors exist. (a) |a+헤-0 (...

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Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

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Q: Identify and Sketch a) x= yea 4 2 2 b.) + 16

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Q: Evaluate the integral. V3 1 arctan dx

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Q: (x2-3)2 V4x+b simplify the first derivative. Show your work and justify your answer. 1-Determine the...

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Q: The accompanying figure shows angle 0 in standard position with its terminal side intersecting the u...

A: Given:  The accompanying figure shows angle θ in standard position with its terminal side intersecti...

Q: 4-What response would you give to a classmate who makes the statement, "I don't need to learn the pr...

A: We have to explain why product rule is important.

Q: 3. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.15, 0.10,...

A: This is a basic statistics problem

Q: Assume that 0 is an angle in standard position whose terminal side contains the point (-8,15). Find ...

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Q: 9. cos (21) di 10. 11. sin'x cos's de 12.

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Q: find the power series represen tation of the following function given be low and determ in e the rad...

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Q: Use any method to determine whether the series converge. (a) k=1 12k The series 1 (b) 2 12* + 1 k=1 ...

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Q: A r&r.'Find y as a function of t if 9y" – 24y' + 7y = 0, and y(5) = 3, y' (5) = 8.

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Q: (a) The curve with equation y² = x³ + 3x2 is called the Tschirnhausen cubic. Find an equation of the...

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Q: Find the inverse of the function. f(x)=x+5x+11

A: f(x)=x+5x+11f(x)=6x+11

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: Please refer to the image below

Q: c. the area of the parallelogram formed by the vectors a and b 3. Two forces of 40 N and 50 N act at...

A: The given data is: F1=40 NF2=50 Nθ=60∘  To determine the resultant and equilibrant of these forces.

Q: 4. y = sin(cos 3x) – sin x cos 3x |

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Q: Prove BCスツ+)B[スかリック =B(X1y)

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Q: For the cubic polynomial function f(x) = ax³ + bx? + cx + d, find a, b, c, and d so that 0 is a crit...

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Q: Use the difference an+1 - an to show that the given sequence {an} is strictly increasing or strictly...

A: given sequence n7n-6n=1∞

Q: dz and du ze at (u,v) = (36,4), u Let z=f(x,y), where x=u + v and y=. Find V dv given that : fy (36 ...

A: z=f(x,y), where x=u2+v2 and y=uv

Q: Consider the following sequence: 5" {an } = an+1 -to show that the given sequence {a,n} is strictly ...

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Q: A plane flying with a constant speed of 240 km/h passes over a ground radar station at an altitude o...

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Q: Find the minimum and maximum values of the function f(x, y, z) = x² – yº – z® subject to the constra...

A: We have to find the minimum and maximum values.

Q: Given the differential equation -2y" + 16y= 0 Determine the Characteristic Equation for the differen...

A: Topic:- differential equations

Q: Example 4 Video Example ) х2 +x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (x3 y'...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Use the right triangle and the given information to solve the triangle. a = 9, c= 10, find b, a, and...

A: To solve the triangle.