3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

Q: ) Below is a diagram of the dotted cube with edges of length 5. Suppose (5, 0,0), v = (0, 5, 0), and…

A: Given u=5,0,0v=0,5,0w=0,0,5

Q: Find the radius of convergence of the series 2" n=1 O 1/2 O 2 O1 O infinity

A: Explanation of the answer is as follows

Q: 9 Find the length of the major axis of the equation x 2 + 4y 2 = 4. 8 2 4

A: Standard equation of ellipse is x-h2a2+y-k2b2=1 with major axis is the horizontal axis.And length of…

Q: 5. Use the Laws of Logarithms to expand the expression. x + 2 3 (a) log (b) In y (c) log. x(x² + 4)

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Q: Find the volume of the solid that results when the region enclosed ... by the given curves is…

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Q: 2. Sin 2x dp X UIS 6.

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: 1. Each of the following limit expressions correspond to a limit definition of the derivative of a…

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Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (o, 0) to (0, -9) and (0, -9) to (5, -9) 589 2

A:

Q: ¤(x+4)~²dx

A: Here we have to find the given indefinite integrals.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: sin u cos v

A: This is a product to sum formula. This is a direct formula and here I m providing the formula onthe…

Q: 1. Consider the curve defined by 9x2 – 16 y² + 36x + 96 y– 252 = 0. a) Write the equation of the…

A: To solve the following problem

Q: The demand curve for a certain product is given by p(q) = 517- q. The supply curve is given by p(q)…

A: We have to find the consumer surpless.

Q: Find the length of the minor axis of the equation 4x 2 + 3y 2 - 32x + 12y + 64 = 0. 2√3 4 2√(11)

A: Ellipse

Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

A:

Q: An object with an initial position of x(0) = 5 has a velocity of v(t) = sin 2t. %3D %3D What is its…

A: Given query is to find the position of the object at π.

Q: Suppose that f is a continuous function such that | f(z) dz =-12. Find 2i (r") dz.

A:

Q: 3"x" Σ ,x € R, is: n! A primitive for the function f(x) = n=0 Choose an option: 3n+1n+1 (n+ 1)! n=0…

A: Solved below

Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: Find the area of the shaded region. V2 y = csc e cot è 0- 3x - 2

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Q: 8- Prove that lim,. -7 (5x – 32) = 3 using the formal definition of the limit. (choose e and 6 )

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Q: A bacteria culture is growing at a rate of r(t) = 8e0.6t thousand bacteria per hour after t hours.…

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Q: Admission to a baseball game is $3.00 for general admission amd $4.50 for reserved seats. The…

A: Let, x be the number of general admission tickets.  y(=1357-x) be the number of reserved tickets.

Q: What are the foci of this conic section?

A: We have to find the foci of the given hyperbola.

Q: In a recent survey, 52 said they had a dog, 64 said they had a cat and 25 both pets. How many…

A:

Q: I-y 1. Let f(1,y) Find: %3D I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1, y)

A: Given f(x,y)=x-yx+y+1   a) f(2,1)=2-12+1+1    f(2,1)=14   b) f(1,2)=1-21+2+1     f(1,2)=-14

Q: Find the area, A, of the region enclosed by the cardioid r = 8+8 cos 0. (А) 96 я (В) 48 я с) 52 я…

A: The area enclosed by the cardioid r=8+8cos θ is given by: A=12∫02πr2dθ=12∫02π(8+8cos θ)2dθ…

Q: Find the standard equation of the circle whose center is at (2, 2) and that passes through the point…

A: Given: Center=(2,2) Passes through the point (5,7)

Q: n? n5 +2 n=1 WI

A:

Q: 9. Find the sum. (a) 22 32 23 33 29 34 310 (b) 1 + 2/2 23/2 11 1/2 1.

A: b)1+1212+12+1232+.........

Q: Write the equation in general conic form of the circle that passes through the points (0,0), (0, 6),…

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Q: What is the difference between contanity? Unforly contanity ?

A: This question is from real analysis & our topic is uniform continuity .

Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

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Q: sec(tan(2x)) – 4 6. dx (cos(2x))? 8. / e*-* dx T e3x-e3x

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Q: 75 then compute the limit. 137 2| %3D Investigate the one sided limits (left and right) of f () =…

A: Given query is to find the limit.

Q: Fin volume of the object formed by rotating f(x)=1/x about the x-axis on the domain 1<x<infinity.…

A: We have to find the volume of the object.

Q: f (x) = (100° + Sin (–72)) 5- Calculate the derivative: -15

A: Given function  f(x)= ( 100x5 + sin(-7x))-15

Q: Draw the Root Locus curve for the equation s (s + 2) (s + 3) + K (s +1) = 0.

A: We have to draw the root locus curve.

Q: 3. Let f(r, y) =r sin ry. (a) fa(1,9) (b) fy(r, y)

A: Given: f(x,y)=xsinxy

Q: 2. Solve x? – 6ax+ 2 = 0, where a>1 is a constant. -

A:

Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: What is the length of a laptop computer centimeters or meters

A: We have to tell the unit of length of the laptop.

Q: Find the radius of convergence for: 5"z" Σ n!

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Q: x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

A:

Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: Compute ||A|| ||A|l, and ||A|l 2 8 A = 35 %3D

A: Given

Q: 2n n E(-1)"; n! n=1

A:

Q: Consider the following graph of an ellipse. y. 10 15 10 -5 10 15 -5 10 -15 -20 Find an equation for…

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Q: Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

A: