COS U = sin(u) = 12/13 cos(u) 5/13 sin(u-): = -5/13 -cos(u-) = -12/13 5 13 and sin u is negative. Here are some small variations on the previous problems: sin(u) = -12/13

Q: Find the length of the curve z= =t³6t², y=t³ +6t2, on the interval 0 < t < 1.

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Given query is urgent find sequence converges or diverges.

Q: d. 49x² +9y2=441

A: Take 441 to the left hand side and then go ahead.

Q: Use the Maclaurin series for e* to find a series representation of the hyperbolic sine (sinh x)…

A: The answer is in step 2.

Q: Sketch an excellent graph for the following equatic a) r = 2 cos(0) + 1 3π/4 TT/2 21 31 π/4

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Q: If u=sec 0, then A B C D 1 √2 du √2 S 1 UL u√u du 0 S² Ju du √ 1 √2 du S√₂ 1 u√u sec 0 de=

A: Given query is to find resulting integral.

Q: 3 4. sec 0 = Determine: a. sin 0 and 0≤0 < 2л, b. tan 0 c. Possible values of

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Q: Which of the following statements is/are TRUE? I. If f is an even function, then [ f(x) dx=2ff(x)…

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Q: Find BA (Use Work) A = 1 2 0 4 −1 1 1 0 1 B =  1 2 −4 4 1 0 0 −2 1

A: Given:Two matrices are given byA=1204-11101B=12-44100-21To Find: To find BA.

Q: Find f'(1) if f(x) = Answer: In 210 h(x) where h(1) = 2 and h'(1) = 1.

A: Given f( x ) = ln x10h( x )f'( 1 ) = ? h( 1 ) = 2 h'( 1 ) = 1

Q: lim h-+0 (sin h)/h- cos h h²

A: Evaluate the limit using Maclaurin series limh→0sinh/h-coshh2=?

Q: Present and work out a problem that would be best solved using the disk/washer method.

A: Disk/Washer method:  This method is used to evaluate the volume of the solid obtained by the…

Q: Given f(x, y) = 6x¹ − 6xy² + 4y³, find fiz(x, y) = fzy (x, y) = fyy (x, y) = fyr (x, y) =

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Q: Use an appropriate Taylor series to evaluate sin(3x) - 3x + 2x³ x3 lim x →0 1. limit= 2. limit 3.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The magnitude of the rate of decay of a radioactive material is 0.71 times the amount of the…

A: The magnitude of the rate of decay of a material is 0.71 times the amount of the material present.…

Q: Find a Cartesian equation for the curve. r = 5 sec (8) Identify the curve. circle hyperbola O…

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Q: Find the nth-derivative, f(n), of f(x) e2x+4. 1. f(n)(x) = 2. f(n)(x) = 3. f(n) (x) = 2ne2x+4 1 - n!…

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Q: f(x) e (2x+4) = 9 (i) find the third derivative, f"", of f.

A: Solution ⇒    Given function is f(x) =e2x+4    a) third derivative of given function,…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per day…

A:

Q: 1. Find a, b, c, and d such that the curve y = ax³ + bx² + cx + d has its tangent line at (1, 1) and…

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Q: If sin(A) = 0.39 and cos(A) < 0, determine: cos(A) = sin(2A) = cos(2A) = tan(2A) = The quadrant for…

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Q: 7. Find the general solution of the given equation. y" + 2y + 2y = 0.

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Q: Find the area enclosed by the ellipse z=3 cost, y=2 sint, 0≤t≤ 2m.

A: We need to find area enclosed.

Q: 165. Use Green's theorem to evaluate S (y² + x³) dx + x^dy, where C+ is the perimeter of square [0,…

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Q: A mall has a theater that seats 646 people and charges between $6 and $14 per ticket. When tickets…

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Q: Evaluate the definite integral: Check ₁²=C

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Q: IV. Solve the following Bernoulli's differential equations by group. Show your complete and…

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Q: Find a function f(x) such that ƒ'(x) f(x) = – 6x² – 1 and ƒ(0) = 5

A:

Q: For u = 6 . y4 . 25, ca ენკ მთმy2მ23 calculate ენკ მმ3/2d/3

A: Given u = x6.y4.z5

Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). F(x, y, z) = sin(x)…

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Q: 이 y = cos x ㅠ 2 37/2

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Q: valuate the line integral Sc F • dr, where C is given by the vector function r(t). F(x, y) = xyi +…

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Q: Determine the type of DE: x³ydx + (3x*- y³) dy=0 Homogeneous Bernoulli's equation Both Homogeneous…

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Q: For x > 0, the function F is defined by Find F'(x): - Lo In(x) F(x) = F'(x) = (³+3) dy

A: dxndx=nxn-1d dx(constant0=0f(x)=∫lnx2(y3+3y)dydlnxdx=1xlnxn=nlnx

Q: Solve the following DE: -y dx + (x+√xy) dy=0

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Q: Question 11 Textbook 70- 60 50 40 30- 20 10 Question Help: Video ( > -19 10 20 30 40 50 60 Miguel is…

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Q: Write the improper integral in terms of x that will determine the convergence or divergence of the…

A: Solve the following

Q: lim, 0 sinx − x 3

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = ex…

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Q: m of linear equations x +y = 3z = 2 2x + 3y + 2 = 0 3x + 4y = 2 =1 using 23 the

A:

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

A: concept →if a function is continuous at x = a then limx→a- f( x) = limx→a f( x ) = limx→a+ f( x )

Q: If f(-1) = 4 and f'(x) ≤ 5 for all x, what is the largest possible value of f(6)?

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Q: Given f(x, y) = = − 5x¹ + x²y³ - y, find fa (x, y) = fy(x, y) = fxx (x, y) = fay(x, y) = fyr (x, y)…

A: Given  fx, y = -5x4+x2y3-y6

Q: Find the volume of the solid in R3R3 bounded by y=x2y=x2, x=y2x=y2, z=x+y+15z=x+y+15, and z=0z=0

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Q: Find the first few terms of the Taylor series centered at x = 0 to evaluate: cos a 1 x² lim z-0

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Q: Use the graphing guidelines to make a complete graph of f. 2 f(x) = x+10 Choose the correct graph…

A: Topic - Graph of a function We are given , f(x)=x2x+10

Q: S ydy 4 +√/y²-9 2 Vy

A: Given integral:- ∫ydyy2-94

Q: Suppose A is not diagonalizable. If the characteristic equation of A is: -λ +2^² - 2³ = 0 then dim…

A: Given :-  A is not diagonalizable. And Characterstics equation.  Topic :- Matrix.

Q: Find the value of y for the given differential equation if the value of the arbitrary constants is…

A: Given :  y" -2y' +1 = (x+1) e2x      We can solve this differential equation with the help of online…

Q: Suppose a heated object is placed in a room and the temperature of the object (in degrees Celsius)…

A: