If cos (0) = - and tan (0) < 0, find all other trigonometric functions of 0.

Q: Solve the seperable differential equation for. dy 1+ x ;x > 0 xy5 dx Use the following initial condi...

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Q: 1. Solve the following Exact/Inexact Differential Equation. If it is inexact, then solve it by findi...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

Q: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

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Q: Coach Kent brings 3 quarts of sports drink to soccer practice. He gives the same amount of the drink...

A: Given that the coach brings a total of 3 quarts of the sports drink.

Q: cotx dx In|csc x| cSC

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Q: Which of the following sets of vectors in RS are linearly dependent? Note. Mark all your choices. O ...

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Q: Solve the seperable differential equation 2yy' = x. Use the following initial condition: y(2) = 2. E...

A: We can solve the differential equation as below

Q: 4. f(t) = V3 – 2t , find f""(t) %3D

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Q: Graph the following of linear functions based on the method indicated. x + 3y = 9 (table of values)

A: Given problem:- Graph the following of linear functions based on the method indicated. x + 3y = 9 (t...

Q: Answer: 0 Evaluate sin(x+ y)dxdy.

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Q: 6. (6x°-4x² +1)*

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Q: Fill in the missing numbers in the table below. Then use the table to fill in the apparent value of ...

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Q: Find the value of c if (1 + c)-n = 3 n = 2

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Q: Consider the function f(x) on the interval 4, 12. Find the average or mean slope of the function on ...

A: Topic:- function   

Q: Next, we integrate the resulting integral with respect to u using the Power Rule. (Remember the cons...

A: Question is solved.

Q: Va + 4 What is the domain of the following function: f(x) = %3D x- 7 0[-4, 0) O (7, 00) 0[-4, 7) U (...

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Q: Find a particular solution y, of the differential equation: (a) 2y" + 4y' + 7y = x2 (b) y" + 9y = 2 ...

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Q: (1-x²)-1/2 Arcsin x

A: We will integrate the given function using simple Integration method.

Q: O square centimeters of materíal is available to make a box with a square base and an open top, find...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: (T^2-x)dt-tdx =0 when t=1 x=5 Ans,: x=1/3t^2 + 14/3t please show solution

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Here, given that u=9, v=2, θu=0°, θv=60°

Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: 24. Vnt +1 n³ + n n=1

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Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: 1. Separation of Variables: Solve for: y' = yx? x* = y Inc O x* = cy*

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Q: 3. Check if the following is a separable equation. dy dx O variable separable not variable separable

A: dydx=-xyRearrange the equation;y dy=- x dxf(y) dy = f(x) dxYes,the given equation is variable separa...

Q: Find the exact length of the polar curve r=1+ cos 0

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Q: Give The Taylor series abour fa) = ex mring Series-> for the followingevaluaro ns, and Firor Five te...

A: Put x=-5 and x=1/2

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

Q: 13. DETAILS LARAPCALC10 3.2.006. Find all relative extrema of the function. (If an answer does not e...

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Q: cos (6x) cos (3x)dx

A: Solution :∫cos6xcos3xdxNote :2cosacosb=cosa+b+cosa-b12∫2cos6xcos3xdx12∫cos6x+3x+cos6x-3xdx12∫cos9x+c...

Q: 1) Linearize: 3x arourd 天=l %3D

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Q: A fence 12 feet tall runs parallel to a tall building at a distance of 6 ft from the building as sho...

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Q: s2 - 265 - 47 Y(s) (5 - 1)(s + 2)(s + s) %3! 1. Use Partial Fractions to break apart the large fract...

A: Topic:- calculus

Q: v(t) = t² – 3Vt, s(4) = 9 %3D s(t) = 2t 11 %3D - 3

A: Given query is to find position function.

Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: x V3x - 5 dx

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Q: NUTES -3x PG. 8 Problem q: y" =94iyse",y2s e3*

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Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A:   Solve for the derivative of the function using chain rule. 9. f(x)= esinx  

Q: し y(x) ¥(0)%=3

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Q: Solve the following first order differential equations Use any method: 1. e + 2x dx + e' x dy = 0 dy...

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Q: Let g (x) = tan 1x + tan (1/x). Show that g (x) = k, a constant, for any x in the domain. Find the v...

A: Given problem:- Let g(x) = tan-1x + tan-1(1/x). Show that g(x)=k, a constant, for any x in the domai...

Q: sin x cos“ xdx COS

A: The objective of the question is evaluate the indefinite integral.

Q: Let f(x, y) = x² + xsin(y). %3D

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: Find f. 3 f'(x) = 1 - x? f(x) =

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