Simplify the expression tan (sin- (-)). Provide your answer below:

Q: 2. Determine the x-coordinate of the points where the tangent to the curve y = (x – 2)²(x + 3) is ho...

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Q: Find the inverse function g (x) = 4x + 8                                                     6 - x,...

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Q: 2. Y = (5x³ + 2)6 ;y"

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measure...

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Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 4, f"(0) = 4, f"(0)...

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Q: 1. For function z = f(x, y) where f(x, y) = 4 – x² – 2y², we compute that fa(1,1) = -2 and fy(1,1) =...

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Q: Write out the form of the partial fraction decomposition of the function: (x^4-2x^3+x^2+4x-1)/(x^2-2...

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Q: If y = x/T, then y' – 1/*. Select one: O True False

A: Given - y = x/π  To show :- y' = 1/π    

Q: cos(7t), 3t >. Find the arc length parameter s(t) with base point at P(t0) where t0 = 4.

A: Here is solution

Q: (4) At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailin...

A: Here we will find the distance between ships and rate of change of distance between two ships,  

Q: -2x y = Ce 2 + Cze*

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Slope amd tangent line 

Q: BLUE COURSE ABCD is a quadrilateral such that AB-15 cm, BC-3 dm, CD=48 mm and DA=0.02 m. Express the...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: You are standing 42 meters from the base of a building. You estimate that the angle of elevation to ...

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Q: 2. An object is launched upwards moving on a straicht line Its height in metres, i5 given by the equ...

A: Topic = Algebra As per guidelines , At a time only three sub-parts can be answered.

Q: Given the matrix 4 1 -1 0. 0 2 -1 (a) find its determinant; Your answer is : (b) does the matrix hav...

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Q: 1. Find the point on the graph of f(x) = x -8x – 5 where the tan gent line is horizontal. (SLOPE = 0...

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Q: 4. Which of the following is logically equivalent to (p V¬q)^(¬p V-¬q) ^(¬q Vr) а.)p b.)q с.) —р d.)...

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Q: Find the solution of the equation 4xsinx +2 cos 2x a2 2 using the Newton-Raphson method with an erro...

A: Given:

Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = sec y =...

A: Here, the region bounded by the curve y=sec x, y=0  from x=-π4 to x=π4 about x-axis is:  

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

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Q: In running events, Banjo always trails from Bibo. Moreover, Kim runs faster than Bibo. Does Banjo r...

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Q: Test the series below for convergence using the Ratio Test. 00 n5 0.8" n=1 The limit of the ratio te...

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Q: f(x)= 5.738e0287x By inspecting the graph of an exponential function, find the following. Note: Roun...

A: The given function,      f(x)=5.738 e0.287 x

Q: 5. Find the volume of water in a swimming pool with vertical ends and sides. The length measured at ...

A: As per our guidelines we are supposed to solve only one question i.e. the question no 5). For the so...

Q: Activity 3. "Let's be connected with each other" Directions: Compute f'(3) for each of the following...

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Q: Use the appropriate multivariable chain rule to find the indicated derivative. a. Let w = f(x,y,z) =...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: Find the general solution. (x³+3xy²)dx + (y³ +3x²y)dy=0 O a. x4-y4-6x²y² = c О а. O b. x*+y*+6x?y? =...

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Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

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Q: Let f(x) = (r' - 5z)" and g(z) = 20z + 10. Find g(f(x)). O 20(- 52)+ 10 o (20z + 10) ( - 5x)*) (x) O...

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Q: (b) ln x as 0 As x0, In x →

A: Topic = Function  

Q: Use identities to find the value of the expression. If Bin o = 0.45, find cos CT/2-e). 61e sin@ - T/...

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Q: Write out the form of the partial fraction decomposition of the function: (x^2)/x^2+x+6

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Q: 15.What is the first derivative with respect to r of f(x) = (? – 4)(3x – O A. 6x о в. (х +2)(х -2) (...

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Q: 9. lim e 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim x+00 1 13. lim COS X 14. lim e -3x+4 4x+7 1...

A: These questions are related to limits, we will solve them using given information. 

Q: (6)The radiusr of a circle is increa sin g at the rate of 8 per minute. ст Find the rate of change o...

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Q: Given F(2) = 1, F' (2) = 5, F(4) = 3, F' (4) = 7 and G(4) = 2, G' (4) = 6, G(3) = 4, G' (3) = 11, fi...

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Q: Given: f(x) = x + Vx; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an a...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: -7 -4 A = -12 -3 -12 8. 50 has 1 = -3 as an eigenvalue with multiplicity 2 and 1 = 1 as an eigenvalu...

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Q: Given: f (x) = x + vx ; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an...

A: NOTE: Refresh your page if you can't see any equations. . take x=1 the point on the graph is 

Q: At the point x 2, the function -8 2<x<* f(x) = |x-2 -< xs2 is (a) continuous and differentiable (b) ...

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Q: D Evaluate without using calculator. Use the pythagorean identities rather thae reference txiangles....

A: a To find sin θ and cos θ if tan θ=34 and sin θ&gt;0.b To find tan θ and cot θ if sec θ=4 and sin θ&...

Q: 4. Homogeneous Diffe rential Equation: (r* + 2.xy – 4y° kx-(x²-8ry-4y dy 0 Use the substitution y = ...

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Q: Solve the following problems a. Which of the following are the coordinates of a point where the tang...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. b, = e9-n² (Give...

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Q: Exact Diffe re ntial Equation: x(3xy – 4y' + 6 kdx + (x³ – 6x°y² –1\dy = 0 |

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Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1...

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Q: . Separation of Variables: x(y +1dx + dy = 0

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Q: Sketch the graph of the following functions a) X/x+2 b) 1/(x−3)2

A: We can find the graphs as below