Find the points of Intersection of the graphs of the equations. x+y%= 15 -3x +y%3D 11 (x, y) = (smaller x-value) (x, y) = (larger x-value)

Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. 3x (b) If the...

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Q: Use the Integral Test to determine if the series Σ (n+ 2)/4 1 n=1 converges or diverges.

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Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

A: Both the questions are based on partial fraction.

Q: Determine whether the given series is convergent or divergent. +oo 5n + sin? Σ - | sin n| а. 3" n=1 ...

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Q: sec. sec A x2 + 1 x2 +1 2x Option 1 Option 2 x² – 1 x2 – 1 - 2x Option 3 Option 4

A: Given secA+tanA=x To find secA:

Q: xcos³x² The S dx is 1-sin x? sin?x² + C {c}sin x² +sin²x² + C {D}sin x? –sin²x² + C { A} sin x² 2 4 ...

A: This question can be solved using integration by substitution.

Q: Imagine that at a particular time, a kitchen counter has on it 10 bacteria and that this type of bac...

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Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

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Q: 9 y= Arctan( 1-2x

A: Use simple differentiation twice to get the answer.

Q: Solve the following. 1. Consider the curve of the function f (x) = 2x2 a. Find an expression for the...

A: I am attaching image so that you understand each and every step.

Q: The expression below is an evaluation of which integral? * 6x + 3 ln|æ – 2| – 18 ln|æ + 4| +c 2x2 – ...

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Q: 3. Iim Sin 5x (-) (+) fcx) fcx) - 0-2 o. 84147 0.2 0.24147 -0.02 0.99833 0.02 0.99833 -D.002 0. 9999...

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Q: CHAIN RULE DERIVATIVES Directions: Defferentiate the given functions. 4) glx) - (Aut - Bu)

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Q: CHAIN RULE DERIVATIVES Date Directions: Differentiate the given functions. 2.) G(X) - T52"

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Q: Find the absolute maximum and minimum values of the function on the given set R. (x,y)=(x-2)'+y'; R-...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Use a graphing utility to find the polnts of Intersection of the graphs of the equations. Check your...

A: Given query is to find intersection points.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

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Q: 7. The current population of St. Catharines is about 133000. Suppose a major devel- opment is planne...

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Q: using seperation of variable method, solve dy/dx=x3y2

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Q: What is the particular solution to the differential equation = (x³ – 1)(2 – y) dx with the initial c...

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Q: Evaluate the integral: ſo (x³ – 5æ + 7)dx. Select one: O None. 19

A: Given :∫01(x3-5x+7)dx

Q: Consider the function f(r) - on the interval 2, 6. Find the average or mean slope of the function on...

A: f(x)=1xInterval [2, 6]f(2)=12f(6)=16The mean slope=f(6)-f(2)6-2Mean slope = 16-124Mean slope = -44(1...

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

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Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

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Q: 3. x* + 3x³ + x² +2 X limx→∞ 2x4 + 2x² + 1

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Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

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Q: Find the open intervals on which the function f(x) = ax² + bx + c, a ± 0, is increasing and decreasi...

A: Given f(x) = ax^2+bx+c, a is nonzero differentiate withe respect to x df/dx = 2ax+b for increasing d...

Q: Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all o...

A: Given problem:- Determine the values of a, b, and c such that the cubic function f(x)=ax3 + bx2 + cx...

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x° +0.07x + 14x + 60...

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Q: Evaluate the integral that converge dx (2x- 1)3

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Q: 4. y=x

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Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

Q: Find divergence the vector A (div A) where (A=xz^2+ 3xyz) at a vector (1, * 2, -1)

A: Let's find. 

Q: Answer the following equations for fu the dereviative of (fg)(x) by using the differentiation o the ...

A: We have to find the derivative of the following given function according to the given information

Q: By u = 1+ substitution, the definite integral z(1+ z)"dr is equal to Select one: O(1-u)u"du o (u-1)u...

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Q: 5. THE NORMAL COMPONENT OF ACCELERATION OF AN OBJECT MOVING WITH VELOCITY VIN A CIRCLE = fcv,r) = r ...

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Q: 3 8. f (t) = (10t)z %3D 9. f(t) = tg'(t)

A: Given  f(t)=10t32 To find Laplace transform: 

Q: c) : Evaluate the integral xp- x2-4x-5

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Q: The range of the function f(x, y) = 16-4x-9y is equal to: [0, 16] [0, 16[ This option This option [0...

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Q: n (a) an = (-1)" n+1 (b) an Vn +1 In(n®) (c) an = 2n

A: This is a problem of series and sum calculator. By using several available method we will determine ...

Q: 1. Sketch the graph of the following Quadratic function f(x) = (x- 1)2 -4 and find the following (a)...

A: Given Quadratic Eqaution :  y= (x-1)2-4 Graph : 

Q: An equation of the plane passing through A(2,1, –1), B(0,–2,0), and С (1,-1,2) is: 7х — 5у — z %3 10...

A: We have to find an equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2).

Q: To evaluate the integral xp Jx²+5x+6 S we use the partial fraction decomposition of the integrand. S...

A: Find your answer below 

Q: 3 Determine the equation in the form f(x)%3= for the function with a vertical kx - c asymptote at x ...

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Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A: Let's find. 

Q: By u = 1+r substitution, the definite integral z(1+ 2)"dr z is equal to Select one: O(1-u)u" du o S ...

A: Topic = Integration