2. Given the graph of f'(x), sketch a possible graph of y = f(x). Make your thinking clear using concepts taught in Cycle 3. %3D AA -4 -3 +2 -1 4

Q: Find the area bounded by the curve 2x + 4x + y – 0 and the line y + x = 0 1 1.125 1.525 1.823

A: We will find the area bounded by the curves. 

Q: 21. |'t cosh t dt Jo

A: Note:- These are multiple question and according to our company guideline we can do maximum one ques...

Q: Use Root Test to determine whether the series E(-1)"en² sin²n (2) n=1 absolutely converges, conditio...

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Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: 5. Find the extremum points of the function (the minimum and maximum points, the values of the funct...

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Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find. 

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to ...

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Q: * 00 %24 Suppose that a company introduces a new computer game in a city using television advertisem...

A: Given query is to find value of p at x = 0.

Q: 2. Determine if the series n (-1)³n n4 +1 n=1 absolutely converges, conditionally converges, or dive...

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Q: dx dy for 4xy-5x+4y = - 176, with the conditions dt = - 12, x=4, y = - 3. dt Assume x and y are func...

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Q: - y = V16 – x² and the x-axis about the x-axis

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact answe...

A: This question is based on dot product and mod of vector.

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 9) 3 v = 12' 3 O parallel O ...

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Q: Find the area of the triangle with vertices P(1, 5, –3), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the e...

A: use the cross product and determinant  for solving the area.

Q: S tan-1(bx) dx

A:

Q: Convert en extay?) JA O ver the region Q4. polar form and e to e Valuate let y= 7sino dA = rdrdo How...

A: ∫02π∫1e 2ln(r)(dr)(dθ) here we apply the ∫u*vdx rule ∫u*vdx = u∫vdx - ∫du/dx∫vdxdx so here 2lnr u = ...

Q: dx

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, –7) and the vector component of v orth...

A:

Q: 5. Use the comparison test to determine if each integral converges or diverges b) 2 2/3-4 a) e-x² dx

A: Solution: 5.a ∫1∞e-x2dx

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A ...

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Q: Find the surface area of revolution about the y-axis of y = 2x + 3 over the Interval ISIS4

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Q: 3. Consider the series n (2л — 1)8п. - п4 + 1 n=1 Use the previous item to find its interval of conv...

A: Solution is given below:

Q: Consider the following planes. -6x + y + z = 6 12x – 2y + 6z = 36 (a) Find the angle between the two...

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Q: Compute the total cost per year of the following pair of expenses. Then complete the​ sentence: On a...

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Q: ydy – ydx = xdx; when x = y= 0

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u. (v x w)| to determine t...

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Q: nd the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, en...

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Q: e^-3(t-3)-e^-3(t-5)=?

A: Solution is given below:

Q: Find the length of the curve defined by 2? = 2y3 from x = 0 to x = 4:|| %3|

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Q: Question 3 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x3 ...

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Q: Evaluate the given integral by changing to polar coordinates: Sl. x²y dA, where D is the top half of...

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Q: 1. Let f(x) = 1 – x2/3. Show that f(1) = f(-1). This means that by Rolle's the- orem there should be...

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Q: Find fx, fy, and fz. f(x, y, z) = In (xy) Z fx = z ln: fy=z In :f, = In (xy) fx :수:fz= In (xy) fx fy...

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Q: Find the length of the curve defined by æ? = 2y³ from x = 0 to x = 4:|| %3D

A: We need to find length of curve.

Q: Valuate% I-S(t sinzo} de

A: To evaluate the given integral.I=∫0π12sin 2θ2 dθ    

Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back ...

A:

Q: given 2=y+h (x= yz) and h Ct) is continwas そ X. aメ what Is

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Q: (2y? + 2y + 4x²)dx +(2xy +x)dy = 0; when x =- 1 and y = 0 %3D

A: Let's find. 

Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v ort...

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Q: If f (x) = | e*dx and f (0) =2, then what is f (2)? e2+ 1 В e2 e +2 D e2 - 1 None

A:

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 9k w = i+ 3j + 7k Find the ...

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

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Q: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

A: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

Q: Given f(x) = 4x² – 9 and g(x) = 2x³ + 3x², and that h(x) g(x) determine h(f(x)). S(x)' %3D

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

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Q: Construct a truth table to show that (p Ag) → p is a tautology.

A:   p q (p ∧ q) p (p ∧ q)→p T T T T T T F F T T F T F F T F F F F T  

Q: Find a polynomial of degree 3 that has a maximum at the point (0,7) and a minimum at the point (2,−3...

A:

Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...