Find the critical numbers of the function f(x) = x – 12x2.

Q: Use the given graph of the function f to find the following limits. If a limit does not exist, type ...

A: In the graph open circle represents that at that point function value is not defined but it is indep...

Q: Question 15 Write a chain rule formula for the following derivative. for w = f(x, y, z); x = g(s, t)...

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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: 1. lim 3 2. lim 57 3. lim log r

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: n. 2n + 1 Σ n tan -1 n n=1

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: given the system of equations: 4x(x2 + y - 11) + 2(x + y2 - 7) = 0 2(x2 + y - 11) + 4y(x + y2 - 7)...

A: We need to solve the given system of equations for x and y: 4xx2+y-11+2x+y2-7=02x2+y-11+4yx+y2-7=0  ...

Q: 1 SC — х - —dx 2 csc - xdx= rdx32 2 2 A) True B) False

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Q: Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the funct...

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Q: Given the graph of the function below. Find the limit of the function as x approaches 3. * (3, 4) (0...

A: Given query is to find the indicated limit.

Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

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Q: x5 dx 3 (36x2 + 1)7

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

Q: 1. sinx siny dx + cosx cosy dy = 0 %3D 2. [2xy cos(x2) – 2xy + 1]dx + [sin(x²) – x²]dy = 0 3. y?dx +...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: 2xy cos(x^2) - 2xy + 1]dx + [sin (x^2) - x^2]dy = 0

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get rem...

Q: The limit of a constant function is always zero. * TRUE FALSE

A: topic - limits

Q: Evaluate the following using trigonometric substitution: Vx2 - 4 dx

A: Find your answer below 

Q: Determine whether the following problems converges or diverges. If it converges, compute the limit. ...

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A: As per our guideline, we are supposed to answer only the first question, get remaining please post a...

Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

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Q: Use the preferential voting method to determine the winner and compare it to the single candidate vo...

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Q: Consider the given function and the given interval. f(x) = 5/x, [0, 4] (a) Find the average value fa...

A: The objective is to solve the above question.

Q: Consider the Second Order Differential Equation d?i di drz +77+ 10i = 0 dt Where i represent current...

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Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their val...

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Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

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Q: The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to es...

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Q: if x s -5 x – 3x-2 if x>-5 2x² + 1 Find the lim f(x) where f(x) = O -80 O None of these O -128/25 O ...

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Q: find the area of the Shaded Part AUsing Polar y =2X

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Q: 1. Evaluate the integral: SSf, xe**+y<+zt dV where B is the portion of the unit ball x² + y² + z² < ...

A: Here, the region B is the portion of the unit ball x2+y2+z2≤1 that lies in the first octant. Convert...

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: A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of 5...

A: We need to find average and instantaneous velocity. 

Q: 3. Find the following integrals. Most of them (but not all) require partial fraction xdx 2х + 3 b) s...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: planes - parametric equation

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: y^2dx + (x^2 + 3xy + 4y^2)dy = 0; when x = 2 , y = 1

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Q: Let a = ci + j and b = 3i + 4j. Findc so that the angle between a and b is . Round your answers to f...

A: We will use the formula of angle between two vectors to solve this question.

Q: 9. (2y? + 2y + 4x²) dx + (2xy + x) dy = 0; when x = -1 and y = 0

A: As per our guidelines we can help you in solving only first problem. Rest of the problems you have t...

Q: A 13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides av wall?...

A: length of ladder l=13 ft Let x be the horizontal distance from the wall to the bottom of the ladder....

Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

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Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C. sec...

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Q: Find a formula for the nth term of the sequence. - 2, 1, 6, 13, 22, ... Determine the sequence's for...

A: We have to find the sequence's formula in terms of n. 

Q: z, Z2 Prove

A: If z =x+ iy then  z = x- iy. i2 =-1.

Q: (1+ cot x) dx Evaluate: sin?x/9- cot?x cotx (А) - sin +C 3 9- cot?x – sin cotx + 9- В - cotx + C - -...

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Q: The distance d of a point P to the line through points A and B is the length of the component of AP ...

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Q: Find an equation for the plane through points P(1, -1,2), Q(2,1,3) and R(-1,2,–1).

A: This question can be solved by applying the formula of equation of plane passing through three non c...