Not yet answered Marke Prove that f(x) = (x- 1) + (x +1)² is an even function. A function k(x) is an even function if even function as f(x)=f(-x) f(x) is an Choose...

Q: Evaluate tne derinite lntegral. 3 3 (9t – 4) dt 2 (일-(1 (9(9) )(a) - (20 - aco) 9(0) Therefore, the…

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Q: n lim (5(x;) – 3(x;)*)Ax over [0, 2] i=1

A: To convert this limit of sum as definite integral over given interval.

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Q: students were surveyed on their current enrollment in Math, Biology, and Chemistry. The results are…

A: Solution: Total number of students=180

Q: Find the distance between points P, and P2. P,(4,5,2), P2(6,2,8) The distance is (Simplify your…

A: The distance between two points P and Q is given by: d(P1,P2)=(4-6)2+(5-2)2+(2-8)2

Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

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Q: Vectors a and b have lengths 2. If Ja + b | = V7, determine the exact value of Ja – b|.

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A: We have to find the velocity function, displacement and distance.

Q: Determine the value of lim,00 7²+5 a +3r+7

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Q: (5) Suppose m and bare constants. What is the linearization of the function f(x) = mx +b at any…

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Q: Consider the function f(x) = x2 -1 %3D (a) Find the intercepts of the graph of f (if any). (b) Find…

A: The given function is: f(x)=xx2-1

Q: 3a-6 Differentiate y= csc =CSC 5z2+9 A g' = cot() cse () ( ) B. y' = - cot() csc() ( ) 3x-6 522+9…

A: Given: y=csc3x-65x2+9 As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: e definite integral o5 tan(x)dr using strips of width for the trapezium rule correct to three…

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Q: The integral of the given function ſ 3(x-1) dx is equal to (3x+1)ž

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Q: Answer the following True or False. Let f(x)be a decreasing positive function. Then the right…

A: topic - area under curve

Q: Question 2 [ a) [ : Explain why the following series (-1)" Σ 1 + n5/2 n=1 is Alternating. b) h. 1:…

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Q: 3. Two vectors, à and b, have a common starting point with an angle of 120° between them. The…

A: Solving

Q: 7 n³+9 3 n=1 6 n³ + 1 %3D 8.

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Q: d E A. By power series, prove that: -cosx = -sinx dx

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Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

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Q: B. Find the value of x for which Inx + (Inx)2 + (Inx) + (Inx)* +.= 9

A: Use the formula of sum of infinite gp series and then simplify.

Q: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

A: To find the slope of tangent line at x=a.

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: (b) Lines of reflection Lines of reflection Lines of reflection Order of rotational symmetry Order…

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A: We will find the area and cost.

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Q: Use Riemann Sum to find the area bounded by f(x) and the x – axis: f(x) = 4 – x² over [-2,2] x =…

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Q: Given that f(x) = x ² - 5x + 6, evaluate the function f(x+ h) – f(x). %3D

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION 1. (D^3 – 3D^2 – D + 3)y = 0

A: The given differential equation is: D3-3D2-D+3y=0 So, the auxiliary equation is: m3-3m2-m+3=0

Q: f(x)=(5+x4)1/4 what is f2(x)

A: Given query is to find the second derivative of the expression.

Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y"…

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Q: For j(z) = (3x2 - 7) (-2x* + 7x), find j' (x) by applying the product rule. Provide your answer…

A: j(x)=(3x2-7)(-2x3+7x) The product rule is: (fg)'=f'g+fg' From above:  f(x)=3x2-7g(x)=-2x3+7x Now,…

Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: 8 In what quadrant does the angle lie? 7pi/3 IV II I III

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Q: drop of oil in the shape of a circle is increasing its area at a rate 4 cm2/min. Find the rate of…

A: Given query is to find the rate of change of radius.

Q: BE-8- 1 (a) [. . | Determine if the vectors 0 and 1 span R° 3 (b;. | Can these three vectors form a…

A: (a)Her,e the matrix generated by the vectors is: 1000512-23

Q: B. Find the value of x for which Inx + (Inx)2 + (Inx)+ (Inx)* + = 9

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Q: Adriel just got hired for a new job and will make $65, 000 in his first year. Adriel was told that…

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Q: 2n +3 an %D 5n+8 hen the series an n =1 is divergent Select one:

A: Given query is to find series converges or diverges.

Q: -3 1 4 What is the transpose of the matrix 5 2-1

A: Transpose of a matrix can be found by interchanging the rows into columns or columns into rows.

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: We have to find the lower and upper estimate.

Q: please answer number  2 and follow the format of sample solution (include the rules/techniques used)

A: Here we have to find the integral

Q: Which of the following series is convergent? Select one: 3n 4n 2n + 1 n=1 3n 3n 2n + 6 n=1 2n 2n 6n…

A: In all the given series you can use the Root Test, that is to find: limn→∞ann if that is less than 1…

Q: The integral of the given function f dx is equal to a. 0.116 b. 0.611 с. О.117 d. 0.161 e. None of…

A: Here we have to find the definite integral.

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: Question 2 Construction Problem A farmer has 180 ft. of fencing to be used in the construction of…

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Q: Question 12 The domain of the function f(x) : R → R defined by f(x) = V² – 3x + 2 is O (-∞, –3) U…

A: Given query is to find the domain of the function.

Q: lim 1 n- 00 n V1+x on [0, 2] 2/1 + x on [0, 2] 2/1-x on [0, 2] 2/1 + x on [-2, 2] Y1+X on [-2, 21 키

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Q: The velocity of an object moving along a line is given by v = 3t2 + 1 ft/s on the interval 0sts4. a.…

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