Lim 3 128 2 J

Q: Please

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Q: art (ii) Show that the following harmonic series is convergent. 1 -= 1 2

A: Series

Q: 3. a) Describe the translations applied to the graph of y= x² to obtain a graph of the quadratic…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: Determi he the slope 9 x3 -43 =1 at (1,2)

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Q: 2. (a) Let f(x, y) = x² sin(x + y), find 잃 and 잃.

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Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

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Q: An emply container is filled with liquid. The height of the liquid in the container is x cm and its…

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Q: 5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as…

A: Let's find.

Q: 10 14 18 22 26 30 f(x) -13 -5 -1 1 5 7 30 Use the table to find lower and upper estimates for f(x)…

A: x 10 14 18 22 26 30 f(x) -13 -5 -1 1 5 7 By using the above table to find lower and upper…

Q: -5x- 4 etermine an equation of the inverse of the function y = 6x +4 y = -5 -5x +6 C. リ= -4 6x-4 y =…

A: Given query is to find the inverse function.

Q: Find the deviva coulx ty)sy

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

Q: LDE with Variable Coefficients d²y + 6(x² + x) sin x d?y 6x2 sin x+ 6y sin x – 6 sin x- + sin x- dx2…

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Q: -At the minimum point the value of second derivative is choices a. imaginary b. negative c. positive…

A: Solution: At the minimum point the value of the second derivative

Q: Given the function f(x) = (x + 1)(x- 2). Find the interval where f(x) is increasing and decreasing.

A: The solution of question no 4 is given in the next step.

Q: x – 1 1- x z – 3 Consider the lines l1 : = 2 – y = z + 1 and l2 : = y – 2 = 3 1. Determine a…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: solve 4cos^2(x)-13cos(x)-12=0 for all solutions 0<=x<2pie

A: We can find the solution as below.

Q: Find the integral of x2X from x = 0 to x = 1. Give your answer to two decimals. Your Answer:

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Q: e) f(x) = 3x2 – 7 g(x) = 2x+3 find f(g(x)) %3D

A: Find f(g(x))

Q: Find the general solution for the given differential equation. dy dx

A: To find the general solution of the given differential equation.

Q: 4) Consider the function g defined by ga, y) = cas (7x Jj )+ logg(x-y) (c) in what dire ction…

A: The given function is: gx, y=cosπxy+1log3x-y. Required formula: The maximum directional derivative…

Q: x2 – lim 2x - 8 = 6 21. - x - 4

A: Given the limit,       limx→4x2-2x-8x-4=6

Q: 2. If the acceleration function of a certain particle is given by a(t) the velocity function…

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Q: Convert the following decimals to fractions and vice versa. Do not simplify. 1. .9 = 2. .55= 3.…

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Q: n! 00 is 2.5.8....(3n+2) Zn=1 а. 3 b. 5 с. d. 3.

A: For the following problem,

Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.

Q: A linguist studying the spread of new words and slang observed that the number of daily occurrences…

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Q: The difference between two angles, how is the result of the same trigonometric function

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Q: eventually

A: We will solve the problem.

Q: Consider the vectors ā (2, 3, –1) and b = (4, –9, 6). Find the cross product of a and b

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Q: 2. Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and…

A: The vector perpendicular to the plane 5x-2y-z=4 is 5i-2j-k This allows us to write the point vector…

Q: 4. What is a true error ? A abs (True Value - Approximate Value) B. abs (Present Approximation –…

A: topic- Errors

Q: 2) Consider the function g defined by glx, y) = (アxg)+ COS logs (x-y) la) determine дудх

A: Consider the function g defined bygx, y=cosπxy+1log3x-yto determine ∂2g∂y∂x.

Q: If you can, please draw the grafic of this exercise

A: This question can be solved using the concept of drawing parametric curves.

Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis.

A: Topic = Area

Q: Find the Indeflnite Integral. dx Step 1 Observe that Is the derlvative of x. Let g(x) Multiply and…

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, dx *+ y = xy/3.

A: Differential equation

Q: 4 2 0 2 6 8 -4 -2 4 lim Given the graph of the function f above find f(x) X-2 A) 3 B) -i C) 2 D) 4…

A: We will find the correct answer.

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 11, f'(0) = 13, f"(0) =…

A: f(x) has f0=11, f'0=13, f''0=-14, f'''0=5

Q: The volume of water in a right circular cone of base radius 6 inches and height 18 inches decreases…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: The given integral,     ∫13xx2+9dx, n=5

Q: Solve for the second-order derivative of: [(4x3-1)(8x2+6x-3)]3

A: We have to calculate second order derivative of [(4x3-1) (8x2+6x-3)]3   Let us say  Y= [(4x3-1)…

Q: Problem 3 T A. N is rotated 3n radians. Mark the point where it is located as A. YA B. N is rotated…

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Q: An open-top rectangular box is being constructed to hold a volume of 400 in'. The base of the box is…

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Q: 1 2. - 2 ( x+ 1) 2 xp-

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Q: J.) Frawate 822-27. 922-9 lim Deser mire the domain 6.) F(x) =「メー %3D

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Q: Use the root test to determine whether the series 7n -n-2\" 3n2 +n+ 4 converges or diverges. Since…

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Q: ex -dx e2x+1 00 Determine el valor de a e R tal que: 4 a

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Q: If a, ß be the roots of m (x-x)+ 2mx +3 = Q and m,m, be the two values of m for which a, B are…

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