Evaluate J√sin a 3 sin x cos³x dx.

Q: x¹ - 1 x→1 x-1 cos(π + h) +1 h 28. (a) lim h→0 29. Find dy/dx/x-1, given that y = 1-x². 30. Find…

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Q: 1. Find the equation of the plane that passes through the points (1,0,-1), (0,2,3) and (0,0,5) in R³…

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Q: Problem 2 A Classify the critical points of the following function (in other words say if they are…

A: The given function is: f(x,y)=x2+y2-2y

Q: the axis of the parabola. y=x2−4x+5       Question content area bottom left Part 1 The vertex is…

A: We can find equation of parabola.

Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter 'co'…

A: This question can be solved by using the concept of graphical interpretation of limits

Q: ind a value of h for which 3.0 2.5 h = o in y 2.0 1.5 1.0+ 0.5 f(2+h)-f(2) h 0.5 1.0 Give your…

A: Given Graph:-

Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3]. Write your…

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Q: 1 en (enx)+ dx (enx)?

A: To evaluate: ∫lnln x+1ln x2dx

Q: Find lim (3x³ + √9x6 − 2x³ ) 8118

A: Make the substitution x = -x

Q: For the function: f(x) = 2x² - 2x - 1, find and simplify f(x) = f(a) x - a a. b. f(x +h)-f(x) h Get…

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Q: Write the Cayley table for the group U(15).

A: As per the instruction, we will be answering the first one.

Q: Find the limit x + 3 lim x 5 x²-3x + 5

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 EPIC Does not exist 02 0…

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Q: Solve (a) (x+2y) dx + (2x - 5y) dy = 0 (0)

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Q: Evaluate. Choices: y lim f(x) x-1 a. -1 b. 4 5 C. 2 d. Limit does not exist X

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Q: Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 7xy³. fax (x, y) = fry (x,…

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Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: Problem 3 A Find, if they exist, the extrema of the function: f(x, y) = 3x² + 3y² + 1, subject to…

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Q: A mummy was recently discovered. It now contains 66.7% of its original Carbon 14. About how old is…

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Q: A = -3 0 17 1] 506 803

A: Topic =Matrix

Q: (√9x²–5x+1+3x). Evaluate_lim (√97²

A: Here we have to use the concept of the limits. I have appended formula used in the solution part

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Σ n = 1…

A: as per company guidelines we solve only first question when multiple question being posted

Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

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Q: collection of nickel and dimes is worth $2.65. There are 8 fewer dimes than nickels. How many dimes…

A: Given query is to find number of nickels and dimes.

Q: 2y + [[ 2-y]] lim Y>-2- y² +Y-2 lim Y→-2+ 2y + [[2-y]] y² +y-2

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Q: What is the value of º₂ 6x(−x² + 2)³ dæ? (Hint: let u = −x² + 2)

A: The given integral is ∫-206x-x2+25dx We have find the value of the integral.

Q: Find the limit: √√-8 lim 2-64 64 Give your answer to at least three decimal places: Submit Question…

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Q: Given: f(p) = Evaluate lim f(p). p-1 Choices: (2p+3; p 1 a. Limit does not exist b. 5 C. 2 d. 6 ;

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Q: Identify and sketch the domain of f(x, y) √x-y In (1 + y - x²)

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Q: Which of the following is an equation of the tangent line to the graph h(x)=- Oy-3--1(x-3) Oy - 1/2…

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Q: What is the integral of the function f(x) = sin 2x?

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Q: What is the interval notation for the solution set of: |8-3x|>2

A: In this question, we need to find the interval notation for the given solution set.

Q: хр (DZUIS-(x87 sex =h П ћp pul

A: We can find the required answer in the below steps.

Q: Does it mean that the limit of the function 2y + [[2-y]] / y^2 + y -2 as x approaches -2 from the…

A: limx→a+f(x) represents the Right hand limit )L.H.L)and  limx→a-f(x) represents the Left Hand limit…

Q: - 8(x,y) = { -5x²y³ 3x4+7y6 if (x, y) = (0, if (x )

A: Here given function is g(x,y) and it is defined as 0 at origin(0,0).but it's limiting value is…

Q: Let f(x)= = [mx m = - 11 if x < -10 - - 10 x² + 4x 1 if x 2 If f(x) is a function which is…

A: Since the function is continuous everywhere, the value of f(x) at x&lt;-10 is the same as x&gt;=-10…

Q: I.B. Sketch the graph of a function f satisfying ALL the given conditions. ● • f(-4)= -2 ● The…

A: Information                                             Graphical interpretation

Q: Find the average value gave of the function g on the given interval. g(x) = 2 cos(x),   (-π/2, π/2)…

A: Given query is to find average value of the function.

Q: Is the graph of r(x) = 4x³ - 2x² + 9x - 2 concave up or down at the point with x-coordinate -1?

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Q: 3x² + 3x - 1 6x³ - 17x2 - 4x + 3

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Q: Part 1: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A: Concept: A circle is a collection of all points in a plane that are uniformly distanced from a fixed…

Q: Let f(x)={x^2+2x-1 Evaluate f (-3) and f(5) if x 0 Graph the function:

A: The given function is as follows: fx=x2+2x-1 To evaluate f-3, substitute x=-3 in fx and to evaluate…

Q: Sketch a graph of f(x) = Which of the following graphs correctly plots this function? 3x - 1 5x

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Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: In a certain city the temperature (in °F) t hours after 9 a.m. was modeled by the function T(t) =…

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6 oz of this…

A: Given that a mold grows at a rate that is proportional to the amount present.Initially there is 6 oz…

Q: 2. A circular walkway is to be built around a monument, with the monument as the center. The…

A: The equation of the circle with the centre   ( h, k) and radius r is given by      (x - h)2 + (y -…

Q: Solve for t. ROUND YOUR FINAL ANSWER TO 2 DECIMAL PLACES. 6 e 1.6t = 19764 t=

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Q: 1. Given that the position of a particle is given by s(t) = 3t4 + 20t³ − 48t² + 17t + e¹¹, determine…

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Q: ул -5 -5-4-3-2-1 -5 45

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