Evaluate f 4x²-3x+2 X dx.

Q: Consider the parabola f(x) = -x² - 4x-7 i) Write the equation in vertex form. ii) Find the vertex…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Use integration by parts to find the antiderivative of f(x) = ln(x).

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Q: Evaluate sin³ x cos²x dx.

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Q: tab caps lock hift ↑ esc →1 Find the first six partial sums S₁, S₂, S3, S4, S5, S6 of the sequence…

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Q: Let y(x)=−3/x^2. Find y′(−3). Enter the exact value, i.e., no decimals

A: given  y(x)=-3x2=-3x-2

Q: Given the following functions: y = For each function, sketch the curve and determine (where…

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Q: Find the nth term of a sequence whose first several terms are given. 10 11 9' 10' 11' 12' an = Need…

A: The given sequence is 89,910,1011,1112,....

Q: Express 9[cos(60°) - isin(60°)] in the form a + bi

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Q: Question 12 Find the sum of 6 O 10 05 n=1 O 12 53-2 +1 The series diverges.

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Q: An 8 by 8 checkerboard has alternating black and white squares. How many distinct squares, with…

A: Given: an square box in which 64 square box (black and white)

Q: Find the absolute maximum and the absolute minimum for the function f(x)=e−x−e−5x,…

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Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

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Q: -3x²+tan(3x-5) Explain the steps you would take to find the derivative of f(x) = (e

A: Our Aim is to find the derivative of f(x)=12e-3x2+tan3x-5 -(i)

Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A: Here is the solution:

Q: ₁ = 4-3i and Z₂ = 3 + 4i Use trigonometric forms to find Z₁Z2 and Z1 Z2

A: Topic:- application of complex numbers

Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: d dr 11 t²dt =

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Q: Based on this graph, what is the solution to the system of equations? (3, 2) (2, 3) There are an…

A: Topic:- application of geometry

Q: Solve the equation (x+3x³ siny) dx + (x4 cosy) dy = 0

A: Here we have given a differential equation :(x+3x2siny)dx+(x4cosy)dy=0      ......eq(1)

Q: Write the following expression as one integral. 5 7 5 I from S₁ •Sf(x) dx - - f(x) dx + - f(x) dx -7…

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Q: -5 -5- 0 -5-

A: Topic- Inequalities

Q: hat is the average rate of change of f(x) = ln(x+4)/2x+1 over each interval? Give the answer…

A: Given: f(x) = ln(x+4)/2x+1 (a) [-1, 8] (b) 3.45<=x<=5.25

Q: find are length x=2t² y = 3t²,0 ²t ²√58 [0,√8]

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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy(x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y) =…

A: The given function is: f(x,y)=5xe5xy

Q: Given f''(x) = - 36 sin(6x) and f'(0) = 6 and f(0) = 0. Find f(1) = [

A: Given the function f''x=-36 sin6x and f'0=6 and f0=0 use the integration formulas,…

Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

A: f(x)=-x4+16x3-16x+5 If a function is concave up then f"(x)>0 If a function is concave down then…

Q: Answer the following statements true or false. 8.1 The sum of continuous functions is continuous.…

A: Here we have to state whether the statement is true or false.

Q: This graph corresponds to which inequality? y ≤ x + 4 y > x + 4 y < x + 4 y ≥ x…

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Q: a. b. C. d. G++++ 3 +++++:+). 3

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Q: Evaluate the definite integral. 6.³ sin(3t)dt

A: The given integral is Sin(3t), limit from 0 to pi/3.

Q: Find the derivative of y with respect to x in the following equation y = 1¹ where u = 1-z O x² O-x²…

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Q: 8. Integrate the following definite integrals. Express answers in exact form (no decimal fractions):…

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Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

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Q: Evaluate the following indefinite integral. 1 √2 + 3x² Note: Don't forget your C! And be sure to use…

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Q: In addition to 1 and 21, what are the factors of 21? 3 and 6 3 and 7 10 and 11 1 and 20

A: Question: In addition to 1 and 21 , what are the factors of 21 ?

Q: Find the directional derivative fü(9, 2) for the function 37 - 47 5 f(x, y) = xy + y³ with u = fū(9,…

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Q: Question 4 (a) Calculate the following: i. the area of the region in the first quadrant bounded by…

A: According to students we will solve second part for you.

Q: Solve the differential equation [x a. b. C. d. y tan ¹()] 2x tan-¹(²) -¹ (²/2) dx + x tan¯¹ (²/2)dy…

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: According to a state​ law, the maximum amount of a jury award that attorneys can receive is given…

A: Given data:- the maximum amount of a jury award that attorneys can receive is given below 40% of the…

Q: T/F: The half-life of the exponential function P(t) = et is T = ln(2).

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Q: How do you know when the system of equations is solved? None of the answers are correct When one…

A: The objective of the question is choose the correct option.

Q: Find the area of the region bounded by the graphs of f(x)=x^3-x^2+10x and g(x)=-x^2+26x

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Q: Consider the function f(t) = 10 sec² (t) - 3t³. Let F(t) be the antiderivative of f(t) with F(0)…

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Q: Consider the integral fa³ In(a) dæ: Applying the integration by parts technique, let In(x) Ա dv = x3…

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Q: Find the integral of f(x) = 1 √1-16x² between 0 and 1.

A: The given integral is 1/sqrt(1-16x2).

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y=-x² + 7x between x = 1…

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Q: Find the area of the sector of a circle with diameter 32 feet and an angle of 45 Round your answer…

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Q: Let f(x) = 2log₁(x) f'(x)= ƒ' (6) =

A: We have to solve above question