The function f(x)=3-64 has an absolute maximum value of and this occurs at a equals

Q: Express the integrand as a sum of partial fractions and evaluate the integral. S 32x² (x-24)(x+8)²…

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Q: The graph of y = g(x), shown below, consists of straight lines and a semicircle. Using known are…

A: We can evaluate the definite integral .

Q: Chapter 6 11) Find the product (3 + 3x) (-4 + 3x)

A: Topic = Algebra As per guidelines , At a time only one question can be answered. Please repost for…

Q: Determine the value of (gof)(-1) when x+3 f(x) g(x) = x² - 1. T

A: Topic = Functions

Q: Find the solution to the boundary value problem: The solution is e¹ cos 2t + ܘܢܢ e sin 2t d'y dt² dy…

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Q: #8 Sunday, October 23, 2022 8:55 PM Use shell method to write and evaluate definite integral that…

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Q: ans against the side of a house. The angle of elevation of the ladder is 66°, and the top of the…

A: Given query is to find the length of the ladder.

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

A: NOTE: Refresh your page if you can't see any equations. . the position function of the ball is given…

Q: Consider the function h(x) = (x+1)f(x). Give the formula for the derivative h'(x). 1

A: Given query is to find the derivative.

Q: Part I. Find the derivative of the given functions. Show your solution and express your final answer…

A: To find the derivative.

Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: Use a double integral to find the area of the region. B the region inside the cardioid r = 1 +…

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Q: A tank contains 80 kg of salt and 1000 L of water. A solution of a concentration 0.04 kg of salt per…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: (2x+3) y'= y + (2x+33 when x = -1, y = 0 11/2

A: Topic = Differential Equation

Q: Find an equation of the tangent line to the function y = 2x² at the point P(1, 2). Solution We will…

A: We need to find an equation of the tangent to the function y=2x2 atthe point P1,2.Note: We will…

Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = t³ - 3t² - 1.…

A: We can find distance travelled by the particle .

Q: A particle moves along the x-axis so that at time t> 0 its velocity is given by v(t) = −20t³ + 60t.…

A: Given data÷ t = time t≥0 Vt=-20t3+60t

Q: 7 The velocity of a moving vehicle is given by the equation v=(2t+3¹ The task is to: a) Use the…

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Q: Find the exact length of the curve. y = (1 + x²)3/2, O 18 3 22 3 20 3 10 3 0≤x≤2

A: The given curve is  y=23(1+x2)3/2,       0≤x≤2

Q: Determine whether the improper integral diverges or converges. 1 e2x + e-2x 1. converges O diverges…

A: Here we have to determine whether the improper integral diverges or converges. I=∫0∞1e2x+e-2xdx

Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = -5t¹+30t².…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: X y' - m₂y = C₁ e¹₁x, c₁,m,, m² are constants, 1 m ₁ m₂ I

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Q: Given: (2x³ — x − 1) ÷ (x − 1) = 2x² + 2x +1 - Therefore: (2x² + 2x + 1) ÷ (X − 1) = 2x³ O True O…

A: The statement is false .

Q: Let R be the region in the first quadrant bounded by y = y = √3x. Represent this region in polar…

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Q: 1. Consider the function f(x)= x-x5 + sin(27(x - 1)). Use the MVT to prove that there exists a c…

A: Use mvt

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A: Given query is to find the interval where speeding up.

Q: (B) Find the differential equations of the families of curves. 5. Straight lines with slope and…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: A test was given to a group of students. The grades and gender are summarized below A B Male 9 17…

A: To find the required probability

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: On solving this we will get

Q: 2. A catapult launches an object vertically upwards and after t seconds its height meters above its…

A: “Since you have posted multiple questions, we will solve the first question for you. To get the…

Q: How did you get the rewrite from sin^2(x)/sqrt(1+cos(x))

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Q: Estimate the absolute maximum value of the function f(x) = x³ + x² to two decimal places on the…

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Q: Suppose that f(x, y) = 3x²y² + 9x² + 7y² then find the discriminant of f.

A: The discriminant of f(x,y) is given by D = fxx fyy - (fxy)2

Q: Consider the initial value problem y" +36y=et, y(0) = yo, y'(0) Suppose we know that y(t) → 0 as…

A: The given differential equation is: y''+36y=e-t Boundary conditions are: y0=y0  ,y'0=y'0yt→0  as t→∞

Q: Use l'Hôpital's Rule to find the limit. lim X-0 2 8x² cos (x) - 1 8x² 2 Xcos (x)-1 (Type an exact…

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

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

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Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

A: Let x be  a side of the package square base and y be the length of the package.

Q: 1. At all times, the length of the long leg of a right triangle is 3 times the length x of the short…

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Q: Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = y³ - 5x²y x = es, y = et…

A: Given query is to find indicated partial derivatives.

Q: Consider the following equations. f(x)=√x + 4 g(x) = x+4 Sketch the region bounded by the graphs of…

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Q: Complete the following: In √√√x(y² + z²) = C' ln x + D ln(y² + z²) with C' = and D =

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Q: 46. If y = xcos(x) then : d²y. ? dx² -2sin(x) - x cos(x) - sin(x) -2sin(x) + x cos(x) sin(x) إذا…

A: Given, y=xcos(x)

Q: 8 A communication signal is given by the function sint y== The task is to: a) Derive and equation…

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Q: Evaluate the following integral π/2 S π/3 sin x √√1 + cos x -dx

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: According to bartleby guidelines when student post multiple subpart question then expert must have…

Q: Find the absolute extrema of the function f(t)=2cos(t)+sin(2t) on the interval [0,1/2] using the…

A: We want to find absolute minimum and maximum

Q: The same capacitor circuit is now charged up to 12V and the instantaneous voltage is v=121-e -e²²).…

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Q: find the first derivative for :Y=8-7x-7x^2+4x3

A: Given query is to find first derivative.

Q: 51. 53. Soz z dz (a² + x²)³ dz LAVET A

A: