integral

Q: 3. From a thin piece of cardboard 14 in by 14 in, square corners are cut out so that the sides can…

A: This question can be solved using the concept of maxima and minima.

Q: Point Line (-7, 1) x+y=8 Exercise (a) Write an equation of the line through the point parallel to…

A: This question can be solved using the concept of point slope form of a line.

Q: Express in exact form: In(x² + 1)dx

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Q: 4 3 1 -1 & Find lim The graph of the function f(x) = tanx is given above for the interval z = [0,…

A: Topic = Functions

Q: j dx (2x-3) 15-12x+cx 2

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Q: 4.7 Show that does not exist. lim (x-2)(y-1) (x, y) → (2, 1)(x - 2)² + (y − 1)² -

A: In this question we have to show that limit does not exist.

Q: a drug is injected into the bloodstream of a patient through the right arm, the drug ntration in the…

A: Topic:- application of derivatives

Q: State the restriction on the domain and then find the inverse of the function. f(x) = x² - 6x Domain…

A: The given function is fx=x2-6x

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $543 each for 83…

A: We need to find no. of passengers and max. revenue.

Q: Problem 2.5 Evaluate lim x →0+ 1 (-/-)

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y² + 4, (1, 2) Vf(1, 2) =

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact…

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Q: Find the exact value of cos 2x given that sinx= - 3 and x is in quadrant III.

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Q: (a) Find the derivative of ƒ (2) = (x² + 5) (8æ — 5) by first expanding the polynomials. Enter the…

A: We have to find out derivative

Q: 1. S sina de cos²x

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Q: Please

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Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: tan12/1-tan^2 12 simplify

A: Simplify tan121-tan212

Q: cook Use the power series f(x) = In (1-x) = - Σ for -15 x <1, to find the power series…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: This is a problem related to vector. Please find the procedure given below.

Q: Find the Laplace Transform of f(t) = sin2tcost (A) B 2 s+55² +4 2 E s² +3 s+10s² +9. +(57+55²+4) Ⓒ4…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: To find the component form of v given its magnitude and the angle it makes with the positive…

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 3 3x 15y 3z = -4 - -…

A: The given planes are 3x-15y-3z=3 and 3x-15y-3z=-4

Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: A box without a lid is required to have volume, V = 32000 cm^3. Minimize the amount of cardboard…

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Q: The height y (in feet) of a ball thrown by a child is 1 y = - -x² + 6x + 3 12 where is the…

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Q: Integrate using the fundamental theorem of calculus

A: Our Aim is to evaluate the integral given below using Fundamental Theoem of Calculus.∫01x4+12 dx…

Q: 3 Solve the following ODES by Inverse Operator method. 2X (D²³ +1) y = 3+* +52x ● X/2 Ans: y=c₁e³+…

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Q: Evaluate the following integral and express in exact form: cos(x/2) sin(x/2) dx

A: SOLUTION-

Q: K=1 3√√√x² +7 2 K³ +4 3 • The limit comparison test with { k=1

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Q: Evaluate the following expressions. Your answer must be an exact angle in radians and in the…

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Q: me Determine the equation of t e 00 te tragen ܘܪܐܐܝ tangent line to y 3- 22+1 at 2:

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: (√x² + y² − ²) dx + ( = √x² + y² − 1) d d; = 0 dy dr 2x = (3y + x).

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Q: In 2020, the hourly minimum wage for a City of Madison worker was $11.15. Suppose the hourly minimum…

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Q: ~tu{S} o 1 In(y) dy de

A: We have to find the double integral

Q: I'm looking for a more expanded explanation on how to graph f(x) = -3sin(x).   I'm not…

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Q: 4. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 9x on the…

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Q: 5. [tan³x sec³x dx

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Q: Use Simpson's rule with four subdivisions, to estimate the following integral f/² cos x dx

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Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

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Q: Select the correct answer. y = 6x4 - 8x² + 5x 4 y = 5x² - 6x² + 8x + 3 y = 6x²³ - 8x² +5 Oy=x²-8x²³…

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Q: sina+sinatan² dx a sinx 2. ·S

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Q: Consider a pool shaped like the bottom half of a sphere, being filled at a rate of 25ft^3/min.the…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: 2 Solve the following ODES by 1.2 • ý -2y +y = e sinx Inverse Operator method X X Anse y=cie +…

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second Derivative Test to…

Q: 3 y = (x² +1) ² Find day dx ²

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Q: The graph below is the function f(x) -5-4-3-2-1 Find lim 24-1- Find lim 2 1 02 03- -4- 4 z→-1+ Find…

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