Y 2x - 3 r2 _ 5x +6 2x - 3 Jo x2 – 5+6 dx = 4 ln 2 – 3 ln 3.

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A: We can solve the given problem by using the second derivative test.

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A: Given height:- ht=104t-16t2

Q: . lim) y 플 wen) we y cos ㅍ 품 y-ㅍ

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Q: Translate the given matrix equations into a system of linear equations. (Enter your answers as a…

A: Given, 01911-500xyzw = -25

Q: The graph f(t) is given in the figure. Represent f(t) using a combination of heaviside step…

A: see below the answer and explanation

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A: Question is ∫-100100-x2dx is quarter circle

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Q: per second. he rate of change of the length of 15 in.

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Q: X y a= 1 884 2 1149 3 1618 4 5 2190 2962 6 3705 Use regression to find an exponential equation that…

A: Given Table : X Y 1 884 2 1149 3 1618 4 2190 5 2962 6 3705 .

Q: The number of bacteria in a flask grows according to the differential equation dy/dt=0.09y In this…

A: The given data is: dydt=0.09y

Q: ke for this investment to reach a value of $11,800.00?

A: Given query is to find the investment to grow 11800.00

Q: Show that the following vector fields F are conservatives and find ALL f such that F = Vf. (a) (b)…

A: As per guidelines, we can solve only first question if multiple questions are posted, please repost…

Q: 2. Let g(x) = arctan(x²) — ln(1 + x¹). Find the equation of the line tangent to y = g(x) at x = 1.…

A: Given:- gx=arctanx2-ln1+x4

Q: Find the mass and the center of mass of the triangle with vertices (0, 0), (0, 3) and (2,0) assuming…

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Q: A company that makes bicycles has determined that a new employee can assemble M(d), where M(d) =…

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Q: 3. Evaluate the double integral fe+y dA, where D is the triangular region in the first quadrant…

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Q: Let f(x, y) = 2x2-3y² -x+y+1, find the maximum and minimum values of f(x, y) over the triangle with…

A: The given function is:f(x,y)=2x2-3y2-x+y+1

Q: dy d x X Y y(0) 1 = -3

A:

Q: Find the directional derivative of f(x₁x) = 3x²³-y²° +5x²³y at (2₁-1) in the direction of -37-48

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Q: How many inflection points does  Which points are inflection points? (List the labels of the points…

A: To find inflection points of the given graph

Q: 4 2 Find all of the critical points of 2 = =+ = -xy. Identify each point as a Y local minimum,…

A: Find all of the critical points of z=4x+2y-xy. Identify each point as a local minimum, maximum ,…

Q: lim X-70 3√√x+1-1 X

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Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis y 6…

A: see below the answer and calculation

Q: Find the volume of the solid bounded by the paraboloids z = −7 + x² + y² and z = 4 − 2x² – 2y² 1300

A: The given paraboloids are: z=-7+x2+y2     and    z=4-2x2-2y2

Q: Find the equations for the lines through the point (a, c) that are parallel to and perpendicular to…

A: Given query is to find the equation of the lines

Q: Convert f(x) = x² + 8x - 4 to vertex form O f(x) = (x+4)² - 20 O f(x) = (x-8)² - 4 O f(x) = (x+8)² -…

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Q: 3x+4 2.. Compute the following integral using partial fractions decomposition: (x²+4)(3-x) Start by…

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Q: Determine whether the sequence converges. If it does, find the limit. (-1)" In n (a) an = 5n³ (b) an…

A: We have to find whether the sequence converges or not.

Q: Which of the following is the partial derivative with respect to y of the function: Select one: fy O…

A:

Q: A fluid moves through a tube of length 1 meter and radius r = 0.004±0.00025 meters under a pressure…

A: Given that r=0.004, ∂η∂r=0.00025, p=2×105, ∂η∂p=1000v=0.875×10-9, ∂η∂v=0And η=π8pr4v

Q: Integrate sinx given integral by 20 2 w5 x= sing the using sin: 1 + si

A:

Q: 3. Given 5y +4x² = 4x-y, find: dy dx a. b. d²y dx²

A: Derivative

Q: Suppose that f(x, y) = √√5² - x² - y² on the domain D = tr=5 O = {(x, y) | x² + y² ≤ 5²}. Q Then the…

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Q: For the given function, find the critical points c and the intervals on which the function is…

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Q: Find an equation of the tangent line to the curve y² 36 = 1 (an ellipse) at the point (-1,-3√3). An…

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Q: Simplify the ratio of factorials. (9n + 1)! (9n + 3)!

A: Given: (9n+1)!(9n+3)!

Q: ex \e=-2) (e²+1) dx

A: To find integral

Q: 2. Use the graph of f(x) given below. A. Find the value of each definite integral using the graph of…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 4. Find the solution to the initial value problem y'= 5(2-y), y(0)=5. Report solutions in y equals…

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Q: 2 [ (31² - 4t + 7) dt Find the answer of the given integration

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A: Given :- S=a+b2+4a+b-22+16a+b-42

Q: Identifying Trig Ratios (Diagram), Level 1 Mar 20, 6:59:24 PM Find the value of cos K rounded to the…

A: Given query is to find cosK.

Q: A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the…

A:

Q: The line ℓ is given by the equations x −2y + z = 2 and x + y −3z = 4. That is, ℓ consists of all…

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Q: Suppose sin x = Then COS X tan x 36 85 and is an angle in Quadrant 4.

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Q: Evaluate the Integral SSS (1/(x2+y2)1/2) dydxdz The s' are the integration symbol cannot fit…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: I have appended the formula used in the solution part of the question