find the fur pose of the function- and give the reason. メ * x²4+ 3× メ

Q: Let fx) = 10x +4-15 ex, Then the equation of the tangent line to the graph of fa) at the point (0,-1...

A: I am attaching image so that you understand each and every step.

Q: Use implicit differentiation to find y' and then evaluate y' at the point (4,5). y-8x2 +3=0 y' = %3D...

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Q: (D² – 1) y = e-2* sin (e-*)

A: I am attaching image so that you understand each and every step.

Q: Integrate the function. dx x2+ 8x + 32 A (2x + 8}In]x2+ 8x + 32|+ C B X+4 tan + C 4 sin + C (*+4) X+...

A: First simplify then use the formula of integration and get the final result 

Q: x'- x - 3x - 2 dx 4 x* - x' + 4x- 4x .3 |

A: To find out the integration of the function given. 

Q: The functions f(x) = −(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 have been rewritten using the completing-...

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Q: A population P obeys the logistic model. It satisfies the equation dP 7 Р(11 — Р) for Р >0. 1100 dt ...

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Q: Suppose D is the region bounded between the z-axis, the curve y = e", and 0 <I<1. Compute the integr...

A: Use simple integration formula.

Q: 15. S 4cot 5x csc25x dx

A: Student has specifically asked for the solution to Question(15) only. Hence solution to that problem...

Q: y2 – 2y + 3 2.5 Vy3 - 3y2 + 9y – 21 dy

A: 2.)∫y2-2y+3y3-3y2+9y-215 dy=13∫3(y2-2y+3)y3-3y2+9y-2115dy=13∫3y2-6y+9y3-3y2+9y-2115dy=13∫y3-3y2+9y-2...

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

A: The given function,   f(x)=ln x, 0&lt;x≤3

Q: The population of Angeles City in 1829 when it became a separate town from San Fernando is known to ...

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy + 12 ...

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Q: y = 4x2 + 16x + 9

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

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Q: d²y x+2 for y=- X-3 8. Find dx2

A: Differentiate with respect to x. 

Q: 7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010....

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Q: Solve the given differential equation. 25x?y" + 25xy' + y = 0 y(x) = ,x > 0 %3D

A: We have to find solution of given differential equation.

Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n3 + n² + 1 n=1 converges or div...

A: Use the comparison test to determine the series.

Q: 2. Calculate the double integral 2ry dA, where R is the triangular region with vertices (0,0), R (1,...

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Q: Find the points of Intersection of the graphs af the equstions. x-43 -y y-x-1 Sop 1 A polnt of Inter...

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Q: Find the points of Intersection of the graphs of the equations. x+y%= 15 -3x +y%3D 11 (x, y) = (smal...

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Q: 9 Find the length of the curve x = on 3sys5. %3D 27' 4y The length of the curve x = 9 - on 3sys 5 is...

A: We have to find arc length of give curve.

Q: S sin*3xcos*3xdx

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Q: The axes of two circular cylinders of radius a intersect at right angles. Show that the volume commo...

A: 8∫0ady∫0a2-y2dx∫0a2-y2dz = 8∫0ady∫0a2-y2dx (a2-y2)8∫0ady∫0a2-y2dx∫0a2-y2dz  =8∫0ady (a2-y2)8∫0ady∫0a...

Q: Kyra is building a dollhouse. The carpet for the bedroom is 27 square inches. The length of the bedr...

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =...

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Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Area of triangle =( base *height )/2 Area of semicircle = (π(r^2))/2

Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: Directions! show the following. f3-x x22 is dircontinuons on the interal (-,2| %3D -3

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Q: Find the laplace transform of f(t)= { t 02

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Q: 1. Use the given pair of functions to find and simplify expressions for the following functions. f (...

A: topic -  function

Q: sinh x + cosh x)ª= e4x

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Q: 3. у %3D — 4(х + 2)2

A: To find out the maxima and minima.

Q: Q– Fin the surface area of the portion of the paraboloid z= 6-2x - y that is above the x-y plane (z-...

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Q: Applying the quetient rule, what is w() if hG)-

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Q: Solve x (t) – 2y (t) + z (t) = -3 x' (1) + y' (t) – z' (1) = 2 x' (1) + 2x (1) + z (1) = 1 where x (...

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Q: 2: Find 75, accurate to two decimal places, by using fixed-point iteration.

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

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Q: Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the so...

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Q: Evaluate by any applicable method. T/2 S cos sin y dy 60 120 60 None of the choices. Please refer to...

A: Topic = Integration

Q: 3 sin? 0 4 2 %3D

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Q: 5- Verify the domains and associated ranges of the following functions: a) f(x) = Vx – 3 b) f(x) = v...

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Q: Hw-4 problem SET 2.1 Yeduce to Pirs oreler and solve (1+ Cosn 6 gonod luck a^

A: First we reduce in first order that is integrate on both side.  According to guidelines we solve onl...

Q: Solve by Chain Rule f(V) = /2y + (3y + 4y²)³

A: The answer is in step 2

Q: Evaluate the integral Sr 8ry dA, where Ris the triangle 8x + y 0, y > 0.

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Q: 2. Differentiate the following. Simplify your derivatives as much as possible. f(x)= (3x² – 4) |b) y...

A: As per our company guidelines we can answer only three subpart question at a time so if you nee more...

Q: 2- R 1+ TTX 86. Let R be the region in the first quadrant bounded by the graphs of y = 4 cos | and y...

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