d. e. lim f(x) X→→2+ y = f (x) f. lim f(x) g. lim f(x) x→-2 X→-0 h. lim f(x) i. f(-2) X→+∞ 2.

Q: 1. Find the integral

A: Topic:-  calculus

Q: Sove the differential equations 3x²y 2 dx + (2x3y +x³y^)dy

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Q: 2. Evaluate: 3 dr. 2x – 14 (Use limits and avoid words such as undefined; take care to state your di...

A:

Q: 1. Consider the region bounded by y = x and y = vVa, shown below. Find the volume of the solid obtai...

A: Volume=13π15 cubic units

Q: Sketch the graph of f(x) = x2 - 9, x =< 4 f(x) = 8x - 25, x =< 4 Is f(x) continuous at x=4? Expla...

A: To check: Whether the functions f(x) = x2 - 9, x≤4 and f(x) = 8x - 25, x≤4or not. . Solution: Sketch...

Q: ý dy マ/2 y+16

A: Given that: ∫y2dy(y2+16)3/2

Q: Find the cosine of the angle between the planes  x + y + z = 0 and x + 4y + 3z = 2.

A: The two planes be  a1x+b1y+c1z+d1=0a2x+b2y+c2z+d2=0 let the angle between the planes be α  Then cos ...

Q: Regarding y as the independent variable and æ as the dependent variable, find the slope of the tange...

A: We can find the slope at the indicated point as below

Q: If f is continuous and f(x)dx = 4, find So xf (x?)dx. %3D

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Q: The count in a bacteria culture was 800 after 15 minutes and 2000 after 35 minutes. Assuming the cou...

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Q: Evaluate the integral. 1 2187 19683 3e° 2187 e 4

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Q: Solve the linear differential equations d²x dx + 2 + dt2 dt dx + 5x = 8e-t when t = 0, x = 0,- = 8 d...

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Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

A: The given function f(x)=arc sin(2x) at the point 24,π4

Q: 4) metabolic rate (kcal/h; tog scale) Biologists often investigate relationships between properties ...

A:

Q: Find the derivative of the function using the definition of derivative. V F(v) = v + 9 F'(V) =

A: NOTE: Refresh your page if you can't see any equations. . substitute v+h for v

Q: write the slope-intercept forms of the equations of the lines through the given point parallel to t...

A: This is a question related to equation of line and slope passing through particular point.  General ...

Q: b) S sin 2 x cos x dx

A:

Q: group homomorphism preserves identity i.e. for any homomorphism, f :G → G' , if e is the identity el...

A: Proof be attached in second step hopefully you understand.

Q: Due to depreciation, the value of an automobile t years after purchase is f(t) = ((900 + 6t / 1+0.5t...

A:

Q: Determine if continuous f (x) = V4-x at x=0 %3D

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Q: A local company makes two flavors of jam—strawberry and raspberry. Both flavors are sold through thr...

A: Here is the solution

Q: Solve the following DE, using Separable method. y'In ly| +x*y =0.

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Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

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Q: Sove the differential equations ( 6x-3y+2) dx = (2x-y-1)dy when x=2, y xp z+ he-x9)

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Q: Consider a wizard hat (infinitely tall) obtained by the solid of revolution obtained by rotating thi...

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Q: dt 七

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Q: Write the correct derivative of the following. 1. - cos^-1 x 2. csc x + 3 sec x 3. x² tan x

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Q: Find the real root of x2ex= 1 by Newton-Raphson Method. The function is lying between [0.5,1], corre...

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Q: In this calculus question, Find the equation of the tangent line and normal line to the graph of the...

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Q: 16 P(2, 1) is a point on an ellipse with foci (3, 0) and (-V3,0). Find the equation of this ellipse.

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Q: The equation = xy? +2y +x-4.5 with the initial condition y(x = 0) = 1 is to be solved dx %3D using a...

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Q: Diego mixes together three types of vitamin tablets.  Each Super Vim tablet contains, among other th...

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Q: Find the solution to Integro-Differential Equation.

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Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = cot ...

A: Use the definition of asymptote 

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In ...

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Q: Evaluate the integral į. (1 – x? – y?)dA R

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Q: Use the method of undetermined coefficients to solve y''- 4y'+3y = x^2+ 2x-3e^3x.

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Q: is a collection of observations and considered as building blocks of statistic science. A. Data C. V...

A: We know that, Statical Science is branch of mathematics deals with collection of facts/information/d...

Q: Consider cos 0 d0. What is the best-fit parabola to cos e using the (a) three points 69 = 0, 01 = 7/...

A:

Q: Find an equation of the plane. the plane through the point (9, 2, 5) and with normal vector 3i + 5j ...

A:

Q: Sketch the level curve for f(x, y) = 36 – 9x? – 12y2. '36— 9х2 —

A: Given function f(x,y)=1236-9x2-12y2

Q: Find the volume bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

A:

Q: g(x) is the graph of f(x) shifted down 3 units and left 4 units, write a formula x)= ter Vx as sqrt(...

A: Given: f(x)= 4√x

Q: xp (1 +x) *+1 dx= 3. Evaluate.

A:

Q: Show that V is a subspace of R3: V is the set of all (x, y, z) such that z = 2x + 3y

A: Show that V is a subspace of R3 : V is the set of all (x,y,z) such that z= 2x+3y.   

Q: Find the DE of each of the following by eliminating the arbitrary constants. y = ln tan(x – A)+B

A:

Q: Sove the differential equations (2y- 2x + X 1+ x²yz

A: Check given differential equation is exact or not. i.e.    My = Nx

Q: Use the linear approximation to estimate Af = f(3.2) – f(3) for f(x) = 13 1+x? (Use decimal notation...

A: NOTE: Refresh your page if you can't see any equations. . take x=3 the point on the curve is 

Q: Suppose f(x) > 0 and that f(x) is continous on [a, b], then the expression f(c) = a Sa f(x) dæ state...

A: Given that: f(c)=1b-a∫abf(x)dx

Q: On the graph of f(x) = cot x and the interval 27,47), for what value of x does the graph cross the -...

A: We can find the answers as below