Evaluate the limit below. 36 – x2 - 6 lim 5x

Q: Determine the interval(s) on which the function is continuous: 2r+ 7 212-3x-9 if x 1/2 Ox1/2 Ox1/2…

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Q: Find dx (1 – x²)³/2 + c Vx2 – 1 V1 – x2 Option 3 Option 2 Vx2 – 1 + c V1- x² - Option 4 Option 1

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Q: Evaluate * e2x sin e" dx : -e*cos(e*) + sin (e*) + c e*cos(e*) – sin (e*) + c Option 1 Option 3…

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Q: 1. Given: x(x+8)(x – 2) (x+ 2)³ 8(7x – 4) (x+2)ª ° f(x) = (x+ 2)² ' and f"(x) = with f'(x) = d.…

A: Function is undefined at x= -2   Interval f' (-∞, -8) +ve -8 0 (-8, -2) -ve (-2, 0) +ve…

Q: Show that the lines L1 : x = 4 – t, y= 2t, z = 5+t and L2 : x = 1+4t, y= 3 – 8t, z= 5 – 4t are…

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Q: A) If (xn) is a decreasing and bounded sequence. Prove that (xn) is convergent with lim Xn inf {xn :…

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Q: ∫sec^2 x / tan x +1  dx

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: What is the radius of convergence the power series solution to: for Cx?+Qx+17)y"+y?-y=0,centered at…

A: The given differential equation: x2+2x+17y''+y'-y=0 can be re-written as…

Q: Find parametric equations of the line through (-1, –1, 6) that is parallel to 2i – 4j+k. x(t) = y(t)…

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Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: |. IF A FORCE OF 80 lb STRETCHES A 12t SHRink Ift. FIND THE woRk DONE IN STRETCHING IT a) PRom Izto…

A: work done = force*displacement here  a from 12ft to 15 ft  3 ft displacement  work done = 80*3 = 240…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find 3x? arctan x dx.

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We are given a function  f(x) = e-x sin(x) -e7x cos(x)  We have to find a linear differential…

Q: In x 35. lim

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Q: n equation of the plane with the given characteristics. y – 4 The plane passes through the point…

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Q: Please solve and show full work

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Q: Find the following limits or determine that they do not exist: a. lim,o x| b. lim,0.r>0 2+ |x c.…

A: Since this is a multiple subpart question according to the Bartleby answering rule only first three…

Q: [x² In x dx

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Q: Determine whether the planes are parallel, perpendicular, or neither. Зх — 12у — 9г — 3 %3D 0 (a)…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1,…

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Q: 12) The solution of 2lnx-In(x+ 2)=In2 is a) 0 b) 1 c) {-1,4) d) 4 e) поп 13) sin( 2 csc"1(2)) = b) -…

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Q: Solve the differential equation by variation of parameters. 2y" — 4y' + 4у %3D е* sec x y(x) = %3D

A: Solution is given below:

Q: Use the chain rule to find dy/dx for th following (a) y= (3x^2 - 13)^3

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Q: sec*(x) dx. Vtan(x) a) Vtan(x)[5 + sec²(x)] b) V sec(x)[5 + tan² (x)] c) V tan(x)[6 + tan? (x)] d)…

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Q: The sum of 2 numbers is 15. Find these numbers if their product is a maximum

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Q: C. Trigonometric Substitution. 9-у 1. dx 2. e2x+1 r2+VZ 3. (2+vz х. 4х — х2

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Q: 1 (5* )csch dy x+1 1. (а) if Find dx x > 0. y = (ecosh S* ) In(Vx² +1

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Q: Determine whether the following equality is true or false. 2-x2 D -1 x where D = {(x,y)| xr² + y²…

A: ∫∫Df(x,y) dA = ∫x1x2∫y1y2 f(x,y) dy dx.

Q: If A = and B = find AB, BA, A? = AA, and B2 = BB. (If an answer does not exist, enter DNE into any…

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Q: Determine if the following statement is true or false. The points P1(12, 9, 7), P2(6, 4, 0), P3(0, –…

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Q: Find the x-coordinate of the inflection point(s) of y = f(x)

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Q: Evaluate the limit below. - 2x2 + 13x – 21 lim x→3 х — 3 -

A: limx→3-2x2+13x-21x-3apply L hospital rulelimx→3-2(2)x+131limx→3-4x+13

Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of…

A: Here, De can be written as: y''+14x2y=0⇒P(x)=0, y1=x12ln(x)

Q: B) By using (A), Find lim /-

A: limn→∞1n

Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

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Q: Consider the following planes. 3x + 4y - z = 28 x - 8y + 2z = 0 (a) Find the angle between the two…

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Q: 11) The Inverse of ()= *-1* a)(x) 3x-1 b)/(x) log2(x) d)f(x)= log3(Vx+1) e) non

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Scalar Projection of AP on AB is defined as AP→.AB→AB→

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: Use logarithmic differentiation to find dy/dx. x² – 4 x2 + 4 - y = x > 2 dy dx II

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(8,…

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Q: In dx

A: Given: I=∫lnxx2dx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Suppose f( – 1) =7, f'(– 1) = 4 , and g(x) = r°f(x). The tangent line to g(r) at z = 1 is given by Y…

A: Given: gx=x3fx, f-1=7, f'-1=4   The expression for the equation of the tangent line is: y-y0=mx-x0…

Q: I. DIRECTIONS:Compute for the degree freedom of the given data 1) n = 26 = df = 3) n = 18= df = 2) n…

A: We have to compute for the degree freedom of the given data  (1) n = 26 ⇒ df =

Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

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Q: Solve the exponential equation by taking the logarithm of both sides. Express your answer in exact…

A: Given

Q: lim (In ( V13x² + 9 (x) uj - (6+ - In X00 (Express numbers in exact form. Use symbolic notation and…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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