y" + 3y = -48x²e3x

Q: 2. Let E be the piece of the cone z = Va² + y² lying between z = 0 and z = 1, oriented with the 'out...

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Q: 1. SS xy dxdy , O: yob, yox? yoh, y 2 2

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Q: Use a calculator to solve the following equation for 0 on the interval [–90°, 90°]. 3 sin (0) 4 Roun...

A: We can find the value in the interval as below.

Q: ydx + x(Inx - lIny - 1) dy = 0, when x = 1, y = e %3D

A: Given :     ydx+xlnx-lny-1dy=0,        when x = 1 , y = e that means y1=e

Q: Find the slope of the tangent to the curve, y = 2x – x² +x° at (0,2).

A: Given curve is  y=2x-x2+x3.  We have to find slope of the tangent to the curve , at (0,2 ). To find ...

Q: Question 9 What is the exponential form of the complex number 4 + 3i A) 5 e 153,130 B) 5 e 136,870 C...

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Q: What is the algebraic form of the complex number 13 e (A) 12+5i (в) 5-12i c) 12-5i D) 5+12i

A: We can find the exponential form of the algebraic expression as below.

Q: Use the difference an+1 – an to show that the sequence {n – 2"}n=1 - is strictly increasing or stric...

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Q: integral f theta^2  cos 3(theta)   d theta

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Q: y" + 4y = 4 cos x + 3 sin x – 8

A: For particular integral of cos ax or sin ax we put       -a^2 in place of D^2 in F(D)

Q: Use the Integral Test to determine whether the infinite series E 41 is convergent. (Use symbolic not...

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Q: Question Select your answer. 3, Given f(x) : if I< -2 if – 2<a < 8 , estimate -2 I +3, if lim f(x). ...

A: Topic =Limits

Q: 2. Let E be the piece of the cone z = 'outward' (pointing away from the z-axis) normal. Let F be the...

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Q: Find the derivative of the function. y = a6 + cos6 x y'(x) =

A: Given

Q: Extension Question 2: What would happen if there was a cubic function inside the logarithm? Explair ...

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Q: Find the Taylor series generated by f at x = a. f(x) = 2*, a = 3 Choose the correct answer below. 8(...

A: Taylor series of a function f(x) about x=a is given by, f(x)= ∑n=0∞an(x-a)n , where an=fn(a)n!, wher...

Q: 25.) Find the radius of curvature of a parabola y? - 4x = 0 at (4,4).

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10" Σ...

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Q: 3. Suppose a feather is dropped from a height of 40 m above the surface of the moon, its height s (i...

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Q: ven the side length b = 9 and the angle B = 43° on the triangle below, find the lengths of a and c a...

A: Given query is to find the value of a,c and A.

Q: Find the differential of each function. (a) y = etan(nt) dy = (b) y = V4 + In(z) dy =

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Q: Evaluate the improper integral. (Use symbolic notation and fractions where needed. Enter symbol co i...

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Q: If f(w) tan (3w), find f' (w). Use exact values. f'(w) : %3D

A: We will find the exact value of f'ω when fω=tan-13ω in the following step.

Q: ) Show that the gradient of a scalar function f is a vector along the normal to the level rface whos...

A: Follow the procedure given below.

Q: integral f t^3 In t dt

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Q: 1) appropriate and explicit substitution: Reduce the following integrals to polynomial type integral...

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Q: 3. Use the given acceleration function to find the velocity and position functions, and then find th...

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Q: 23.) A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How f...

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: Find an equation of the tangent plane to the given surface at the specified point. 3.  z = 2x2 + y2 ...

A: Given that: z = 2x2 + y2 - 5y, (1, 2, -4)

Q: b) y = 1 - v 1 + v2 -82 dv dy = 1+v

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Q: rsin 28x /ī+ t² dt and If f (x) = So g (y) = ' f (x) dæ., what is g" (6s )? 168

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Q: The graph of f (x) is given by 3 Determine the following limits. Write your answer in the form lim f...

A: The graph of the function fx is given by Condition for the limit to exist:  limx→c-fx = limx→c+fx T...

Q: Find the derivative of the function. y = cot2(sin ?) y' =

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Q: The great Swiss mathematician Leonhard Euler sometimes reached incorrect conclusions in his pioneeri...

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Q: Use a linear approximation (or differentials) to estimate the given number. (1.999)5

A: Given problem:- Use a linear approximation (or differentials) to estimate the given number. (1.999)5

Q: Consider the series 1 Σ n(n + 5) n=1 Determine whether the series converges, and if it converges, de...

A: Series

Q: use implicit to tind the eguation of the tangent line tothe Ealloming differentiation Curve at' the ...

A: Topic = Derivative

Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Sequence and series. 

Q: For y = sqrt of 5x+8 ***As in 5x+8 is all under the square root symbol.   find dy, given x=2 and ...

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Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: -1 cos COS 2)

A: Given: - The expression is, cos-1-12 To Evaluate: - The solution of the given expression.

Q: Derivation of a formula of volume cone (using Calculus, in two different ways).

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Q: Given the triangle below, find the angle 0 in degrees. Round to the nearest degree. 17 9 Provide you...

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Q: 10. Show that the function f(x, y, z) = 2z³ – 3z(x² + y²) satisfies the Laplace Equation, = 0

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Q: ind the (explicit if possible) general solution of thls ODE: dy + x2 + y? 0. x2 + y? dx

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Q: Given the triangle below, find the angle 0 in degrees. Round to the nearest degree. 17 9 Provide you...

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Q: Consider the differential equation 2 = Let y = f(x) be the particular solution to the given differen...

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Q: Solve 3y fip %3D dr 2x

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Q: Find: Zx, Zy, Zxy Zyx , Zxx Zyy Xy 군= e Lny

A: