The slope of the tangent line to the curve y 2x at the point 2, 16) is:

Q: -T/2 Evaluate using Wallis' Formula: sins x cos6 x dx

A: Use Wallis formula.

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Q: Find the length of the arc of the curve 4y² = 9x³ from the origin to the point (2,3v2).

A: Arc length of a curve y=f(x), x∈[a,b] is given by,          L=∫ab1+y'2dx ∫xndx=xn+1n+1+C, C is a c...

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k² = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: Find the area of the parallelogram that has u = i - 2j + k and v = 3j + k as adjacent sides. NOTE: E...

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Q: Q4. Approximate the value of f xv2x² + 1dx using the trapezoidal rule with n = 6. Compare this resul...

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

Q: You and a friend are using a ramp to load furniture into a truck. The last piece of furniture to be ...

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Q: x dx

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Q: Find the area bounded by y = sin²(x) and y = sin³(x) from 0 < x<. %3D

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Q: 11. A gate in an irrigation canal is constructed in the form of a trapezoid 3 ft wide at the bottom,...

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Q: Do not write beyond this border. 3. 2. 1. Do not write beyond this border. ecessiv 3. 3 3. NO CALCUL...

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Q: 11. Which model seems most appropriate for this scatter plot? a. linear b. quadratic c. exponential ...

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Q: xydx – (x² + 2y²)dy = 0 ||

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Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: 1. х +Зу %3Dу? +4 А. - в. В. С. D. 3-2y 3-2y 2-3у 2-3у 2. 4у- 2х 3 Зx? 3x+1 2x+1 2x+1 3. А. 3x+1 в. ...

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Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.

Q: Evalunte the Indefinite Integral by Integration by part |(x- 3)e" dx

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Q: 16. Sketch the parametric curve x = Vt, y= sin t, 0<t< 2n. (b) (a) 1.0 (c) 101 1.0 0.5 0.5 0.5 05 10...

A: The graph of the parametric curve x=√t, y=sint , 0≤t≤2π is given as below,  

Q: T/2 Evaluate using Wallis' Formula: sin? x cos5 x dx

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Q: ха + ах — 2bx -2ab — х3 — 2ах* — 2bx? x* + ax³ – 2bx³ – 2abx² dx

A: Given integration is: ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx

Q: 3. A rectangle with a fixed perimeter of 64 units is rotated about one of its sides, thus sweeping o...

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Q: 2n + 2 (a) E(-1)"+1. Vn3 + n² + n n=1

A: The given series is: ∑n=1∞(-1)n+12n+2n3+n2+n Now, let  an=(-1)n+1(2n+2)n3+n2+n &amp; bn=nn3=1n32-1=1...

Q: 4. What is (Cos (x²)} dv 5. What is (tan x³) dx 6. What is (In x)7 dx

A: To find out the derivative.

Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the following equations1. 4x2-3y2-2z2=02. 25x2-100y2+16z2=-400

Q: 2x + y -4 44. -2y + 4z 0. 3x - 2z = -11

A: 44. Solution :2x+y=-4   .... 1-2y+4z=0 .... 23x-2z=-11   .... 3equation 2 1+24x+2y-2y+4z=-84x+4z=-8x...

Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: Find the derivative. y = arctan(4 tanh(x)) y' = Need Help? Read It

A: differentiate y with respect to x. to get the results.

Q: A number x is selected at random from the interval [4,20]. The probability density function for x is...

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Q: 8. What is dx (x2+8)3

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Q: (Q.2) Describe how to use the weighted residual method (2-term polynomial approximation) and write d...

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Q: -4 8-y y dx dy J2 y

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Q: Evaluate fx Vx + 10 dx

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Q: dy If y = x. 5* then dx

A: To find the derivative of the given function.

Q: S tan bxsec³bxdx

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Q: Find the real zeros of each polynomial. 11. f(x)=x-2x2-5x+6 12. f(x) =x' +2x'-12x-40x-32 13. f(x)=x'...

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Q: Consider the fünction: f(x) = 5x + 15x² - 5x- 3 %3D Step 1 of 2: Determine the intervals on which th...

A: Concave up if f"(x)&gt;0 Concave down if f"(x)&lt;0

Q: Find the antiderivative, G(t), of the function g(t) = (5n²t? – t*)v5n2 – t2.

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Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms:...

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Q: Evaluate S sin? 2xdx

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Q: In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a m...

A: Given density function of time t in second for a rat for its way through maze  f(t)=0.04 e-0.04t

Q: Prove the identity. cosh(x) + sinh(x) = e* First, use the definitions of the hyperbolic functions, a...

A: Prove the identity cosh(x)+sinh(x)=ex

Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: Find the volume of the solid generated by revolving the area bounded by x² – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

Q: Evaluate f 1+cos 4x dx 1-cos 4x

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Q: Consider the parallelepiped with adjacent edges u = 5i + 5j + k v = i+j+ 8k w = i+ 5j + 7k Find the ...

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Q: Find the average distance from the origin of a point between the two spheres x ^ 2 + y ^ 2 + z ^ 2 =...

A: We have to find average distance from origin of a point between the two given spheres. 

Q: Find the critical point and determine if the function is increasing or decreasing on the given inter...

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Q: 8. On a warm day, the temperature of a room is 23°C. A biological sample is taken from cold storage ...

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Q: 4 antegrate the ff 2. (ax-6)*dx 2. (x2 +5x DISTRI BUTI VE PROP.

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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