Find f'(x) if eſ(x) = 1 + x². f'(x) = 2x(1 + x2) f'(x) = 2x(e1+**) Option 1 Option 3 2x f'(x) = 1+x2 f'(x) = 2x In(1 +x?) Option 2 O Option 4

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Q: Find the Laplace transformation of coskt+t3/2+t/2

A: laplace transform of coskt + t3/2 + t1/2 = s/(k2 +s2 ) + 3π/4s5/2 + π/4s3/2  transform of function a...

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Q: dx Evaluate J 2/4+x²

A:    ∫1x24+x2dxLet x=2 tan u.=∫secu4tan2udu=14·∫secutan2udu=14·∫cosusin2uduLet v=sin u.=14·∫1v2dv=14-1...

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A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

Q: Find the antiderivative, G(t), of the function g(t) = (3n?t? – t4)V3n2 – t2.

A: g(t)=3n2t2-t43n2-t2To Find: Antiderivatve G(t) of the function. i.e. we need to find the integral of...

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A: Here we check the convergence of the given Integral.

Q: Ja 1. Suppose a < b< c, solve: i. (x) - g(x)]dx ii. (x)dx

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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: To find out the distance from the point P to the line through A and B.

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Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (х — 2) %3D 4(у + 2)...

A: Given that the area is bounded by x-22=4y+2 and y=-1.It is required to find volume generated by revo...

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Q: Let f(x) = 2x² 11a + 4 - The slope of the tangent line to the graph of f(x) at the point (2, 10) is ...

A: This is a problem related to derivative of the function. Please follow the procedure given below.

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

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: 2. Scientists can determine the age of ancient objects by a method called Radiocarbon dating. The bo...

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Q: (a) lim tanh(x) (b) lim tanh(x) (c) lim sinh(x)

A: As per our guidelines, we are supposed to answer only the first three subparts. Kindly repost other ...

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

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Q: Evaluate (2 cos x-sin x)² -dx sin x

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Q: Use the Root Test to determine if the series converges or diverges (-1)"2* (-1)"2ñ zuć en? (2n2 – 1)...

A: Given problem:-

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

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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Q: Question 8 x²dx Evaluate x²Vx2 -4

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Q: Is the series divergent, absolutely convergent, or conditionally convergent

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Q: erivatives an x Lesson 4.1a Certify Mode Questi x Lesson 4.1b Certify Mode Questi x A learn.hawkesle...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x2 + ...

A:   Intersection points:  x2 + y2 - 4ax = 0                                                          ...

Q: Find two unit vectors in 2-space that make an angle of 45° with 5i + 4j. NOTE: Enter the exact answe...

A: We have to find two unit vector as given in the question. 

Q: Find the volume generated by revolving bout the line x = -1 the area bounded by (y + 2)? = 4(x + 2) ...

A: Let R be the reion bounded by y+22=4x+2 and x=-1.We have to find the volume generated by revolving t...

Q: 12. f (x) = x³ – 2x² + x – 1 ; (-4,5)

A: Function is called as an continuous if its right hand side and left hand side limit is equal.

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Q: Which of the following equations is an exact DE? O (10x^2 +5)dx-20xydy%3D0 O (2xy-3x^2)dx+(x^2-2y) d...

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Q: Consider the series ke-h? k=1 a) Enter an integral whose convergence or divergence is equivalent to ...

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Q: y x, y+ 2x = 8. Identify the volume generated by revolving amd y = 0, rotated about the y-axis.

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Q: Solve for the projection of the vector P = (3,4, 4) onto Q = (0, -2, –5). What is the exact measure ...

A: Given, P = &lt;3, 4, 4&gt; and Q = &lt;0, -2, -5&gt;  

Q: 8

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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: This question can be solved as per the instruction given.

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Q: -3x 8 f(x) = - 5x + 8 - Step 2 of 2: Evaluate f "(3), f "(10), and f "(-2), if they exist. If they d...

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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.