bx a a dy dx

Q: The integral expression: | Ocos20 d0 can be evaluated by parts of the form: udv vdu . =uv – The prod...

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Q: consider a ctosed Kectangutar box with a If base side ir measured with ekror at H.w.y squak bare and...

A: Write the formula for the surface area and volume and then apply total derivative. 

Q: 102 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = a...

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Q: 1+ 2t Find the laplace transform of (i).

A: To find the laplace transform of the folowing function.1+2tt

Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: Find the centroid (, j) of the region bounded by: . y = 3x + 8x, y = 0, x = 0, and x = 6 %3D y =

A: The given problem is solved below in detail.

Q: Suppose that the functions h and f are defined as follows. h (x) = x? -9 f(4) = 2 Find the compositi...

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Q: 2- 3x +8 2-X2C

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Q: The given point P is loc the angle e, also sine, V3 1) P Quad: sin 0: cos e: tan 0:

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Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: Evaluate the integral. 16 In(y) dy Vy

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Q: For the demand function q= D(p)= 346-p, find the following. a) The elasticity b) The elasticity at p...

A: Given q=346-p

Q: 1 dx (2х + 1)4, 8

A: Given query is to find integral converges or diverges.

Q: xsin-xdx The antiderivative of V1-x? sin-!x+C is x- (A True (B) False

A: The given integral,∫x sin-1x dx1-x2

Q: 14 If f(x) : t? dt then f'(x) =

A:

Q: Let a = ci +j and b = 4i + 32j. Find c so that a and b are orthogonal. C = i

A: Recall: If two vectors a and b are orthogonal then their dot product is zero that is a·b=0

Q: ng in such a way that its radius is decreasing at a rate of 0.3 cm/min. At wi wball decreasing when ...

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Q: cos Vi Find the laplace transform of (i).

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

Q: The solution of the given equation (1+x²) y' + 2xy = 4x² is: O y=[(4x^3)/(3(1+x^2))]+C(1+x^2) O y=[(...

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Q: dy Find using implicit differentiation, for the equation a + y=8 is da O O

A: Differentiate both sides with respect to x.

Q: Given the matrix 5 7 Find the Characteristic Equation and find its solutions (aka: eigenvalues). AR ...

A: The given matrix,9-157

Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x = y? + 2y – 1 ...

A: To find the volume.

Q: alculate the curvature of the vector function when t=0.1: 7(t) = (e", V2t, et)

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Q: 700 find the following. For the demand function q = D(x) = - a) The elasticity b) The elasticity at ...

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Q: da dy 3x? – 1 and dt Find at z = 1 if y = at x = -5. dt da dt

A: topic - derivative of a function

Q: 1. Complete the following tables of values to investigate lim(x? - 2x + 4). S(x) f(x) 0.5 1.6 0.7 1....

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Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: Find the equations of the tangent plane and normal line to the surface with equation 9y? + 9z2 = 22 ...

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Q: Given that y, (x) = x-1 and y, (x) = x3/2 are solutions of the differential equation 2x2y" + xy'-3y ...

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Q: Use A = P(1+ where: n A = the amortized amount (total loan/investment amount over the life of the lo...

A: Given query is to find the amount to get double.

Q: Question 6 Evaluate the double integral over the given region. S *+x4 - 3) dA, R: 0 sx s1,0 sy s2 15...

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

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Q: dy dr 2° y0- 13 is Find using implicit differentiation, for the equation - O O O O

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Q: The coefficient of sin ( 2x) in the antiderivative of

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Q: dder the folowing. TX) - V 30 - tch the graph of the function. Use a praphing utlty to vertfy your g...

A: Given query is graph the function and find domain and range.

Q: Calculate the curvature of the vector function when t= -7: 7(t) = (1+ 2t, 7 – 3t, -8 + 5t)

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Q: Question 8 of 8 Use the fact that the volume of a tetrahedron with adjacent edges given by the vecto...

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Q: Find the vector component of v = (4, – 1, 7) alongb = (1, 2, –2) and the vector component of v ortho...

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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 ...

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Q: Find a function y(x) such that 5yy' = x and y(5) = 8. y =

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Q: 2 cos 20 sin? 0 + 2 cos 0 cos 20 sin 0 + cos 20 cos? 0 d0 (use trigonometric integrals)

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Q: Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point ...

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Q: 2. Complete the following tables of values to investigate lim f(x) f(x) -1 -0.8 0.75 -0.35 0.45 -0.1...

A: solution

Q: Given the vector function. Calculates the principal normal vector N(t) when t=6.9

A: Question- Given the vector function. Calculates the principal normal vector N(t) when t=6.9 ?      

Q: If g is continuous at a and f(x)=(x² -a )g(x)., find f'(a). S(x)-f(x,) Hint: Use f'(x1) = lim x-x1 %...

A: Given query to find the derivative at x = a.

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: Given F(x)=2f(xr)-8(x) and fS-1) = 2, f'(-1) = 3,9(-1) = -5,g'(-1) = 4, find F'(-1). %3D %3D

A: The detailed solution is given below Thank you 

Q: Evaluate: " sin7 cos4 dx

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Q: A potato is launched vertically upward with an initial velocity of 119 ft/s from a potato gun at the...

A: