Use a finite sum to estimate the average value of f(x)=x³ on [0,2] by partitioning the interval into for subintervals of equal length and evaluating f at the subinterval midpoints.

Q: do The marginal cost of printing a poster when x posters have been printed is 1. dollars. Find c(196...

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Q: The function f, shown below, is comprised of a semi-circle and piecewise linear segments. What is th...

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Q: ind the area of the region bounded between the curves (make sure you draw the picture). -2x =) y = e...

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Q: 2dt (t – 3)vt² – 6t +5

A: Given: I=∫2dtt-3t2-6t+5   ...1   As we know that; ∫11+x2dx=tan-1x+C    

Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time....

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Q: Identify all singular points and points of discontinuity of the given function. (Enter your answers ...

A: The given function is  f(x)=9-xif x≤9x-9if x>9

Q: Use the indicated substitution to evaluate the integral. -3 cos x sin (sin x) dx , u= sin x 3 sin (s...

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Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the ...

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Q: Prove the identity It tanh(x) tanh (x), 2x

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Q: 4.x+xy? y-x²y ,2 dy dx

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: Determine the global extreme values of the function f(r, y) = 4x³ + 4x²y + 2y², x,y > 0, x + y < 1

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Q: • Solve the separated functions when (i) k = 0 (ii) k #0 a²x kX(x) = 0 a2x2 %3D

A: For (i), k=0.     ∂2X∂x2-kX=0⇒∂2X∂x2=0Integrating once,⇒∂X∂x=c1Integrating again,⇒X=c1x+c2

Q: Use the difference an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly...

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Q: Evaluate: O-0.05+j0.602 O -0.05-j0.602 O 0.05+j0.602 0.05-j0.602

A: To find: jjjj We'll use the formula: j=ejπ2.

Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: In February, Apple stock rose from $120.69 to $164.85, while Tesla stock increased from $675.50 a sh...

A: Given:- In February, Apple stock rose from $120.69 to $164.85 Tesla stock increased from $675.50 to ...

Q: f(t)=t^2+7t+2 Find the equation of the line tangent to the graph of f(t) at t=5. y =

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Q: Find the limit of the function along the x-axis xy lim (x.y)-(0,0) x2 + y?

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Q: 25. Evaluate the following definite integrals. dy d) (y+2)

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Q: Show that ri =1+i, r2 = 1-i is a solution of (3+ i)x + (1+ i)x2 = 4 +4i %3D

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Q: Simplify the following trigonometric expression. cosx(secx- cosx)

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

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Q: dx 9x2 - 12x-5

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5q + 6000. ...

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard ...

A: Topic = Integration

Q: A triangle having an area of 22.62 cm2 is inscribed in a circle whose radius is 6 cm. If one of the ...

A: Given query is to find perimeter of the triangle.

Q: Evaluate using substitution techniques

A: Given

Q: Write the first five terms of the sequence: 13 ln n n n=1 Determine whether the sequence converges, ...

A: Given

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: A. Fill in the table and guess the value of the limit. 1. lim f(x), where f(x) = %3D f(x) f(x) 1.002...

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Q: 12. Solve the following inequalities. a) -7x + 8 < 4x - 2 b) (3- 4x)(x + 1)(7 – 2x) <0 6x-9 c) 3x-2 ...

A: For (a),     -7x+8≤ 4x-2⇒-7x≤ 4x-10⇒-11x≤ -10⇒x≥1011 For (b),     3-4xx+17-2x≤ 0⇒x≤ -1  or  34≤ x≤72

Q: In getting the derivative of a rational function, just get the derivative of

A: Topic:- derivatives   

Q: A discrete random variable X has the following probability distribution: 3 4. 1 2 P(X) y 9 1. Find y...

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Q: DIFFERENTIAL EQUATION Find the differential Equation of the family of the curves described. Draw at ...

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the r...

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Q: Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places acc...

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Q: Suppose that f is a linear function with slope 2.2 and that f(5) = -3. What value of x gives f(x) = ...

A: We have to find out x value for which f(x)=0

Q: Find the volume V of the described solid S. The base of S is a circular disk with radius 4r. Paralle...

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Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? Ox =...

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Q: iven f(x) = Find x+h)-f(x) h+ 0. h

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Q: Find the critical points of the following. 1. g(w)=2w3−7w2−3w−2

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: 2. 3. yo. %3D CX %3D

A: Let's find. 

Q: dt 4e-t – et

A: I =∫dt4e-t - etI =∫et dt4 - e2 tet = uet dt = duI = ∫ du4 - u2

Q: 20. Which of the following statements are FALSE? dy 2л -5 I If y = In (7 - 5x), then de 7 - 5x 3e3x ...

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Q: 16 d.x x² Va2 + 49 Evaluate the integral: (A) Which trig substitution is correct for this integral? ...

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Q: Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always three...

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