Determine the derivative of h(x) = 15 arctan

Q: Find the volume of the solid generated by revolving the region bounded by the parabola y = - and the...

A:   Volume can be calculated as:V=2∫03 A(x) dxV=2∫0 3πR(x)2dxV=2∫03π-x292dxV=2π81 ∫03x4 dxV=2π81 x5503...

Q: I[ Tv° dz dy = x dx dy = y? x dx y dy

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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 using the method given. 

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

Q: ind the general solution of the following equation. Express the solution explicitly as a function of...

A: Given query is to find the solution of the differential equation.

Q: I- 4 must be simplified to lim (VI + 2) in making the value of the limit exist. Which The lim 2+2 VI...

A: topic - factors and limits

Q: Two fixed sides of a triangle are 13.3 m and 23 m in length and the angle between them is increasing...

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Q: Compute the partial derivative of h(x, z) = e4xz-3x²z. (Use symbolic notation and fractions where ne...

A: In this problem first we need to partially differentiate the function with respect to z and then put...

Q: Væ = 7, – 7

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Q: ng of a drug in a person's system t hours after the drug is administered, what is the peak concentra...

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Q: Let f(x) = and calculate V35-z+1 dr by using integration by substitution. What was your substitution...

A: substitution method find integration

Q: f(x)=3x^5−10x^3+5, on what intervals is f′′(x)>0? Enter the (disjoint) interval(s) below using 'U' ...

A: Given query is to find the interval where f" is greater than zero.

Q: Evaluate the integral using integration by parts. Indicate the u, du, dv, and v. Full solution.

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Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an equati...

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Q: Explain what is indicated when you determine that a function has the following two conditions. Write...

A: Take an example of the function which satisfy the given conditions then explain it. 

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim 5 + i= 1 O...

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Q: Recall that, for any continuous function f(x), the definite integral f(x) dæ gives the area under th...

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Q: m If f is a probability density function of a continuous random variable x over [a,b], then the medi...

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Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axis are equal in length O ...

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 − 3x2 ...

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Q: Graph the piecewise-defined function. x-3 if x55 f(x) = 2 if x>5 Choose the correct graph. Oc. OD. O...

A: here is the function divide in two part first <5  and second is >5 so for >5 function is co...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: topic - vectors

Q: Use the chain rule to find the derivative of 12 f(x) = 2(50 - 2x) You do not need to expand out your...

A: By using chain rule to find the derivative of the given function.fx=25x10-2x812    

Q: The graph below is the function f(r) 5+ 4- 3. -5 -4 -3 I 2 3 4 5 02+ -3+ -4 -5+ Find lim f(x) = I→ -...

A: limx→-1-f(x)=2limx→-1+f(x)=2

Q: 5. [4e2xdx

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Q: 33 Calculate the volume of the solid produced by rotating the region enclosed by about the y-axis y ...

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Q: Differentiate, hcx) = In (x-Vr

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Q: Consider the function f(x) = 3- 7z, - 4 < ¢ < 1. The absolute maximumn value is and this occurs at T...

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Q: Find the point of Inflection of the graph of the function. (If an answer does not exist, enter DNE.)...

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Q: f (x*) and G(x) = (F(x))* . Let F(¤) You also know that a' = 5, f(a) = 3, ƒ'(a) = 9, f'(a*) 13 Then ...

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Q: Find of the function given implicitly and evaluate the derivative at the given point. y = sin ( 8x+ ...

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Q: Solve the quadratic equation

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Q: Use the cross product u ✕ v to find the obtuse angle between vectors u and v, where u = −i + 6j + ...

A: The answer is in step 2.

Q: Find the Taylor series for f(x) centered at 9 if Fln)(9) = (-1)"(n+1)! In(9)6"

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Q: x² +8x – 4 -dx = Inx + aln(x - a) – aln(x + a) + C x³ – 4x 7. x+1 1 + bln - x³ (x – 1) 8. 4xdx 3 a+ ...

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Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is: x-a...

Q: Which of the following graphs show/s a removable discontinuity? II -구 Ol and II OI and II O Ill only...

A: Given query is to find the which graph shows the removal discontinuity.

Q: Alchanges sa 6. Consider the rabbit pairs that illustrate the pattern in the Fibonacci sequence. The...

A: step 1:-Given that: After reaching at the age of 2 months, rabbitproduce exactly 1 pair of new rabbi...

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

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Q: Given cost and price (demand) functions C(g) = 110q + 43,700 and p(g) = - 1.8q + 900, what is the ma...

A: To find out the marginal cost at a production level of 55 items  

Q: KFUPM I Bb HOMEWORK... X Knowledge... Objective Knowledge Check Find two numbers a and b such that t...

A: If the given system of equations have infinite number of solutions then a1/a2=b1/b2=c1/c2 .thus we f...

Q: below is the function f(x) 5+ 4+ 03- 24 1 2 3 -3 -4 lim f(1) = -→-1- lim of

A: We have to find the value of the given limits according to the given graph of function

Q: 5x + 5 if z 3 !! 17 if z = 3 Determine whether f(x) is continuous at I = 3. If f(x) is not continuo...

A: A function f(x) is continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a)

Q: F(t) = (2t + 8) u(t – 6)

A: Note that: L{u(t-c)g(t)}=e-csL{g(t+c)}

Q: Question 5: The 3x3 matrix M is given below, in term of a constant y: [y - 3 M = -2 y -2 -1 у — 1 y ...

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Q: SHOW THAT : csc² (2 cot¯ /x -1 dx X - 1 Vx +x/x

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Q: Using the separation of variabe method, solve the fllowing diferental equations a). dx

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Q: The graph of y= f(x) (solid) and y = g(x) (dashed) is shown 6+ 4- -6 -5 -4 -3 -2 -1 5 -2- -3- -4 -5 ...

A: topic - limits

Q: Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).

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Q: 3x + 9 if r 1 if = 1 10 O Not continuous: lim f(x)+ f(a). O Not continuous: f(1) is undefined. O Not...

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