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Q: Given f(10)=3, f′(10)=10, g(10)=−1, and g′(10)=9, find the values of the following.   (a) (fg)′(10)...

A: Given : f(10) = 3f'(10) = 10 g(10) = -1g'(10) = 9

Q: Please answer the question shown below and show all work! Thank you!

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Q: 1. Suppose f(x) = S*,t cos (e) dt. Find f'(x) COS 1+t2

A: We have to find f'x for the function: fx=∫-7xtcos11+t2dt This type of derivatives would be solved by...

Q: Thank you need help

A: Try to separate terms containing 'y' on one side of the equation and terms containing 'x' on the oth...

Q: Find the area of the shaded region.

A: Consider the curve  r=4+3sinθ  

Q: Calculus Question

A: a) The rate of change of variable y is proportional to the value of y. Let dydx be the rate of chang...

Q: Solve for xx.log2(x)+log2(x−12)=6

A: The given equation is log2x+log2x-12=6. Solve the above equation as follows.  

Q: Simplify the trigonometric expression. 4 4 1- sin(a) 1+ sin(a)

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Q: Consider the function f(x) = 2x2 - 12x- 2. Determine, without graphing, whether the function has a m...

A: We have given function fx=2x2-12x-2 fx=2x2-12x-2f'x=4x-12 If f'x=0 then, 4x-12=0⇒x=124=3 And f''x=4 ...

Q: A company's marginal cost function is 14 where x is the number of units. Find the total cost of the ...

A:

Q: 15.5 - #5

A: Given:  Region is bounded by y2=x+2 and x=2 Density δx,y=1 We want to find the centroid of the given...

Q: The sum of three numbers, call them x, y, and z, is 7. The number y is one less than threetimes the ...

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Q: Write z1 and z2 in polar form. 3/3 - 3i, z2 = -1 + i Z1 Z2 II

A: Convert z1 and z2 in polar form z1=r1(cosθ1+isinθ1) r=a2+b2θ=tan-1ba z1=33-3ia=33b=-3r=332+-32=6θ=ta...

Q: A vertical solid steel post of diameter ddd = 22 cmcm and length LLL = 3.00 mm is required to suppor...

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum.

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Q: The function f(x) = 2x³ – 27x2 + 48x – 3 has two critical numbers. - The smaller one is x = and the ...

A: We have to find critical numbers for the function: fx=2x3-27x2+48x-3 We know that critical points of...

Q: Determine if each of the following improper integrals converge or diverge. If it converges, to what?...

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Q: Please answer the question shown below and select the correct choice! Thank you!

A: Given that: The integral is ∫1∞ cos2xx2 dx .

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

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Q: Help with this question. Use trig iddentities and u-sub to solve the integrl. Please show all work a...

A: Given  ∫tan3xsec2xsin2xdx using the identities  tanx=sinxcosxsecx=1cosx integral can be written as ∫...

Q: Use a calculator to solve the equation tan x = -5, correct to four decimal places, on the interval [...

A: the given equation is tanx=-5. we have to find the solution of the given equation on the interval [0...

Q: Use algebra to evaluate the limits lim f(x), lim f(x), lim f(x) x→a+ x→a- if they exist. Sketch a gr...

A: We have to evaluate the limits limx→3+fx,limx→3-fx,limx→3fx limx→3+fx=limx→3+2x+1=23+1=7 limx→3-fx=l...

Q: Consider the function f(x) = x4 – 72x² + 8, – 5 < x < 13. This function has an absolute minimum valu...

A:  Given that fx=x4-72x2+8 on the interval [-5,13] Differentiate fx=x4-72x2+8 with respect to x:      ...

Q: For f(x) = x√9 − x2 on [−3, 3]:(a) Locate the critical points of f.(b) Use the first derivative test...

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Q: The problem involves trigonometric equation quadratic in form.Solve the equation 3 tan2 x - 9 = 0 on...

A: Given trigonometric equation is 3tan2x-9=0 and interval [0,2π). Solving the given trigonometric equa...

Q: 1) Solve the following starting from the differential equation described: The number of bunnies in n...

A: The number of bunnies in the nest is increased at a rate proportional to the number of the bunnies'....

Q: For the function​ below, find ​a) the critical​ numbers; ​b) the open intervals where the function i...

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Q: A simply supported beam is subjected to a quadratic distributed load, as shown in Fig. P9.18. Wo w(x...

A: The load applied on the beam is w(x)=-w0l2xx-2l.

Q: Pictured are a contour map of f and a curve with equation g(x, y) = 8. Estimate the maximum and mini...

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Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: 9-25. The current flowing in a resistor is given by i(t) = (t – 1)²A. Knowing that i(t) = 0 find the...

A: Given that current flowing in a resistor is  i(t)=(t-1)2 i(t)=t2+1-2t. and also i(t)=dq(t)/dt We nee...

Q: 시 1 Vn³ +1 n=1 Determine the convergence or divergence of the above series using an appropriate conv...

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Q: f(x)= (-1)/(3(x+1))+1 Domain and range? Transformations? Name of Graph?

A: Given the function (-1)/(3(x+1))+1 We need to determine the domain and range of the function. Domain...

Q: Parle to Fully demonstrate eva luate the Integral Litegration by demonst ra te 3メ 5xe

A: Given : ∫5xe-3xdx

Q: Question #1

A: (1) The function is f(x)=x5-5x4-x3+28x2-2x. First sketch the graph of  f(x)=x5-5x4-x3+28x2-2x.

Q: 3. Find the local maximum and local minimum values and saddle point(s) of the function. f(x,y) = x³ ...

A: Given that fx,y=x3+y3-3x2-3y2-9x Differentiate fx,y=x3+y3-3x2-3y2-9x partially with respect to x and...

Q: Consider the curve defined by the equation y^2 + 4x^2 = 3 - 2y^2 a) find dy/dx b) find the point(s) ...

A: Consider the curve defined by the equation y2 + 4x2 = 3 - 2y2 a) find dy/dx b) find the point(s) for...

Q: I need help solving this question.

A: Given : y = ln(x2+y2)

Q: Wha is 0.06 as a rational number

A: Given0.06

Q: Use an identity to solve the equation cos 2x + cos x + 1 = 0 on the interval [0, 2π).

A: the given equation is cos2x+cosx+1=0. we have to find the solution of the given equation on the inte...

Q: dw Solve the differential equation 4 dt -5e+".

A: given differntial equation4dwdt=-5et+wseparate variables4dwew=-5etdt4e-wdw=-5etdt

Q: Show that (vector)F = &lt;ln(y) + y/x, ln(x) + x/y &gt; is a gradient field. Then find a potential f...

A: A vector field F(x,y)=f1,f2 is a gradient field if ∂f2∂x=∂f1∂y

Q: Consider the function f(x) = x4 – 72x? + 10, 5 < x < 13. This function has an absolute minimum value...

A: As we know for finding the maximum and minimum value we have to to find the their point at which max...