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Q: Evaluate fx - sec2 (5 - z) dz.

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Q: A pot of boiling water with a temperature of 100°C is set in a room with a temperature of 20°C. The ...

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Q: Find the general solutions to the given differential equations y' -  y = xe^2x + 1

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Q: Suppose that f(π/2)=−3  and f′(π/2)=8 and let g(x)=f(x)sinx and h(x)=(cosx)/(f(x))  Find h′(π/2)

A: Given that f(π/2)=−3  and f′(π/2)=8 and let g(x)=f(x)sinx and h(x)=(cosx)/(f(x))

Q: STATEMENT 1: D112f = f12 = frzy, In the subscript notation, the order of partial differentiation is ...

A: If statement A is false and statement B is true.

Q: The angle between two planes is the angle between their normal vectors. Find the angle between the t...

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Q: In(x²) dx

A: Please see the answer below.

Q: -2 27. The first derivative of y = is (4x+1)3 а. -24 b. 24 C. -6 d. (4x + 1)* (4x + 1)* (4x + 1)* (4...

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Q: there! I haven’t done limits for a little while and can’t figure out what I am doing wrong here… can...

A: We will find the limit. 

Q: m ƒ (x) if f(x) = →0 x –1 |

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Q: c) Evaluate the following integral | dx. x2 +6x+10

A: x2+6x+10=x2+6x+9+1x2+6x+10=x2+2*x*3+32+1    (a2+2ab+b2=(a+b)2) x2+6x+10=(x+3)2+1   

Q: Ow ôw – 2xy 4. The partial differential equation +w |=0 _is classified as +

A: The solution are next step

Q: A farmer wants to fence a rectangular area of 50 square feet next to a river. Find the length and wi...

A: Solved below

Q: Use matrix inversion technique to solve the following matrix equation for a, b,c and d [3d +c -8d + ...

A: NOTE: Refresh your page if you can't see any equations. . compare all 4 entries system Ax=b is 

Q: Evaluate - 7x2-17x+38 xp: (x+6) (x-1)2

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Q: (D² – 4D + 4)y = 12x + 2e3x

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Q: Suppose that f(1) = 3, f(4) = 5, f '(1) = 4, f '(4) = 4, and f " is continuous. Find the value of xf...

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Q: Find the average rate of change of f from 0 to f(x) = sin x The average rate of change is O (Simplif...

A: The given function is:fx=sinxTo find average rate of change from 0 to 7π6

Q: 2. Which surface (ellipse, 1-sheet hyperboloid, 2-sheet hyperboloid, elliptic paraboloid, hyperbolic...

A: The solution are next step is

Q: 7. Establish the identity. cos u secu+ tan 1- sin u Write the left side in terms of sine and cosine....

A: To establish the following identity.sec u+tan u=cos u1-sin u

Q: aluate the integral using trigonometrie 6. dt /t2 - 4

A: Please see the answer below.

Q: 2. In first derivatives the forward finite difference formula is f'(x,)= f(x;4)– f (x,) i+1 X+1 - X;...

A: The given forward finite difference formula is correct

Q: e6x Find the indicated integral (if it exists) dx = +1 e12x

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Q: dy а is -1 30. of y = ta +tan-1 dx a b -2 -a d -2a а. с. p² + y? x2 + y? a2 + y? 2.

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Q: 3) A wall "h" meter high is 2 meters away from the building. The shortest ladder that can reach the ...

A: topic - Pythagoras theorem

Q: Find an equation in rectangular coordinates for the surface represented by the cylindrical equation....

A: Given That - The cylindrical equation, r = 6  

Q: x²e#/2 dx

A: Given Integral is ∫01x2 ex/2 dx

Q: 3. How many different 6 - digit numbers can be formed from the numbers 2 5 6 2 7 2?

A: Solution) we want to form 6 digit numer  With 6 choices ( 2 , 5 , 6 , 2 , 7 , 2  = 66 = 46656   

Q: = y - dy 3. 25 @ y (0)=1, y (0) =2 dx2 dx

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Q: y = 5 tan-1(10x® + 5x°) [log.(x10 + 3x7)]

A: Topic = Derivative

Q: Find the average value of the function f(x) = (x – 1)ª - over the interval - 7, 9|. [ fave Then find...

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Q: Solve the differential equation using separation of variables: dy +y° +y=0 dx

A: The detailed solution is given below Thank you

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x ...

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Q: In Exercises 7-10, locate the bifurcation values of a for the one-parameter family and describe the ...

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Q: 5 3-3 a5 Find an antiderivative of in the variable x where r E 0. 26 Remember to include a "+ C" if ...

A: To find the anti-derivative of  5x3-3x5x6=5x3x6-3x5x6                  =5x3-3x That is to evaluate: ...

Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value....

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Q: f(r) is decreasing at r = -5 f (r) has a local minimum at x=-2 ) has a local maximum at a= 2

A: We have get the continuous and differentiable function

Q: 4 7 11 f(x) 0.7 1.1 1.9 2.5 5.3 11 The continuous function f is known to be increasing for all x. Se...

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Q: The equation x² – 10 cos x Newton's Method to approximate the solution within 10-5 with: = 0 has 2 s...

A: Given:    x2-10 cos x = 0    Initial value : x0 = -100

Q: 0. Here are the left-hand sides of the integrals you work by differentiating. u" du for n -1 1 du ( ...

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Q: You are told that the initial relationship between X and Y can be described by the following equatio...

A: The given data is: Y=150-3X            ....1 (a) To write the new equation for this relationship in ...

Q: 3) A wall "h" meter high is 2 meters away from the building. The shortest ladder that can reach the ...

A: We have to determine height of the wall

Q: 2 (d) T (z) = VE + 97 -- %3D (e) h (x) = x"- æv2 %3D

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Q: Write out the form of the partial fraction decomposition of the function appearing in the integral: ...

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Q: The form of the partial fraction decomposition of a rational function is given below. 2x2 A Ва + C +...

A: Given: 2x2-2x-2x+5x2+4=Ax+5+Bx+Cx2+4  

Q: ate the integral. (Use C for the dx xV 4x* - 1

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Q: Find the area bounded by the graphs of y = 4- x^2 and y = x - 5 between x= 0 and x= 2. Sketch the re...

A: Given query is to find the the area of region bounded by the curves.

Q: x dx x2 + 16

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Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. an =...

A: The given sequence, an=5+0.8n

Q: Find the mass of a lamina bounded by y = 4/a, x = 9, and y with the density function o(x, y) = x + 4...

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