Suppose we need to find an equation of the plane that passes through the line of intersection of the planes x -z = 1 and y + 2x = 3, and perpendicular to the plane 2z = x + y - 1.

Q: Find the equation of the tangent line T(x) to the graph of the given function at the indicated point...

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Q: 5e*dx V9-12e3* +4e6x

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Q: 1. Consider the region bounded by y = x and y = Vx, shown below. | Y Find the volume of the solid ob...

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Q: Given that lim f(x)= -2 and lim g(x)= 6, find the following limit. X-3 X3 lim vg(x) – f(x) X-3

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Q: BB learn-us-east-1-prod.. Bb learn-us-east-1-prod... 14. Practice similar < Previous Suppose (5,0) i...

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Q: Activity 4: Determine whether the left-hand side of the equation is equal to its right hand side. Wr...

A: 3) PANIS  

Q: 5. In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following f...

A: Given Equation y=Asinx+Bcosx.......................................(i)

Q: Which of the following is not true? If (x) – 8 (x) ]dx = - frena- fawra (x) dx – A 8 (x)dh If (x) · ...

A: Here we will check one by one as shown below

Q: obtain the general solution.  dx =t(1+t2)sec2xdt. (1+In x)dx+(1 +In y)dy =0

A: (1). The given differential equation is: dx=t1+t2sec2x dt

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

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Q: 7. Find : y = (x* = 5«)a0n 5x, (b). y = x2

A: We can find the derivative as below

Q: Sketch the graph of the following piecewise defined function. Label three points on each piece and g...

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Q: 19. Why is it important to sample not more than 10% of the population when the sample is drawn witho...

A: Given questions : 19. Why is it implortant to sample not more than 10% of the population when the sa...

Q: ex-e2 1. lim x→2 x-2 x2 2. lim X0 sin 5x2 3. lim 5 cos 3x2-5 sin 8x2

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Q: Consider the equation z = x² + y. (a) Describe the traces of the equation parallel to the xz-plane, ...

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Q: 4. y = log v2x + 55. y = In(2x + 1)*6. f(x) = In(x +3)* %3D

A: topic - derivative of a function

Q: ft ft when the brakes are applied. A bus travelling at 66 along a straight, level road decelerates a...

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Q: If [ s( ) d0 = –sin20 + C , then f (0) =-cos20. 2

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Q: A particle moves along a straight line and has acceleration given by s"(1) = 41 +3. Its initial velo...

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Q: OBTAIN A FAMILY OF SOLUTION 1. (5 v- U) du + (3V -7U) dv=0 2. (x - yny + ylnx) dx + x CIn y - In x)d...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Find the value of 'n' that satisfies the equation: „C, =, C, the correct value of n)

A: We will find the value of n as shown below

Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.

Q: Solve the differential equation with appropriate method. Finalize answer free o logarithms and radic...

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Q: Assume that f(x) and g(x) are both differentiable functions with values as given in the table. Use t...

A: topic - derivative of a function

Q: A function F is an antiderivative of the function f if F'(x) = %3D for all x in the domain of f.

A: We have to solve given Questions.

Q: x+1 dx

A: We need to integrate∫x3+1xdx

Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

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Q: What happens if you try to use l'Hospital's Rule to find the limit? lim X → V x- + 3 You cannot appl...

A: Find the limit of the function x/√(x2+3) , x tends to infinity. 

Q: Obtain the solution of the following differential equations. 5. (1 − xy)^−2 dx + [y^2 + x^2(1 − xy)...

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Q: 1. Use table of values to find a recognizable limit of the function f(x) = sec? as x approaches posi...

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Q: 10 3 -10 etermine the limits of the given function as x approaches

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Q: Find the area of a triangle bounded by the y axis, the line f(x) f(x) that passes through the origin...

A: Given: - The line f(x)=7-13x and the line perpendicular to f(x) that passes through the origin, To f...

Q: What should be the rewrite of the integrand of -dx so that the resulting integral is integrable?

A: Given I = ∫2x-52x2 dxlet f(x) = 2x-52x2simply the numerator and denominator of f(x) to get integral ...

Q: In the adjoining figure, point Q is the center of the top face, and R is midpoint of the segment. R ...

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Q: Use sympy to solve the following problems: (a) Solve u' (t) + u(t) = e' subject to u(1) = 3. (b) Fin...

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Q: V(x) = 5 + 0.25x² where V is the shear force and x is length in distance along the beam. We know tha...

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Q: Evaluate the iterated integral. 7 dx dy

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Q: 1 Describe how the graph of the function g(x) = Vx can be obtained from the basic graph. Then graph ...

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Q: Evaluate (2 sin? x cos3 x dx 0.

A: The given integral,     ∫0π2sin2x cos3x dx

Q: ´In²sinx In the expression dx , the integrand is tanx

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Q: Find the tangent line to f(x) = (2-4x^2)^5 at x=1

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Q: 2. Consider the infinite series 12 12 12 12 12

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Q: A body of revolution is obtained by rotation about the line a = 0 of the region consisting of all po...

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Q: Use your analytic calculation to show me: sin' 0 do = 0 -27 sin e de = 7

A: Given problem:-  

Q: бх2— 2х +5 dx? 2х + 1

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Q: For the following exercises, find the exact area of the region bounded by the given equations if pos...

A: Area between curves x2=y3 and x=3y

Q: 1. Evaluate xy² dA, where D = {(x, y) | sin a < y < 1/2,0 <a< 7/6}. %3D

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Q: 4. Find the limit: lim (b) lim -5x+4 x-4 X-4

A: We can find the limit using the L'Hospital rule.

Q: y = Ce* + C2xe*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e* - cos x and passes ...

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