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Q: Evaluate the integral. 2 sin -1 x dx

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Q: Find the transition points. y = 5x - 75x (Use symbolic notation and fractions where needed. Give you...

A: (2) Given- y=5x5-75x3 To Find- The critical points and the points of inflection.  

Q: 1. Determine the formula for the following trigonometric functions -1:5- 1- -0:5 2 4TT TT/4 TT/2 3T/...

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Q: Solve the homogenous differential equations of (D2 + 6D + 7)(D3 – 5D2 + 6D)y = 0

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Q: [SADT] The length l, width w, and height h of a box change with time. At a certain instant the dimen...

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Q: Calculate the Taylor polynomials T2 and T3 centered at x = a for the function f(x) = 1 ln (x + 1), a...

A: Given: fx=lnx+1,a=0

Q: dy Suppose =ky, where k is constant and y=8 when t=0. Also suppose that y=6 when t=3. What is the co...

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Q: What is equation of the line tangent to the graph of y = x^3 + 3x^2 + 2 at its point of inflection?

A: Given that, The equation of line is given following, y = x3 + 3x2 + 2 We have to find the equation o...

Q: 12v2r| (v2- ) dx

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Q: a) If the graph of y = is translated 6 units to the right and 4 units down, find its new equation. b...

A: Solution : a) we have given a function y = 2x2 and it is translated 6 units to the right and 4 unit...

Q: Consider the differential equation dy -0.5y (y – 4) dt Question 1 Why is the given differential equa...

A: Given: The given differential equation is  dydt=-0.5y(y-4)

Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse 36 1 49 ...

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exac...

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Q: E(-1)" sin n=1 Input C for convergence and D for divergence:

A: The solution are next step

Q: 3 A box with a square base and open top must have a volume of 62,500 cm³. Find the dimensions of the...

A: Given that a box with a square base and open top must have a volume of 62500cm3 . Here we have to fi...

Q: The first area (with vertical, red shading) is 11 and the second (with oblique, black shading) is 1....

A: Given that:                    

Q: 5. Demonstrate that Im(iz) = Re(z).

A: It is required to demonstrate the problem 5. Problem 5 is solved below in detail.

Q: Find the volume of the first octant region bounded by the coordinate planes and the parabolic cylind...

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Q: Given = {a,b,c,d,e } , P is the subset {abde} and Q is the subset { c.de}. What is the set (P N Q') ...

A: On solving this we will get

Q: A rectangular cardboard has dimensions 50 cm by 100 cm. A box is to be made from the cardboard by cu...

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Q: Evaluate the following expressions.

A: Given table

Q: Use implicit differentiation to find dy/dx and then d2y/dx2. Write the solutions in term of x and y ...

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Q: dy Suppose =2x+3 and y=3 when *=2. What is the value of y when *=4? dx Write the answer in its exact...

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Q: 5. e*+ e = C1 %3D

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Q: Consider a circle with center at the origin and with radius 3. a What is the equation of the circle ...

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Q: The Taylor series for f(x) = x' at 2 is Cn (x = 2)". n= Find the first few coefficients.

A: Given: f(x)=x3

Q: In Exercises 1 - 10, find the partial derivatives of the functions. Simplify all answers. 1. z= 3.xy...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: 5. e+ e = C1 %3D

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Q: Suppose f(x) =3*sec(3*) tan( 3*), Evaluate: sec(3*) +C In (3) A 3*. sec(3*) (B +C In (3) © In(3)· se...

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Q: 4x² + y² = 13 b) x² + y² = 10

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Q: (D³ – 3D + 2)y = -7

A: The solution are next step

Q: Suppose f(x) =x²csc(2x³), Evaluate:/ f(x) dx A -cot(2r³) +C ® - esc (2r³) + C O -e(2*) cot(2r*) +c O...

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Q: This is the idea of a slope field graph: 1. Our goal is to sketch the unknown function y (t). 2. We ...

A: Basic propoerties of the curve y(t). The curve y(t) touches the tangent at every point. It never cro...

Q: Suppose /(x) =. Evaluate: /r(s) dr 5--x A - 21n|x– 10| +C ® --m\x– 10| + C 2ln 5 + D +C

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Q: Alternating series test!

A: Given : The series ∑n=1∞-1n 2n5n+3   To find : The given series is convergence or divergence by u...

Q: Evaluate the integral. dA, R = [0, 6] × [0, 16] x + 1

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Q: sin' cos )d» 4х. 4x, 8

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Q: Which of the following is NOT a separable differential equation? dy A =xy2 dr dy B ) ==x- 2y dx © ye...

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Q: 4 Represent the function as a power series 1— Зх f(x) = Σ > Cnx" =D0 Compute the first few coefficie...

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Q: 5. If F = A × OP, where A is a constant vector field, show that V x F = 2A 6. If R = OP,r = ||R||, f...

A: The solution are next step

Q: Please answer number 5 determine the equation of the orthogonal trajectories of the following famili...

A: Given that        ex + e-y = C1 Here we have to find the equation of the orthogonal trajectories.

Q: Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the constra...

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Q: Suppose the function h gives the cost of Car Bt years since 2005. What does the expression 3h(8) rep...

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Q: The definite integral . (cot2(x) + csc²(x)]dx when evaluated is equal to A V3 +Br, where A, B are co...

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Q: Find the integral of the following. Give the value of the variables. xーズー dx (x-1)(-x)

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Q: 2. Show that V(V × F) = 0, here vector field is twice differentiable. %3D

A: This question is from vectors. 

Q: dy What is the general solution to the differential equation cos(x) dx cos(x) +1 A y=cot(x) – csc(x)...

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Q: Find the transition points. y = 9x6 – 81x (Use symbolic notation and fractions where needed. Give yo...

A: Let's find. 

Q: sin x siny Suppose the point , 3'4 -=C, where C is a constant. Use y 4. is on the curve the tangent ...

A: Given; Sinx/x + Siny/y = c.

Q: Consider the function. x' + 8 f(x) = Determine the intervals on which ƒ is increasing, decreasing, c...

A: Given that the function is       f(x) = (x3 +8)/x