Find the point (x, y) of x+14xy+ 49y = 100 that is closest to the origin and lies in the first quadrant.

Q: Consider / sin'x cos?x dx. If we let u=cos x , the integrand can be transformed to A (u²+ 2u* +u6)…

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Q: Question Using Rolle's theorem for the following function, find all valuesc in the given interval…

A: Given query is to find the value of c for the given interval.

Q: Find the area bounded by the lines and curves y = x? - 2 and y = 2

A: Graph:

Q: V5 +3 v3 - E-2 where k is an integer to be found. V5 + V3 Without using a calculator, show that Cs…

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Q: dx If x2- 2x - 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Let 7(t) = Find F(t)dt (don't include the +C)

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Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is  which means the…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given problem:- Find the critical number of given function h(p) =(p-5)/(p2+7)

Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

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Q: x2+x+1 2x2+2+x3+x

A: Solution: ∫x2+x+12x2+2+x3+xdx factor the denominator ∫x2+x+1x+2x2+1dx

Q: Use the integral test to determine whether the series is convergent or diverg n2 n3 + 1 n = 2…

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 1 5. Evaluate when x 1,…

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Q: Find the area of the region. 1 y x2 – 2x + 5 y 0.4 0.3 0.2 -2 -1 1 2 3 4

A: It can be solved using integration.

Q: Find the length of an are with parameterization r(t) = (-7 sin (t), -7 cos (t), -4). on the interval…

A: In this question, We will use the formula of the length of an arc of the parametrized curve.

Q: b) - 1 Use polar coordinates to evaluate the double integral || (4x2 +4y²) dA R where R is the…

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Q: S Integrate the falloing funclinne the given kesinms aver R: y=4x-x and y =X

A: Area

Q: 27. Jul 16,0 =

A: Given data÷ Vector u is given by u=ucosθi+usinθj Or  u=<ucosθ,usinθ>

Q: 9 Simplify arcsin(cos 35). 35° 55° no solution

A: Given problem:- Simplify arcsin(cos 35).

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

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Q: Use quadratic formula to find all the real zeroes of the 2nd degree polynomials 6x²-x-1

A: The given polynomial,      6x2-x-1

Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: a. Graph the function f(0) = 6 sin(0). 6- 4 -/2 3/2 -2 -4 -6 -8+ Clear All Draw: W b. Graph the…

A: We want to plot the graph.

Q: Determine the type and stability of the critical points of the homogeneous systems: dx = x - 2y dt…

A: We have to determine the type and stability of the critical points of the homogeneous systems.

Q: A = -5 6 Find the inverse of A using ad j(A)

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Q: Estimate the area under the graph of f(x)= 3x between x 0 and x=1 using each finite approximation…

A: Note: As per our company guidelines we are supposed to answer the first three subparts of the…

Q: 4.x 2x 7e lim 1- e4x

A: We have to find limx→∞ e4x-7e2x1-e4x.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = dt 2 f'(x) =…

A: Using fundamental theorem of calculus,

Q: tanx sec4x dx

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Q: Question For the equation given below, one could use Newton's method as a way to approximate the…

A: We have to find the value of xn+1.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivativ f(x) Vt3 + 2°dt f'(x) =…

A: Given query is to find the derivative.

Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points.   ​(1​,−1​),…

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Q: (In x) ² dx,u Use integration by parts.

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Q: 3.12 Еxpress lim n00 n k3D cos 1+ as an integral. (Be sure to include the lower and upper limits|of…

A: Given: limn→∞ 2n∑k=1ncos1+2kn To convert this into the integral , use the following method

Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

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Q: utilize the characteristic equations method to solve the equation y''-5y'+3y=0 y(0)=3, y'(0)=-1

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx 4x2 – 1 XV

A: We have to determine integral

Q: s the indefinite integral | x2 cos(x3) dx becomes 1 cos(u) du- must also convert the integral…

A: Given query is to find the integral limits.

Q: Given curves 7(t) (5t, 3t, 5t 5) and ü(t) = (3t°, 2, 4t + 6t) find the derivative of the cross…

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Q: If the demand equation for an item is D(x) = -3.4x + 740 and a supplier is willing to supply 90…

A: answer is in next step

Q: Determine (4x³ + 3x2 + 5) from the first principle when x = 2 Determine the differential coefficient…

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Q: Let F = (3y, -32) and let Crepresent the unit circle oriented counterclockwise. Calculate the…

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Q: Use back-substitution to solve the system of linear equations. 2x - y+5z = 24 y+2z = 9 7

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Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + D − 2)y = 2x − 40cos2x

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Q: Find the indefinite integral. sinh(6 – 7x) dx

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Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. A 2/5…

A: topic - area bounded by curves

Q: Convert the polar coordinates (2, 57) to Cartesian coordinates. O (1, -V3) O (-1, v3) O (-V3, 1)

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Q: 12. y' = x2 - 2xy + y2

A: See the answer below

Q: Write the first four terms of the sequence whose general term is given. an =n+5 a, = 6 a2 = 7 az = 8…

A: Given query is to find the first four terms of the sequence.

Q: 2(メy)=16-x-, R: %3D and y=4X- 2

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