COn 8 Question 12 dx is equivalent to what trigonometric expression when solved using trigonometric substitution? A de ain e de coste B de ain 8 de .C OD Question 13

Q: Al saves pennies. He agreed to give 2/5 of his pennies to Bev if she would give 2/5 of what she got…

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Q: Estimate the limit numerically or state that sec (x) lim x→1+ vx³–1 (Enter DNE if the limit doesn't…

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Q: 1 Lim x+0 sin'x 2. X. X

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: The radius of the sphere is increasing at a rate of 5mm/sits diameter is 80 mm

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5)…

A: Given : The line passes through (8,5) and is parallel to 9i-5j   To Find: Parametric equation of the…

Q: Find the indicated partial derivatives. f(r, s, t) = r In(rs®t®); rss' rst frss(r, s, t) = frse(r,…

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Q: A rectangular tank with a square base, an open top, and a volume of 6912 ft° is to be constructed of…

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Q: Find the area of the shaded region. The image is not to scale. x=-Cy x=d- y? Consider c=1, d32.…

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Q: I. SOLVE THE FOLLOWING INDETERMINATE FORMS e* +e* – x? – 2 1) Lim sin? x– x? 2 x0

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: solve the bernoulli equation dx +1x' + = 0 +tx dt

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Q: Give at least 3 examples of each type of matrices 3x3 and 4x4. 1. Idempotent Matrix

A: One example of 3x3 matrix is 123456789. One example of 4x4 matrix is 12345678912346789.

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: -2 -1 0 3 6 |

A: We have to find out the limit

Q: Find the points on the the polar curve r = 4 cos 0 where the tangent line is horizontal.

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Q: Find sets of parametric equations and symmetric equations of the lihe that passes througn the given…

A: Here we have to find the sets of parametric equations and symmetric equations of the line that…

Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k %3D (a) Find the projection of u onto v. (b)…

A: Given that u=-6i-2j-4kv=2j+2ka.projection of u onto…

Q: Find dy/dx by implicit differentia exly = 7x – y y' =

A: Quotient Rule of differentiation : ddxuv = v.dudx -u.dvdxv2 dexdx=ex dxndx=n.xn-1

Q: The graph shows the rate of change of the revenue of a company from 2000 through 2015. dR dt 50 -…

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Q: Find the two -intercepts the function r and show that 7 (x) = 0 some polnt between the two. f(x) =…

A: Given query is to find the x intercept.

Q: Find the derivative of the function. y = cos( V sin(tan(3x)) y' =

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Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: Using the simplex method solve the linear programming problem. maximize z= 8x1 + 10x2 + 7x3…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (6, –5) + t(1,…

A: we can solve this as follows:

Q: 1. What is true about the behaviour of the function f(x)- from the right as x → 4x + 5 towards the…

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Q: Sketch the region bounded by the graphs of the functions. y = x2 - 4x + 4, y = x2 - 12x + 36, y = 0

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Q: 3. Sketch the curve f(x) = x² +1

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Q: tan(4x) lim x-→0 tan(5x)

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Q: Use the equation x" for |x| < 1 to expand the function 6. in a power series with center c = 0. 1-x…

A: To determine the interval of convergence.

Q: Solve the differential equation: dx+(x-y+2)^2dy=0

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 2. Y= 2 Arccos (1-)+ v4x – x?

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Q: Find the area of the curve r²=16cos(theta)

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Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

Q: Suppose f''(r) = - 18z + 2, f'( – 1) = – 18, and f( – 1) = 1. Then f(r) =

A: See the answer below

Q: dx - 4хydy-C

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Our Aim is to find the equation of the plane that passes through the givenpoint and is perpendicular…

Q: Evaluate the triple integral. 3xy dV, where E is bounded by the parabolic cylinders y = x² and x =…

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Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: k(а-2)+ k(5а) B- If k(a) = -43a+2, find 3

A: The objective of the question is evaluate the value .

Q: Use a graphing utility to graph the function on the closed interval [a, b]. x) - Ixl - 3, (-7, 71 -2…

A: topic - Rolle's theorem

Q: dy Solve the following differential equation: x+ y = 4x dx

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Q: manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x^2, where C is…

A: Given query is to find the value of x for minimum cost.

Q: g(x)=arcsec(4e^x) Find the derivative

A: Find the derivative of the function.      g(x)=sec-14ex

Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: Suppose the following graph represents the number of bacteria in a culture t hours after the start…

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Q: for what Vatuer of the constant(k) that the funstion fayt=x²+kxy +y will have a- Saddle Point…

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Q: 7.) Without using decimals, common denominators, or cross multiplication, be convincing of which…

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Q: dy a. Use implicit differentiation to find .xp b. Find the slope of the curve at the given point.…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 5y +z = 6 x + 3y + 7z = 1 O…

A: We can solve the given problem as follows: