Find the integral. dx 3- 2х A 글메3-2x+C B -글 미 3-2지+ C c) 2 In 13 - 2x| +C D) - 2 In 13 - 2x| +C

Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

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Q: Answer the following True or False: If an ice skater is skating directly away from a 3 meter tall la...

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Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identif y the u and find du. 1. fa cos² 2t dt 4...

A: 1). Given; I=∫cos22tdt  ...1   We know that; The trigonometric identity: cos2x=2cos2x-1 And ∫11+x2dx...

Q: An offshore oll well is 4 kilometers off the coast. The refinery Is 5 kilometers down the coast (see...

A: Given query is to find the x to minimize the cost.

Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

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Q: Find a general solution. u"+21u 0 u(t) = ]

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Q: For each of the numbers a, b, c, d, e, r, s, and t, state whether the function whose graph is shc ni...

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Q: The movement of a particle follows g(u), where g(u) h(u) and h(u) = u? + 8u + 15 and y(u) = u² + 2u ...

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Q: (d) There exists a relation U on A so that U is symmetric and antisymmetric, but U is not transitive...

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Q: 6. y = 2 log, (e")

A: Solution ) y = 2 loga(ex) Suppose ex = m Chain rule of differentiation  dy/dx = (dy / dm)×(dm/dx) [ ...

Q: Given arccos(r) = arccot(z?), solve for dz/dr %3D

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: A chemical substance has a decay rate of 9.5% per day The rate of change of an amount N of the chemi...

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Q: Find the area of the region.

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Q: Set up an integral representing the area A of the region enclosed by the given curves. x = y*, x = 2...

A: Explained below 

Q: n=1 (Vn+5 Question Determine the sum of the telescoping series below. 00 9 Vn + 6 If the series dive...

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Q: The graph below shows the velocity v in feet per second of a small rocket that was fired from the to...

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Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +...

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: Find the formula for the nth term of the arithmetic sequence. a1 = 11, d =

A: Given query is to find the formula for nth term.

Q: Solve the following problems. Show complete solutions. 1. S sin° (2æ) cos (2æ)dæ

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Q: (1+ cot x) dx Evaluate: sin?x/9- cot?x cotx (А) - sin +C 3 9- cot?x – sin cotx + 9- В - cotx + C - -...

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Q: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter. ...

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Q: Find Is, Iy and I, for the area enclosed by the loop of y? = x²(2 – x) %3D

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Q: Find the value(s) of x for which f(x) =4x-3/4x^2+17x-15 is discontinuous and label these discontinui...

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Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

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Q: Locate the critical points and identify which critical points are stationary points. f(x) = 5x – 160...

A: Given thatfx=5x4-160x2+8Solution : find first derivative and equate equal to zero.fx=5x4-160x2+8f'x=...

Q: Find the critical points of f(x) = x³ – 21x² + 72x and use the Second Derivative Test (if possible) ...

A: f(x)=x3-21x2+72xFor critical pointDifferentiate the function f'(x)=3x2-(21×2x)+72f'(x)=3x2-42x+72Tak...

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: Sketch. the.region.cf.integratizin.and.evaluabe. thaw .. fallowing. integrals a ..... in2 Ins 2X-년 A...

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Q: Question 5 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = (x²...

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Q: given the system of equations: 4x(x2 + y - 11) + 2(x + y2 - 7) = 0 2(x2 + y - 11) + 4y(x + y2 - 7)...

A: We need to solve the given system of equations for x and y: 4xx2+y-11+2x+y2-7=02x2+y-11+4yx+y2-7=0  ...

Q: 5. (2y- 3x)dx + xdy = 0

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Q: Given the function f(1) = e2' cos(3 1) Use the Laplace Transform table to convert this function into...

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Q: Given the differential equation and its initial conditions y" - 4y' + 5y = 4 e" with y(0) = 2 and y'...

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Q: Consider the given function and the given interval. f(x) = 5/x, [0, 4] (a) Find the average value fa...

A: The objective is to solve the above question.

Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x = ...

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Q: 1. sinx siny dx + cosx cosy dy = 0 %3D 2. [2xy cos(x2) – 2xy + 1]dx + [sin(x²) – x²]dy = 0 3. y?dx +...

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium ...

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Q: FInd the Laplace transform of cos t cos 2t cos 3t

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: dy Find given that dt dx x + y = 2x + 4y, x= 3 y = 1, and %3D = 6 dt dy %3D dt

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Q: da at I = –1if y = – 1² + 2 and dt dy dt 2. Find da dt

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Q: For the following geometric sequence find the recursive formula and the 6th term in the sequence. {...

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Q: Question 15 Write a chain rule formula for the following derivative. for w = f(x, y, z); x = g(s, t)...

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Q: The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to es...

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Q: Derivative of f(x)= 4x/5x^2-1

A: We can find the derivative as below.

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number betw...

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