Use the suggested substitution to write the expression as a trigonometric expression. Simplify your answer as much as possible. Assume 0 < # < Answer BORN П 2 - 4, x = 2sec (0) Keypad Keyboard Shortcuts

Q: Use the Fundamental Theorem of Calculus Part I to evaluate dx Jx5 sin(t)dt

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Q: Consider the vector field F = (x³y¹, x¹y³) Is this vector field Conservative? Select an answer If…

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Q: ammation Calculate the amount of work required to lift a bucket of cement with mass of 50 kg from…

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Q: 35. x+3y- x=-2 2x - 6y + z = -5 -3x+3y-2z= 5 -

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Q: Question 2 Consider the function f(x)=2x" ln(x + 8x+8). The function f is complicated enough that it…

A: Given: f(x)=2xalnx4+8x+8 Stationary point is at x=x0 that is close to x=-1 a=3 Chain rule for…

Q: Determine a definite integral that represents the area of the region endosed by -b da

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Q: +√√x+cos 3x + csc² 2x) dx ¹2x) dx ₂)/G + ₁ b) √x

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Q: 2009. Find the​ country's national credit market​ debt, D(t), since​ 2009, given that…

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Q: 1 = [0) R : R-xd= xp

A: given,  dydx=ex-y  and  y(0)=1

Q: The function f(x) = −2x³+42x² −270x +9 has one local minimum and one local maximum. This function…

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Q: Problem 3. If the function () is expressed as a standard power function, k-², then the values of k…

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Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: PleaseWrite clearly to understand your hand writing.Thank you

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Q: Given parametric equations and parameter interval for the motion of a particle in the xy-plane…

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Q: 3. A simple pendulum is a weight on the end of a string or rod, which when given an initial push,…

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Q: -Evaluate fx(x-5)¹²dx. A. 0.456 B. 0.556 C. 0.656 D. 0.756

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Q: Read the entry directions carefully! The purpose of this question is to do the preliminary work to…

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Q: Please explain the rules applied in each step of the solution

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Q: Evaluate the triple iterated integral. /4 (9 9 19-r rz dz dr de

A: The triple integral is given by To determine: The solution of the integral.

Q: e. S e dx x (In x)² 2 f. S t 0 √5 + t² -dt

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Q: Homework: 1. Solve for the general solution I' = 6 3 0-2 1 0 8 0 x

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Q: Use the graph to evaluate the limit. lim f(x) -6-5 k 2 3 4 5 6 x

A: The existence of limit at x=a⇒limx→a-fx=limx→a+fx=limx→afx

Q: Solve the quadratic equation by using the quadratic formula. 4x² + 5x+3=0

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Q: Use cylindrical coordinates to find the volume of the solid. Solid inside x² + y² + z² = 16 and…

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Q: An investment produces a perpetual stream of income with a flow Find the capital value at an…

A: Given the flow rate of R(t)=1400e0.02t.We need to calculate the capital value at 6% compounding.

Q: Given v= 101+] and wal+10j, find the following. a) v- b) v-v a) v-w- b) v-v=

A: v=10i+j ,w=i+10j

Q: Consider the following. 4 (x, y) = y=x³ - 2x (x, y) = -2 y 6 dx + 4 2 -2 -6 (a) Find the points of…

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Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: Fx,y=e2x+x2y, e2y-x2y   C is the circle x2+y2=4 oriented clockwise. Here r=2

Q: Set up the definite integral that gives the area of the region. Y₁ = (x - 1)³ Y2 Y₂ = x - 1 1 6²[ S…

A: Area of the between two curves

Q: Let f(x) = cosx and derive its Maclaurin Series, and find its interval of convergence.

A: We have to derive the Maclaurin series and interval of convergence for f(x) = cosx.

Q: Match each graph with its equation > D O ha Q Q a. r = 5 + 4 cos(0) b. T = 4 + 4 cos(0) C. T = 4…

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Q: Consider the quadratic function f(x) = -xr² − 3x + 18. Determine the following: The smallest…

A: A quadratic function,

Q: Given the function f(x) = log₂ (4x + 8) + 1, describe the transformations to the parent function y =…

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Q: Find the area between the following curves. 3 2 2 y=x -x +x+5; y = 5x - 7x+5 The area between the…

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Q: The function f(x) = 3x + 7x¹ has one local minimum and one local maximum. This function has a local…

A: We have given a function fx=3x+7x-1, and we need to find the maximum and minimum values of the…

Q: IM 2008 20 1+n 2 + n 240

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Q: Find the average value of the function f (x) = x x on the interval [0, 2]

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Q: Find the area of the region outside T = 5 + 5 sin 0, but inside r : 15 sin 0.

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region underneath…

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Q: Write an equation (any form) for the quadratic graphed below 5-4-3-2 32 -2 12 to वॅ

A: The quadratic function in the vertex form is of the form  y=ax-h2+k  ...(1)

Q: Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as…

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Q: Evaluate the definite integral. 5 [³9. √/7² dx

A: The given integral is ∫059.x23dx To evaluate the integral.

Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

A: The volume of the solid generated by revolving enclosed by the triangle with vertices (4,1),(6,3)…

Q: What is the integral of (3t-1) dt? A.(3-1) +C 8.(3-4)*+C C. (3-1)*+C D. (3t-1)³ +C B. Evaluate the…

A: Given that ∫ 3t-13 dt

Q: The parametric equations and parameter intervals for the motion of a particle in the xy-plane are…

A: Parametric equation x=cos2ty=sin2t0≤t≤π

Q: Find the area of the region under the graph of f on [a, b]. f(x) = e-x/2; [-1, 4] е

A: The given function is:f(x)=e-x2 ;       x∈-1, 4

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Write the sum without using sigma notation. n Σ(-1)² + 2x³² j = 1

A: Summation means  Putting j=1,2,3.......n

Q: 6 An observer at A in the diagram is watching a plane fly overhead, and he tilts his head so that he…

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Q: Convert the Cartesian coordinate (2,-5) to polar coordinates, 0≤θ0 r= Enter exact value Theta=

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