Find the exact value of each expression (enter answers in radians). sec-1(2/sqrt(3)

Q: e+1にん uD!セ-1=ス'e-=メ Determine o Polynomiial with real-ualued coefficients that has the roots: hos th...

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Q: The equation of motion of a particle is s = t3 - 27t, where s is in meters and t is in seconds. (Ass...

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Q: SOve the inequality x²34-10 LO X-4 using the test-point method. Express your answer in interlai nota...

A: x2-3x-10x-4<0⇒x+2x-5x-4<0⇒x<-2  or   4<x<5⇒Solution:  x<-2  or   4<x<5  Inte...

Q: A type of sugar in the blood, also known as glucose, which is one of the major sources of energy, is...

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Q: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

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Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5-3x at x = 1. What is y(2)?

A: This question is related to differential equations and straight line, we will solve it using given i...

Q: Calculate SN given by Simpson's Rule for the value of N = 6. dx x4 + 3 (Round your answer to five de...

A: To evaluate ∫36dxx4+3 using Simpson's Rule for the value N=6 Simpson's rule formula is: ∫abf(x) dx≈S...

Q: day tidket for a for children as least G than 13 years old, A day tickei for Students at least 3 tha...

A: f(x) is the cost of ticket (in dollar) and x is the age of children (in years). x is the input and f...

Q: II. Solve for the general solution of the following differential equations. y' - 5y = 0 cos x tan y ...

A: Note: According to.our answering guidelines we have to answer only three sub parts in a question(if ...

Q: 9. (b + 4)e db

A: This question is based on Indefinite integration.

Q: xy' = y elw) – x

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Q: Let f (x) and 8(x) be antiderivative of h (x), The which of the following is true? (A None of the gi...

A: Note: If f(x) is anti- derivative of h(x) then  f'(x)=h(x) . Just use this definition and find that ...

Q: (2) Find the exact trigonometric ratios for the angle r whose radian measure is given. 57 sin (z) =....

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Q: Let f be a differentiable function such that f (3) = 2.345 and f' (x) = ln(x² + 1). What is the valu...

A: solution:-f'(x)=ln(x2+1)f(x)=∫ln(x2+1) dxusing integration by partsf(x)=∫1·ln(x2+1) dx=ln(x2+1)∫1 dx...

Q: MY NOTES ASK YOU Find the limit. Use l'Hospital's Rule where appropriate. If there is a more element...

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Q: If F is a continuous on the set of real numbers, then (A True (B False

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x³ - 3x? + 4x- 12 2...

A: y = x3 - 3x2 + 4x - 12y = x2(x -3) + 4(x - 3)y = (x2+4)(x - 3)   X-intercept: (3, 0)    [Real values...

Q: 4. y² +2xy = x+y

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule: fg'=f'·...

Q: D² + D – 1)²y = 0 ,when x= y= 0 , y' = y''' = 1 , y" = -1

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Q: Find the total area of the shaded region. 1.5- (9.1) 0.5- 4.5 9. 13.5

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. kn > 3sin k=1 ...

A:  If limk→∞uk is nonzero, then the series ∑k=1∞ukis divergent.

Q: 6. Evaluate the limits 10r – 2x4 + r3 + x² lim 4r1 + x² + x+1 5g2020 + 76 14r³ + 2 lim I-00 T2021 + ...

A: 1. limx→∞ 10x-2x4+x3+x24x4+x2+x+1

Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A: This question is related to limits,  we will solve it using given information 

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: Let the random variable X be the number of days that a certain patient needs to be in the hospital. ...

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Q: When you evaluate: dx The sum of the coefficient of - for any constant n is A None of the given choi...

A: This is a basic integration problem

Q: what points, if any, does the graph of f have a local minimum? A. The graph has a local minimum at x...

A: We are aske to find local maximum and minimum of the function.

Q: The region bounded by f(x) = - 1la + 6x + 27, a = 0, and y 0 is rotated about the y-axis. Find %3D %...

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Q: The base of a 10-ft ladder leaning against a wall begins to slide away from the wall. At the instant...

A: Given:          From the above figure     dxdt=6 ft/sec

Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

A: Let's find. 

Q: 5. The depth of water in a port is modelled by the function d(t) = pcosqt + 7.5, for 0 <t < 12, wher...

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Q: Se sin 3x dx Using integration by parts, if u = sin 3x and dv = e*dx , %3D what should be du and v? ...

A: We know that, The expression for the integration by parts: ∫udv=u·v-∫vdu   Given: I=∫exsin3xdx

Q: Determine whether the series converges. Σ 7k k=1 The series

A: The given series is: ∑k=1∞57k  

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 7/20 cos(10x) dx

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Q: Choose the type of the conic section. O hyperbola O parabola

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Q: 12. Sketch a picture of a graph y = f(x) that satisfies f'(-1) > 0, f'(0) = 0 and f'(1) < 0.

A: Follow the procedure given below  

Q: Find a bound for the error in the approximation M10 to the given integral (but do not calculate M10)...

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Q: Show that the limit does not exist: (y² + x – 1)² - lim (x,y)→(1,0) (x – 1)2 + y4

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Q: After school, Shaquille and Reyna need to pick up their basketball uniforms and return to school for...

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Q: 5. z - sin x cos y, x- Vi, y- 1/t

A: If z=f(x,y) and x=g(t) , y=h(t)  then dzdt =∂z∂xdxdt+∂z∂ydydt.

Q: Given the function y=2x2+12x+16, write this in the form y=a(x-h)2+k and sketch the graph of the func...

A: Here we have to write the function in general form of parabola and then draw the graph.

Q: Find the derivatives c %3D b)' y = e(4*+) c) y = e*(sin x %3D d) y = In(3xe-> %3D

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Q: d/dx[(sin x)/(1 - 2cos x)] = (cos x - 2)/(1 - 2cos x)² Select one: O True O False d/dx(xe2x) = 2xe2x...

A: We know that; The Power law: ddxxn=nxn-1 The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f...

Q: र्® 5x

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Q: y' – 5y = x²e* – xe5x |

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: -2x (1-3€ dx e

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Q: 4х — 7 TI Let f(x) Find the open X + 2 intervals on which f is concave up (down). Then determine the...

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Q: dy (x+2)² x² - 4 2y dx'x -4

A: find the solution of given differential equation. dydx+2yx2-4=x+22x2-4

Q: model of automobile

A: V(x)=25000-0.25x  Which is a linear equation with negative slope so from here we can say that as the...

Q: A quadratic function f is given. f(x) = 4x2 + 40x + 4 (a) Express f in standard form. f(x) = (b) Ske...

A: Explanation of the answer is as follows