Q2: find the integral of trigonometric function cos sint dx

Q: 70- 60 50 40- 30 20 10 -10 10 20 30 10. Diego is a lifeguard and spots a drowning child 30 meters al...

A: Diego is a lifeguard and spots a drowning child 30 meters along the shore and 70 meters from the sho...

Q: Differentiate. (а) у 3 За? sin z

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Q: . Find the second derivative of y = 5sin x – 3ln x.

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Q: Match each of the following expressions with an equivalent expression. (You can use each option once...

A: Basic identities of trigonometry are used.

Q: Find the equation of the tangent line to the curve y = x(2 - x)² at (1, 1). O a.x - y = 0 O b.x - y ...

A: The curve y=x2-x2 at (1,1)

Q: Find limit lim (x,y) -> (2,0)   ((Sqrt(2x-y)-2))/(2x-y-4)

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Q: Evaluate the integral. Show all of your work. 10 (х-1)(x? +16)

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: The infinity in the V6-ydy can be eliminated by applying lim V6-y dy O True False

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function f(x) ...

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Q: Use Euler's method with step size 0.2 to compute the approximate y-values y(0.2) and y(0.4), of the ...

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Q: (2x^2t-2x^3)dt+(4x^3-6x^2t+2xt^2)dx=0 find the exact equation diff eq

A: We have to find the solution of given exact differential equation

Q: Using double integration, find the volume of the solid bounded below by the plane z = 0 and above by...

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Q: After an automobile is 1 year old, its rate of depreciation at any time is proportional to its value...

A: We will calculate the time, then we will calculate depreciation value.

Q: (d) Find the solution y = ¢(t) of the given problem and evaluate $(t) at t = 0.1,0.2, 0.3 and 0.4. y...

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Q: Square roots of 5(cos(120degrees)+isin(120degrees)) Find the roots of the given complex number in tr...

A: Given :square root of 5(cos120°+isin120°)

Q: sin 3t? limt-o 1-cos 2t

A: To evaluate: limt→0sin 3t21-cos 2t 00 form

Q: Find the transition points. y = 10x - 90x4 (Use symbolic notation and fractions where needed. Give y...

A: Given equation is y=10x6−90x4

Q: . The derivative of y = 3VX4 – cosx is - D. x*/3 + cosx A. x/3 + sinx В. 4х /з + sinx C. 4x*/3 + cos...

A: y=3x43-cosx⇒y=3x43-cosxThen dydx=(3×43×x43-1)-(-sinx)                           =4x13+sinx

Q: Suppose an object in circular orbit stops in a 6 position where cos(0) The terminal point 11 is loca...

A: Given :- cos(θ) =6/11 To find:- Value Sin(θ) and cos(θ) when θ is quadrant IV

Q: Question 3 (1 point) Suppose a, 3, and 7 are vectors such that = (3, 1, -5) and 7xa= (7, -7, 1). , b...

A: Find your answer below 

Q: find the equation of the normal line to the curve y=x^3 + 3/x at (1,4)

A: Solution ) Normal line is perpendicular to the tangent line  So first find slope of the tangent line...

Q: QUESTION 9 The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. ...

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Q: 4. If f(x) is any polynomial of degree 10, then the 9th derivative of f (x) is zero. 5. If f'(0) = 0...

A: A detailed solution is given below  

Q: 1. Show that the lines having the equations 4x- 3y + 12 = 0 and 8x 6y + 15 = 0 are parallel.

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Q: Find an equation of the normal line (the normal line is perpendicular to the tangent line) to the gr...

A: Slope of the tangent line to the graph y=xx+1 ism=dydx=(x+1)-x(x+1)2substitute x=1m=(1+1)-1(1+1)2=2-...

Q: Evaluate the integral. dx 9 2 4 16x- 81

A: This question can be solved by the concept of special integrals.

Q: An observer notices an airplane flying horizontally with a constant speed of 200 kph at an altitude ...

A: Given query is to find the rate of change of distance.

Q: Evaluate: using inner limits 0 to y and outer limits 1 to 2. а. 0.82 O b.0.375 с. 0.71 O d. 3.75

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Q: -2 - 5 if r 4 7 4- 3. -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -7 2.

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Q: Evaluate the following integral. - cosh x dx 2. sinhx- sinh x

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Evaluate the integral using integration by parts. 5x dx 5x dx =

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Q: Evaluate: xydydx using inner limit 2x2 to (1 + x) and outer limit 0 to 1. O a. 0.375 O b.0.71 O c. 3...

A: Given

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 60 bushels of fruit. She e...

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Q: 2x - 3 dx x2 - 3x – 10

A: we need to evaluate the integral :

Q: 3x2 + 9x + 6 Given the function f(x) = identify the x2 +x - 2 following. a) y-intercept: (0,_) b) x-...

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Q: Find the derivative of f(x) = x/ln (x)

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dv 3 V

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Q: substitution

A: We have to find value of the given definite integral according to the given information

Q: Find fy for f(x, y) = (In x) (sin x² y). O fy = (In x)(cos x²y)(2xy) O fy = (cos x2y)(x²) O fy = (In...

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Q: A train moves at a velocity of v(t)= 3t" - 3200t km/sec where t in seconds is the time passed since ...

A: Find your answer below 

Q: 2. Find the family of orthogonal trajectories of the given family of curves in the following equatio...

A: x2+2y2=kf(x, y, k) = x2+2y2-k =0differentiating w.r.t  x,2x + 4y dydx-0=0dydx= -x2ysubstitute -dxdy ...

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

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Q: sin y 11- nY dA where D is the region bounded by the curve y = vx and the line y=x, if y # 0

A: try not to ask multiple question at a time. solve double integral

Q: Find y' and simplify: y= cot(e Sin ) -esin t y' = 1+e2sin t sin t cos t y' = 1+e?sin t %3D sin t cos...

A: Topic:- derivatives 

Q: Given y = 3x2 and x = t2 - 1, find dy/dt for t = 1 %3D 1) 3 2) 6 3) 0 4) 12

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Q: QUESTION 1 Find Zx if z = In-

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Q: Find the volume of the solid with the base is the region enclosed by the parabola y = 1 – x? and the...

A: Let's find. 

Q: find fsubxz if f (x, y, z) = ye^x + x ln z

A: