10 10 If f(x) dx = 19 and f(x) dx = 6, find the following. %3D f(x) dx

Q: Which type of discontinuity does the function exhibit at x = 3? %3D (-x2 + 1, -1 sx<0 2х, f(x) =…

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Q: 20) Solve the higher order initial-value problem y"=x+1/x;y(2) =1 and y '(2) = 0 1 7 7 1 15 + -- X-…

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Q: 3 - (3x + 3ry')dx - (3y - 2y - 3xy)dy = 0

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Q: of tue reigon boundrd by the graph of tue algebraic fundin. 2) Find tue asea f(x) = x+12x +36 2 =…

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Q: Find all first and second partial derivatives of the following function: f (x, y) = e*Y + y sin x.…

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Q: 2. S 2z+8 dz (z+7)a

A: A detailed solution is given below

Q: 2. Find an equation of the plane containing the point P (0, -) and the line determined by the two…

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Q: 5 8. Let f(x) =-x + 4 cos 3x. On the interval 0 < x< 2n, what is the average height of the function?…

A: A detailed solution is given below

Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

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Q: I can't understant the solution :<

A: Let, radius = r Height = h When r = 8, then h = 22. Using this we get a relation between r and h.…

Q: Use Green's Theorem to evaluate the line integral (y - x) dx + (2x – y) dy for the given path. C:…

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Q: Evaluate the iterated integral. T/4 '5 y cos(x) dy dx

A: A detailed solution is given below

Q: Use an appropriate form of the chain rule to find the derivative. R= e5s-t. s = 80, t= ¢!/2 %3D dR…

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Q: csc(6x) 7. lim x- csc(2x)

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Q: lim (t i - 6 j +1° k). -5 (t i – 6 j + r² k) = i i+

A: Topic:- limit and calculus

Q: n² +1 2. Determine whether the series E 2n? +1 is convergent or divergent. If it's n=1 convergent,…

A: Given

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: d d. Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly…

A: r1(t)=9t i +9t2 j+6t3 kdr1dt=9 i +18t j +18t2 kr2(t)=t4 kdr2dt=4t3 kr1(t)·dr2dt=(9t, 9t2, 6t3)·(0,…

Q: n° converges or diverges. If it 3. Determine whether the sequence a, n° – 2n° converges, find the…

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Q: The water level in a glass decreases 0.4 cm each hour due to evaporation.  At the beginning of the…

A: The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the…

Q: 1) Find and of the following equation then simplify whenever possible. dx x = 2u* – u3 + u – 11 , y…

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Q: Verify Green's Theorem by evaluating both integrals ƏN dA y? dx + x² dy = ay for the given path. C:…

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Q: Evaluate -5x lim,→0 tan x O -5 O 1 O 5

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Q: View Policies Show Attempt History Current Attempt in Progress Your answer is incorrect. Find T(t)…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: 3/xyy' = 5

A: We have to solve the differential equation  3xyy' = 5.

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given

Q: What is the annual nominal rate compounded daily for a bond that has an annual yield of 5.2%? The…

A: Use formula of annual percentage yield

Q: d Calculate ri(t) r2(t)] and rı(t) x r2(t)] first by differentiating dt the product directly and…

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Q: Find the center and radius of the sphere that has (7, –6, 2) and (9, 12, –6) as endpoints of a…

A: The objective of the question is evaluate the center and radius of the circle

Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

A: A company manufactures rope, and the total cost of producing r feet of rope is Cr dollars.To…

Q: Find the general solution to the ollowing differential equations: (A) y = 2yx(y'+3)+13x %3D

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Q: (2x – 3y) dx + (2y – 3x) dy

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Q: Find the arc length L of the graph of r(t). r(t) = 5 cos(t)i + 5 sin(t)j + tk, 0<t< 2n L =

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Q: 5. Which of the following is equivalent to (v2/2 – iv2/2) ? O -2 O 1 O -1/2 O -1 O 2 O 1/2

A: We have to find the equivalent of given complex number.

Q: a/a + b/b 189 a/b + b/a = 180 Find a and b value

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Q: Evaluate

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Q: Evaluate the following limit: lim x→2+ x – 2 O No answer text provided. |- 1/2

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Q: A man 6 ft tall is walking toward a building at the rate of 5 ft/s. There is a light on the ground…

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z =…

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Q: Find the limit V1+t4 dt lim

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Q: 2x 1- cos x Graph f(x) = sin for Osxs2x by using transformations. 2 2- Use the graphing tool to…

A: To find: the graph of sin2x2 = 1-cosx2 for 0≤x≤2π Graph of cosx will be as following

Q: dz and ду dz Find z = a° In (1+ cy) az dz ду ||

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Q: Find div F if F(x, y, z) = (x² + y) i + z² j + (ey - z) k. 2x - 1 O 2xy i +k O 2x i -k 2хy - 1

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Q: Write an integral that will give the area of the region in terms of dx (b) Write the integrals (do…

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Q: 8.) A box with a square base and no top must have a surface area of 48 square inches. Find the…

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Q: 6) Find the linear approximation to R(t) = VE at t=32 Use the linear approximation to approximate…

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Q: A cylindrical water tank 8 meters high with a radius of 2 meters is buried so that the top of the…

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Q: 25. The graph of y = a* +b is shown below. Find the EXACT values of a and b. 6- (2,5) 4- 2- y = a*…

A: This question is based on substitution of points.

Q: Use the following information to answer the question below. lim f(x) = 3 lim f(x) = ∞ lim f(x) = -3…

A: Information of the function is given, we have to find the required values