y = sin(x), y = 2x

Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Given that rate of decay of radium is proportional to the amount present at that time.

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: We need to find partial derivatives.

Q: A particle travels along the r-axis such that its velocity is given by v(t) = t2 cos (3t + 2). What…

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Q: To begin evaluating S sin*(x) · cos³(x)dx, express a. sin*x to (sin²x)²and use the identity sin²x…

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Q: ntify the u , ress the final answer in its simplest form without onents. Thank You! du and other…

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Q: cot'x csc'xdx 4.

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Q: dx 4. S x²+4x+13

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Q: Directions: Choose the letter of the correct answer. Write the letter that corresponds to the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: (1 point) Find a vector orthogonal to both (-5, –2, 0) and to (0, -2, 5) of the form (1,

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Q: A triangle is defined by the three points: A = (8,7) В 3 (5, 2) C = (7,9). Determine all three…

A: Given problem:- A triangle is defined by the three points: A = (8, 7) B = (5, 2) C = (7, 9) .…

Q: I need to find the rieman sum not the area

A: Left Riemann sum is same as the area of the rectangles with the left endpoints on the curve.  From…

Q: Each side of a square is increasing at a rate of 3 cm / s . At what rate (in cm^ 2 /s) is the area…

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Q: dx is x V16x2-25 3.

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Q: should i write it with variables like x = 11, y = 11, z = 4? but it says exact number, no tolerance.…

A: The answer has exact form. You will not have to enter the variables.

Q: 2 3x-x² lim X→-2 х2-х-6

A: We have to find limit

Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm. What…

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Q: (³ +2w)® 6. Find dy/dx, given the following: y = /2x–4 3(3=° +2) (z"+2) O (E) None of the choices…

A: Formula ddxuv=vdudx-udvdxv2 ddx(xn)=nxn-1 ddx(x)=12x 6. Given y=(x3+2x)32x-4 Differentiating with…

Q: The vertices of quadrilateral ABCD are given as A(0, 3, 5). B(3, – 1, 17), C(7, –3, 15), and D(4, 1,…

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Q: 4. Determine the general equation of the plane containing the points P(1, –4, –5), 3 Q(2,0, 13) and…

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Q: Wind Chill Factor A formula used by meteorologists to calculate the wind chill temperature (the…

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Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

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Q: Let y(x)=1/x+3 Estimate the slope of the tangent line of y(x) at the point x=1.

A: Given query is to find the slope of the tangent.

Q: Find the exact area of the surface obtained by rotating the curve x = 2t² +÷,y = 8/t,1<t<3, about…

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Q: Complete parts (a) through (d) 149 a. Graph the function f(x)= for x=0 to x= 10. 1+4e -2x b. Find…

A: We have to find graph

Q: Sx² e**dx 1.

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Q: ny ways can 12 students be seated around a circular

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Q: In x dx

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Q: .3. cot°x csc*x dx

A: Find your answer below

Q: 2 1. Given: h (t) = : ; Find h'(t). On (t) = 8t° (1+t²) (1²+2)³ 8° (t² –1) (1²+2)° ON (t)* O (t)…

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Q: a. What is a convergent sequence? Give two examples. b. What is a divergent sequence? Give two…

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Q: y = (1+) - (1+)*

A: We have to find dy/dx for the given function.

Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km /…

A: Given : Time =9.65 s Distance =100m

Q: 4. 4. | cotx csc*xdx

A: We have to find the integral

Q: 9. Given y = Vx – 2/x – 2; Find y'. | Vz-2–1 2/ (z-2)(z–2/z–2) O (E) None of the choices 1-VI-2 5…

A: Given problems:- 9.  y=√(x-2√(x-2))  To find :- y'  10. Find the slope of the line that is tangent…

Q: Advertising You are the marketing director for a company that manufactures bodybuilding supplements…

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Q: x =r' +1, y=r -t d'y d’y b) Find dx?

A: Given: x=t3+1 and y=t2-1

Q: Find the solution. y'+=V5.y(1) = 0

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Q: d d Calculate r (t) · r2(t)] and r (t) x r3(t)] first by differentiating [ri(t) x r2(t)] first by…

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Q: Write an equation of the plane with normal vector n= (2,8, -4) passing through the point (3,-9,-5)…

A: Vector equation of plane is used.

Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.5x + 350, what is the…

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Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

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Q: Consider the following. t = − 4?/3 (a) Find the reference number t for the value of t. t =    (b)…

A: We have to find the reference no t and terminal point determined by t.

Q: 2. Let A = (1,0, 2) and B = (6, –2, 3). Solve for projĄB.

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Q: 1. Find the first derivative of the function g(I) = 81+ 12z - 48T. g'(z) = 2. Find the second…

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Q: Given the differential equation and its initial conditions y" + 7y' + 12y = 8 with y(0) = -2 and…

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Q: Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here…

A: We can solve the given problem as follows:

Q: .John can swim at 4km/h in still water. He wishes to swim across a river to a point directly…

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Q: If y = 5u² + 1; u= 2 , find dy %3D do O 21 O 20 O 11 O 10

A: Given : y=5u2+1 ; u=2x   To Find : dydx

Q: Find the curl of the vector field F=(2xyz, -xy,-z^2)

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Q: Prove or disprove. If the substitution u = f(x)dx becomes g(u)du, and if an indefinite integral of…

A: Given problem:- Prove or disprove. If the substitution u = Ø(x) is such that f(x) dx becomes g(u)du,…