Let the position function of a particle be r =

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A: I have stated the used formulas in the solution

Q: for evey 2 adults there are 3 children if 275 ppl attend how many kids are there

A: given that, for every 2 adults,there are 3 children total number of people=275 how many kids are…

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A: We have to find the derivative.

Q: Find the area under the curve y Т over the interval [1,4]

A: Topic = Area

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Q: Z = (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0,…

A: We have to find the equation of plane passes through the points and volume

Q: SEND IN 20 MINUTES PLEASE !!!! Find the absolute max. and absolute min. values of f on the given…

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Q: Evaluate f(x, y, z) dV for the specified function f and B: JB f(x, y, z) dV = f(x, y, z) = Z x 2 ≤ x…

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Q: Let a = -17 +83 +9k and b = -87-23 + 3k. Find a b Check Answer

A: Given vectors are a = -1i+8j+9k and b= -8i-2j+3k Find:- a.b

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Q: Find the mass of the surface lamina S of density p. S: z = √₂²x² - y², p(x, y, z) = kz ka+n 2 X

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Q: Use Taylor series you already know to find the Taylor series generated by f(x) = x sin(6x) at x = 0

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: y (2x + y 2) dx O a. y (2x + y) = Ce - 2(x + y) dy = 0

A: y2x+y-2dx-2(x+y)dy=0 Lets check for exactness.…

Q: State whether the given sums are equal or unequal. 20 20 Aj and ke j=1 k=1 O Unequal O Equal > Next…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + 7 x dy = (3x72xx)dx…

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Q: Answer: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² +…

A: Let's find volume by using triple integral.

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 4x² +…

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Q: Find a vector with initial point (-4,-2, 1) and terminal point (-12, 5, -8). Then find a unit vector…

A: Given problem:- Find a vector v→with initial point -4,-2,1 and terminal point -12,5,-8.Then find a…

Q: tan x-sec²x +3=0

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Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

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Q: 1261 (2x+1 dz 4-3x -x² 1 (((x+) dx (3) 28 (2x-3 dx √(x²-1) (2x+3) 31 32 33 dx √(x²+1) (2x+1) alx…

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Q: Let the position function of a particle be r = (t, t², 0). Find the normal component of the…

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Q: Find the limit, if it exists. 8x Ilm x---x+ 2 Submit Answer

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: Given: ∫05|10x-5|dx

Q: TU f2 sin² p cos6 p dp

A: Solution is given below:

Q: Let f(x) = 10x + 12 - 9e. Then the equation of the tangent line to the graph of f(x) at the point…

A: given f(x)=10x+12-9ex

Q: -5-4-3-2 Ob Oa Oc Od 1.- 1 -1- -2 -3- y 3 24 1 12 Check Answer 345 +4-3 -5-4-3-2 243 116,536 1 -1-…

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Q: er of cars produced when a dollars is spent on labor and y dollars is spent on capital invested by 1…

A: Topic:- application of derivatives

Q: Evaluate J 2xz dV where E = E Round your answer to four decimal places. {(x, y, z) | 2 ≤ x ≤ 5, x ≤…

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Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: Let E be the solid below z = 50- x² - y² and above the square [-5, 5] × [-5, 5] Given the solid has…

A: Let's find moment of inertia of E about z axis.

Q: π 7. fz sin¹x cos¹ x dx

A: To evaluate the following integral by using Walli's formula.∫0π2 sin4 x cos4 x dx

Q: c) 2x²8x + 4x³ - 4

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Q: A body of mass 4 kg is projected vertically upward with an initial velocity 34 meters per second.…

A: Solution is given below:

Q: 2 area of region .25 and 2 Use horizontal strips to find the area, that is, integrate with respect…

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Q: Find the area of a triangle PQR, where P = (-4, -2,-2), Q = (-5, 2, 5), and R = (-2,5,-4) Check…

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Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: TU 2. fz sin² x cos4 x dx J

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Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: 2. Which expression represents the volume of the rectangular prism shown? 2x - 3 a) (2x - 3) + (3x +…

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Q: 2. a) Find and fully factorise the derivative of f(x) = (2x + 1)2 using expansion and the power…

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Q: Prove that the given transformation is a linear transformation - ( ) T: R³ R³; Ty = x+y+z/ + y

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Q: Find the exact average value fare of f(2)=√16-2² between 0 and 4, then find an exact number e in…

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Q: 5) each k=1 (- series, find the sum. k - 1 6) k=1 +1) (k+2)

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: We have to find open intervals on which the graph is concave upward or concave downward

Q: Evaluate the integral: (A) Which trig substitution is correct for this integral? 1 0x = -sec (0) 10…

A: The given integral is: ∫dx64-10x232 (B) To find: Which integral do you obtain after substituting for…

Q: Find -(62). Type In(x) for the natural logarithm function. da

A: Topic = Derivative

Q: Evaluate the Integral using the following values. -206 [³x² dx = 260, [°x dx = 10, [° dx = 2 (22-7x…

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