Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

Q: Which one is correct for the sum of the geometric series O O O 9 10 11 5 17 10 6 5 O Divergent Σ1…

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Q: rticle subject to a force F(x, y) = (-6y, 6x) moves clockwise along the arc of a circle of radius 4…

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Q: ind the solution of the given initial value problem. y(4) 10y" + 25y" = 0; y (1) = 8+e5, y'(1) = 6…

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Q: Calculate the Taylor series for 1/x about 1. O 1+ (x + 1)(x-1) ²+ (x+1) ³-... ○1-(x-1) + (x − 1) ²—…

A: We know Taylor series expansion of 1/(1+x) is given by, 1/(1+x)= (1+x)-1= 1-x+x²-x³+x⁴-....

Q: The half-life of a certain substance is 3.6 days. How long will it take for 20 g of the substance to…

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Q: A car lease requires payments of $485 at the beginning of each month for 8 years. If the lease rate…

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Q: 30. Paolo's wife Cristina is not happy about the play area he proposes to build for their children.…

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Q: Two bacteria cultures are being studied in a lab. At the start, bacteria A had a population of 60…

A: Topic:- exponential growth function

Q: Express e in the form a + ib. (Simplify your answer completely.) z = −7+3″ i 447

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Q: Find the length of the dashed zig-zag path in the following figure. 34 0.75- 0.5+ 0.25+ 00.25 0.5…

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 9 x+5. x= Ilm…

A: Let's solve limit.

Q: Use spherical coordinates to evaluate 2πT fff c2-r r+z (r² + z²) ³/ rdz dr de.

A: Given ∫02π∫12∫02-rr+zr2+z232rdzdrdθ

Q: 5) You drop a basketball from a height of 8 feet, and let it fall and bounce. Every bounce, the ball…

A: We have to find the distance travelled.

Q: e2+8i = a + ib, where: a = b i = i

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Q: SW n=1 3n+2 2n+3 h

A: Given :∑n=1∞3n+22n+3n

Q: Select the graph that best matches the function. = -4 cos(x + ose y = O a) TL (-1/2, 4) (3x/2, 4)

A: Given equation:- y=-4cos(x+π/6)  To find:- Sketch the graph of given equation

Q: Let a-2-3j.kb-41-) and c-1-31-2k. If d is such that da-9. db-7 and dc-6, then d is equal to 01-31-2…

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Q: A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism…

A: Given :The spring is stretched 6 in by a mass that weighs 8 lband damping constant…

Q: Its saying the solution is wrong

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Q: Show that the vectors , and are coplanar.

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Q: - Evaluate sin x dx using 3 i. Trapezoidal rule ii. Simpson's rule iii. Simpson's rule, taking n = 6

A: We have to evaluate ∫0π2sin x dx. Here a=0 and b=π2=1.570796 Given n=6 ∴ h = b-an = 1.570796-06 =…

Q: 5. Find the divergence and curl of the vector field F(x, y, z) = (xy - 2², 2x+cos(yz), 2y² - sinz)…

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Q: 2. A person invests $2,125 in an account earning 9% per year compounded continuously. How much will…

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Q: Calculate M6 for f(x) = √√2x over [3, 6]. (Use decimal notation. Give your answer to two decimal…

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Q: 13. A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light which…

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Q: Calculate L6 for f(x) = √√7x + 3 over [1, 3]. (Give your answer to three decimal places.)

A: The given function fx=7x+3 over the interval 1,3 we have to the left Riemann sum using 6…

Q: The cost function for a particular product is given by C(x)=0.001x^3 −0.24x^2 +27.9x +110 dollars,…

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Q: 2. f cos²xsin² xdx

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Q: Find f   f '''(x) = cos(x),    f(0) = 7,    f '(0) = 6,    f ''(0) = 5

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Q: Prob. 5 (a) () Find all points where f is discontinuous. Classify these points (if any) as removable…

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Q: 7. Let C be the portion of the circle x² + y² counterclockwise. (a) (b) Evaluate La xy dy. = 4 from…

A: Let's solve given integral.

Q: 7.) A lot in the shape of a quadrant of a circle of radius 100m. Find the area of the largest…

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Q: Find the distance of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

Q: The area of the surface obtained by rotating the curve y = √√x + 1, for 0 ≤ x ≤ 2, about the x-axis,…

A: Given :

Q: Calculate the volume under the elliptic paraboloid z = 4x2 + 6y2 and over the rectangle R = [-2, 2]…

A: The solution for the above question is shown below.

Q: Relative to the basic function f(x): shifted 3 in which direction? O a) left Ob) down Oc) up O d)…

A: We can answer the question as below.

Q: Let C be the positively oriented square with vertices (0,0), (1,0), (1, 1), (0, 1). Use Green's…

A: Let's solve by using green theorem.

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

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Q: (b) : Verify that the Intermediate Value Theorem applies to the indicated interval and find the…

A: Given , f(x)= x²-x in the interval [1,5]

Q: Find all values of c such that fis continuous on (-∞,). C= 7-2², a se - ذکر (smaller value) (larger…

A: Given query is to find the value of c so the function is continuous for the provided interval.

Q: Given the following function, f(x) = -2x^3-9x^2+108x-10 , find: a) The inflection point(s). b)…

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Q: y" + 3y' + 2y = U₂(t); y(0) = 0, y'(0) = 1

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) lim_(x². + +x+5)…

A: We have to find the one side limit

Q: IV. Determine whether the following series converges or diverges. Show your complete solution. +∞o…

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, ƒ'(1) = 1, g'(1) = 5. For the following…

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Q: If the average value of the function f(x) on [0, equal to what is Select one: O 24 O 9 O 6 02 3 1…

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Q: he crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is R(x)…

A: R(x) = 51500x4.14 + 1.09  x = 0.08 dx = Δx = 0.006 R(x) =R(0.08)=2.6

Q: work. a) ( i) Find the exact length of the curve 1 <2

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Q: Finding the Volume of a Solid. use the shell method to write and evaluate the definite integral that…

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Q: Convert the point (ρ,θ,ϕ)=(6,11π/6,π/2) to Cartesian coordinates. Give answers either as…

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