Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

Q: 2. The function g(z) is obtained by applying the following transformations to the function y=-8. A…

A: Given problem:- The function g(x) is obtained by applying the following transformations to the…

Q: Find the area of the region in the first quadrant bounded by the curve y = √√x² + 5, the x-axis and…

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Q: a body at a temperature of 50°F is placed in an oven whose temperature is kept at 150°F. If after 10…

A: We can use differential equation or Newton law of cooling to solve the problem

Q: Find the directional derivative of f(x,y)=sqrt(x²+y²) at P(4,- 3) in the direction of μ=[8,-15].

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Q: ·S √ 6. dx x² - 4x + 13

A: ∫1u2+1du = lnu+u2+1+C

Q: Use multiple application of simpson's 1/3 rule to numerically in- tegrate: f(x) = 8 + 5 sin (x) 0 to…

A: We need to use Simpson's one third rule.

Q: Find the ordinary interest on a loan of $850 at 11% annually made on February 10 and due May 31

A: Given, P= $850 I=11% T=(May 31) -(Feb 10) =110 days,

Q: Q3: The equation of the tangent line to the graph of y=f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

A: Topic:- geometry

Q: 4. (a) Find the general form of the equation of a line through A (2,-2) and B (-2,3). 4. a) (b) Use…

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Q: Consider the differential equation y" = ef + xy' where y is considered to be a function of . In this…

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Q: Z A Consider the tetrahedron ABCD with vertex A at the origin as shown: (a) Find the equation of the…

A: Given that: A=0, 0, 0; B=0, 0, 3; C=0, 4, 0; D=6, 0, 0 We have to find:  a) An equation of a line…

Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: 3πt -? What is the value of Sin 4 2. What is the value of Tan 3

A: Given sin3π4            ⇒sin3π4=22=0.707

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A: Solution is here

Q: xy h) log₂ = Z i) log2 (2/2) =

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Q: use your calculator. 3 -2 7 8 -2 2 - 4 -12 7 0 4 3 4 7 4 7 2 8 7 -2 3

A: det3-2478-2-2047444-247-1237-2874-23Reduced echelon form is,=det…

Q: a) The law of Cosines Given: a = 55 b=25 c = 72 Find: A-? B-? C-?

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Q: 2. The graph of f(x) is shown to the right and has the following characteristics. 100 f(x) = x55x4 +…

A: We can solve this as follows:

Q: P1: Calculate the area bounded by the curves: C. y = e²x and x - 2y + 5 = 0..

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Q: Given the velocity field V = (5x)i + (15y+11)j + (19t) k m/s, determine the path of a particle which…

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Q: 5. Estimate to 4th place accuracy, i.e. within 0.00005 of cos(2º) using its Mac- xpansion. Justify…

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Q: Q9: The Law of Sines ( a) Given: B = 10° C = 135° c = 45 Find: A-? a-? b-?

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Q: Find the area of the region between the graphs of y = 16-2² and y = -4≤ ≤ -1. The area is 2x+8 over…

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Q: Suppose that a company's production for Q units of its product is given by the Cobb-Douglas…

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Q: Evaluate the integrals. -32 a. S x-6/5 dx 1 -π/³1 - cos 2x b. 2 -TT/3 -dx

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Q: Differentiate the function with respect to y. A Z = + Bey z' = уб 6

A: Differentiate the function with respect to y and with respect to t in second question

Q: у ху X Sin x

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Q: JC LUDJE SH 31 Exercises 4.4 Use Laplace transforms to solve the given different d²y dy 1. 3- + dx²…

A: Topic:- application of integration

Q: Find the equation of the tangent plane to the surface f(x,y)=In(4x²-2xy-y²) at the point P(-1,-1,0).

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Q: Describe all of the operations involved in (a - b)(a c) — 2ã · (b × c) - Explain whether the final…

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Q: Let f(x, y) = x³ + y³ - 2x²y². Calculate fa, fy, fax, fyy and fry. Hence show that (3/4, 3/4) is a…

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Q: A population of birds on an island is initially 380 birds, and it doubles (or grows by 100%) each…

A: It is given that initial population of birds on an island is 380. Each year population of birds gets…

Q: Consider the following graph. Step 2 of 2: Determine the x-coordinates of any inflection point(s) in…

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Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Δy ~

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Q: 1 Determine the volume generated of the area bounded by y=√√√x and y=- 2 A 154/15 B 112π/15 C 128/15…

A: Given; curves y=√x , y=x/2 rotated about x=5

Q: Evaluate the integral. Please show step by step! S sin x 1-2 sin² x cos²x dx

A: I am attaching image so that you understand each and every step.

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x - cos x (a) lim…

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Q: The surface of the sun has dark areas known as sunspots that are cooler than the rest of the sun’s…

A: As per guidelines, we are going to solve only one problem. So please repost the other problems…

Q: It is estimated that the rate of change of the population of a certain town will be P' (t) = 4+…

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Q: A ramp is inclined at 12° to the horizontal. A cart is pulled 8 m up the ramp by a force of 120 N,…

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Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

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Q: b) Use chain rule 1 y= LESANNE aretan u where u eª ue

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Q: 3. Given f(x) = cot(x) sin(x) and g(x) = cos³(-x)(sec² (x)-1) sin² (x) a. Prove that f(x) = g(x).…

A: Given that,  fx=cotxsinx and gx=cos3-xsec2x-1sin2x

Q: 4. 2ydx + (x x³y³) dy = 0

A: Here we have to solve the given differential equation

Q: Ao -47 -2π 2tr 2TT 21 t²dt = = =²1²³² = 31² t 82 ㅠ cesnt dt = 21 t² sinnt = [² s + n 2t c3nt 2sinnt…

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Q: Find the area that lies inside both curve: r = 1 – cos(θ) and r = 1 + cos(θ). Draw.

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Q: 1. Solve the following differential equations d²y_dy dx² dx — - +2y=x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Evaluate the following integrals I 1. x² - x 1+3x²2x³ dx J₁ 2. /1+2 I dx 1 + 2 sin r ²+2 3. da x + 1…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: II. Coefficients Linear in Two Variables 1. (6x-3y+2)dx-(2x-y-1)dy=0 2. (9x-4y+4)dx-(2x-y+1)dy=0

A: We can solve the given differential equation.

Q: Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. lim f(x)g(x) lim (2f(x) + 3g(x)) lim…

A: Given limx→-4f(x) = 3 and g(x) = 1.