Question Evaluate the following limit using L'Hospital's rule. lim 3 In (x) 15х — 15 Provide an exact answer. Sorry, that's incorrect. Try again? lim x→1 3 In(xr) 15х — 15

Q: 2. Examine the given graph of f(x) and evaluate the following. 44 а) lim f(x) = d) lim f(x) = 2 lim ...

A: We have to find the limit of f(x) using the graph of given function.

Q: An object moves according to the function h(t) = -t² + 13, where h(t) is the height, in meters, and ...

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Q: f (x, y) = –3x²y + y³ satisfies Laplace's equation fex + fyy = 0

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Q: Evaluate the line integral along the given path. (Give your answer correct to 2 decimal places.) | 6...

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Q: y" – 3y' + 2y = 2x² + 1

A: The Solution is given below

Q: 11. Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bom...

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Q: Write the trigonometric expression as an algebraic expression in u. cot ( cos 'u) cot (cos 'u) = (Ty...

A: Inverse function

Q: to, thenk is15 not a - andly-k) 5/15 not a If fQ) =0,thvnk 5/5 not cs ond Oxok) Is/15 not a

A: The Remainder theorem says that if a polynomial P(x) is divided by (x-a) then remainder obtained is ...

Q: x° + x dx Vx3

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Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15 ...

A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75 8:3...

Q: Objective: Determine the form of a particular solution for each differential equation. y" – 2y' + y ...

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Q: Hello, I don't understand the equation may someone help me out, may you also write the work and answ...

A: The value of the limit of the given sequence is 1.

Q: . Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. a...

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Q: T if the statement is true; otherwise, write F. (x) =, lim f(x) = f(2) %3D %3D x2 6+4t 3 t2+1f(-3) F...

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Q: Country Population Size Number of Eggs Consumed Number of Cattle Area United States 325 millio...

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Q: . 2yda + (x – x³y³) dy = 0

A: here we have to check whether the differential equation is exact or non exact.

Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).

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Q: Find an equation of the tangent to the curve

A: Given that: x=tcost and y=tsint

Q: For what Values Of X IS tne wing geommetric series convergent? 1++ 27 1) x>0 2) -1<x<1 3) -3<x<3 4) ...

A: Topic:- series   

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root!

A: fx,y=y-2x Since value under the root will be ≥0 So range of f will give square root of non negative ...

Q: write the given expression in the form of u^2 - a^2: x^2 - 6x + 5 is equal to. SUBMIT YOUR SOLUTION ...

A: Here we have to use the completing square method

Q: if f(x)=4x^2+7x+6, find the equation of the line tangent at x=-2

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Q: y = In (sin x²)

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Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

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Q: 3- -3 -2 -1 1 2 3 Refer to the graph below to answer the following 5 questions. Record your answer t...

A: Part (a) As we see when x tends to -3, the left hand limit and the right hand limit of the function ...

Q: 3. y'= 1t 3y tan x

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Q: 1. Find the limit of the following: x° – 11x +37x* +6x' – 297x? +621x – 405 lim. x* —11x* +47х* -114...

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Q: QUESTION 4 Given f(x) = 8x³ + 2x. Estimate the value of ƒ(2.01) using differential. %3D

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Q: A pyramid of height 500 ft has a square base 800 ft by 800 ft. Find the area ? at height ℎ....

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Q: Linear Differential Equations (20) 3xy' – y = In(x + 1)

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Q: cof), 5T Cos What is the exact value of 4

A: Find the exact value of cos(-5π/4)

Q: No, last te 10

A: FOLLOW THW PROCEDURE GIVEN BELOW.

Q: Find the solution of the following differential equation. 1. (e* + Iny + ) da + ( + In æ + sin y) dy

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Q: Let f (x, y) = Vy – 2x Evaluate f(3, 10)

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Q: f A is 3 × 3 and det(2A-1) = -3 = det(A³(B¯1)"), find det B. 32 a) 을 (b)을 (e) (d) (e)을 83 34 23 83 (...

A: Topic:- matrix algebra

Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

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Q: If the solution of y' = cos x - y sec x passes through the point (0,1), determine y when x = TT radi...

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Q: (2xy + 1)dx + (x² + 4y)dy = 0 (17) (18) (6xy + 2y² – 5)dx + (3x² + 4xy – 6)dy = 0

A: 17)   Given that 2xy+1dx+x2+4ydy=0  Here  M=2xy+1,       N= x2+4y Therefore     ∂M∂y=2x,            ...

Q: Exact Differential Equations (16) (17) (2xy + 1)dx + (x² + 4y)dy = 0 (18) (6xy + 2y² – 5)dx + (3x² +...

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Q: (a) What is the relative growth rate? Express your answer as a percentage. (b) What was the intitial...

A: Follow the procedure given below.

Q: Question Evaluate the following limit using L'Hospital's rule. 1 lim 4x cos 6x4 Provide an exact ans...

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Q: Find the general solution of 4y'- 23y" - 33у" -17у — Зу 3D 0

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Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

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Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

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Q: Write out the first five terms of the sequence with, 19 00 n determine whether the n=l' sequence con...

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Q: Question The graph of the polynomial f(x) is given below. If f(x) has degree 4, find the factored eq...

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Q: 7. Evaluate the integral I | sin(9.r² + 4y²)dA by hand, using an appropriate change of variables, wh...

A: The given question can be solved as shown in step2

Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+ 2...

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Q: 2. Complete the following tables of values f(x) -1 -0.8 -0.35 -0.1 -0.09 -0.0003 -0.000001

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