What is the distance of following line to the origin  [20, 21] . [x, y] = 29. Round your answer to 3 decimal places, if needed.

Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.574…

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Q: Determine whether the series converges or diverges: Input C for convergence and D for divergence: Že…

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Q: Assume that and y are both differentiable functions of t and are related by the equation 7- cos (62)…

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Q: (part 2 of 4) Determine fxx + fyy when f(x, y) = (x - 5)(y+3)(x+y+1). 1. fxx + fyy = 2(x + y − 2) -…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Is the following series convergent or divergent? 1 Σ Inn n=2

A: Given data, ∑n=2∞1lnn

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 0 0 -L-…

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Q: Is the following series convergent or divergent? Einn I n=2

A: Given: ∑n=2∞1lnn

Q: answer

A: We have to show that limit does not exist according to the given information

Q: Use the Integral Test to determine whether the series shown below converges or diverges. Be sure to…

A: Given, ∑n=1∞5n2+49

Q: Suppose g(x)=√x. What is the correct expression for the result of - when simplified?

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Q: Q6. Verify that 8²1 əxəy for the function f(x,y) = ln(2x + 3y)

A: Given,            fx,y=ln2x+3yTo find : Verify that ∂f∂x∂y for the given function.

Q: B. ROLLE'S THEOREM Determine if Rolle's Theorem is applicable on the specified interval. If so, find…

A: Rolle's Theorem :Consider the function on a,b , then (i) f(x) is continuous on a,b(ii)f(x) is…

Q: 1. A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined…

A: A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that…

Q: 5a Compute the values of dy and Ay for the function ye dy Round your answers to four decimal places,…

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Q: An open box is to be made by cutting squares off the corners of a rectangle 60 cm by 160 cm and…

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Q: TOPIC. CURVE SKETCHING f(x): = Intervals a. Find f'(x) and f"(x). b. Determine the following…

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Q: y" - 10y' = 2sin3x; y(0) = 1, y'(0) = 3

A: Given differental Equation:- y''-10y'=2sin3x

Q: Find the derivative of f(x) = a ab b (2²+42-10). - (25-62) (2². 6 7x +24x √ā |a| T sin (a) 5 3 2 -…

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Q: The plane perpendicular to the y-axis at (0,4,0)

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

Q: log(3x+5)+4=6

A: Given, log(3x+5)+4=6

Q: Evaluate the following integral, (x² + y² + z²) ds, √(x² + where S is the part of the cylinder x² +…

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Q: Find the derivative of f(x) = x tan¯¹(x) + ln(√1 − x²).

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Q: Hi i just would like to ask if its correct the answer is not in the option

A: answer and explanation provided is correct options are wrong

Q: Determine the values of where the function f (x) is not continuous. Label each discontinuity as…

A: Given Functionfx = x3+5x≤3x+3x>3

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. S - f³ ct…

A: The given function gs=∫7st-t43dt. We have to find derivative of gs, using Fundamental theorem of…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Find the inverse of a given function. Problem:  Find f -1, the inverse of f. f(x)= x3 + 9

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: 4. S sec(inx) dx x

A: ∫seclnxxdx

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of…

A: The given function fx=x3-3x2-9x-5. We have to find the relative extrema of fx.

Q: ind the slope in the x-direction at the at P(0, 2, ƒ(0, 2)) on the graph of f when f(x, y) slope = 0…

A: We will find the required.

Q: Determine fay when 1. fxy 2. fxy 3. fxy 4. fxy 5. fxy f(x, y) = y tan = = = = = x² y (x² + y²)² 2xy…

A: Topic - Partial differentiation We are given , f(x,y) =y tan-1yxddxtan-1x=11+x2ddx(u·v)=uv'+vu'

Q: A ladder 10 m long is leaning against a vertical wall. If the bottom of the ladder is pulled…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Q-2: a) Let f(x) = x³ - x²-24x - 4. Find the intervals at which f is increasing or decreasing.

A: As per the rules we are supposed to answer the first question and rest other can be reposted.

Q: Find the derivative of the following using the Four-Step Rule. 1. f(x) = 2x^2 - 3x + 4

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let ƒ be a function that is differentiable for all ï. Suppose lim_ƒ(x) = 0 and lim_ f'(x) = 16. Then…

A: We need to determine limit.

Q: For the parametric equations: x = and y = 147e49t (write the number answer only in the box) (ii) dx…

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Q: IV. Assume that W(t) denote the amount of radioactive material at time t. Radioactive decay is…

A: we will find the required.

Q: Note that the portion of the graph for −3 < x < 0 is the boundary of a circle centred at(0, 1).…

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Q: Generate solution of the higher-order differential equations using different analytic techniques.…

A: The differential equation is given as , 2D4-2D3-2D2y=0

Q: 3. 3 2 P + 40 -7P+2 =o

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Q: 1. Consider the graph of a cubic function. a. Determine a quadratic function that could have been…

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Q: Evaluate the indefinite integral. Use a capital "C" for any constant term. 3 /(-28/8) dz = [ dx x5/3…

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Q: Let f(x) = 4√√x+5x. Verify that f(x) satisfies the conditions of Mean Value Theorem on the interval…

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Q: 3. S sec² x tan² x+4 dx

A: dtanxdx=sec2x∫1a2+x2dx=1atan-1(xa)+c

Q: (k) z = ln (√u² + 25 - u)

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Q: Consider F(x, y, z) = x² + y² + z² such that x = r sin q cos 0 ; y = r sin q sin 0; and z = r cos p.…

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Q: get the homogenous solution then solve after getting the new equation xy' = y(lnx-lny), y(1) = 4

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Q: S x³√x²-7dx X X 3

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Q: F(s) 1 (s² + 1)²

A: