Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√x² + y² + z² (8, 4, 2) Vf(8, 4, 2) = Find the maximum value of the directional derivative at the given point.

Q: Tative maxi f(x,y)= 18y² + x²-x²y values and the saddle poin Find the relative maximum. Select the…

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Q: Consider the following equations. f(x) = x5 + 3 g(x) = x + 3

A: Here we have to plot a graph.

Q: 1 Defennire it the following series is Convergent divergent. E n=1 3 ²+2

A: since multiple questions are asked, I am answering first question

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector.…

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Q: 5. S dovod ev

A: topic- indefinite integral

Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

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Q: 2 = (x10 (ن) . A (b-a) [(ejob ejun -e سلم) ] - Coll - وسلام

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Q: 1.) Use the arc length formula to find the length of the curve y = 3x + 2 on the interval 0 ≤ x ≤ 3.

A: Given data  y=3x+2 Interval ÷ 0≤x≤3 Formula for arc length is given by  L=∫ab1+dydx2dx

Q: A linear function is given. g(x) = −6x + 2 (a) Find the average rate of change of the function…

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Q: Find the general solution of the differential equation y" y 42y = -122t+84t². - - NOTE: Use t as the…

A: Follow the procedure given below.

Q: = In (). 5. If z= In determine if the following statement is true or false. Justify your answer.

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Q: Find the component form of u + v given the lengths of u andy and the angles that u and v make with…

A: We can solve this as follows:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Use, 0 = 60°, to write the rotated conic section given below, in the x'y'-plane. x² - y² = 9 Select…

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Q: Find the angle between the vectors in radians and in degrees. u = 8i + 3j + k v = 3i - 8j (a)…

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Q: Find the general solution of the differential equation. y"" - 5y" - 25y + 125y = 0. NOTE: Use c₁1,…

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Q: Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)

A: Given points , A(6,2,5) B(9,2,8) Therefore a=6i+2j+5k b=9i+2j+8k

Q: Find the radius of convergence, R, of the series. x4n n=2n(ln(n))² R = 8 Find the interval, I, of…

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Q: Evaluate the iterated integral below. π/4 1 Só S"!+S": 0 0 y cos (x) dy dx

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Q: The lengths of a shadow cast by a vertical gnomon (a device used to tell time) of heighth when the…

A: You must have idea about basics of trigonometry and calculus to find these required values.

Q: im (x sin(2)) (a) Describe the type of indeterminate form (if any) that is obtained by direct…

A: NOTE: Refresh your page if you can't see any equations. . use direct substitution   .............…

Q: valuate the iterated integral below. π/4 1 St. + S² = 0 0 y cos (x) dy dx

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Q: Solve the differential equation by variation of parameters. 4y"8y' + 8y = ex sec x y(x) =

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Q: In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple…

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Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: Compute the gradient of the following function and evaluate it at the given point P.…

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Q: tan x 3 sec x If f(x) ƒ'(x) = To two decimal places, ƒ' (1) = =

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Q: Using only the theorems on determinants and the row/column operations, show that: 1 1 a b a² b² 1 C…

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Q: Part II (10%) - True or False. For each statement, select T if the statement is true, or select F if…

A: Given question:-  For each statement, select T if the statement is true, or select F is statement is…

Q: The general solution of (3tanx-2cosy) sec²xdx + tanx sinydy=0 by Substitution i A B C D tan ²x…

A: To find general solution of given differential  equation.

Q: Ass: 一 V EXAMPLE 6 Find the area enclosed by the line y = x - 1 and the parabola y² = 2x + 6.

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Q: Question 15 If f(1) = 6 and f'(a) ≤ 4 for 1 ≤ a ≤ 3, how large can) possibly be? The largest…

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Q: Determine whether the series converges or diverges. 00 3″ 3 + 50 n = 1 The series converges by the…

A: Solve the following

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Find the minimum distance from the point (0,0,0) to the plane 9x+4y+z=5.

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Q: Use the table to find lim f(x) z 2 X 1 1.9 1.99 2 f(x) 10 11.8 11.99 10 lim f(x)= I 2 2.01 2.1 3…

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Q: state the domain and range for each of the following:

A: Given set of points S={(-3,-2),(-2,-1),(-1,0),(0,1),(1,2),(2,3),(3,4)} We know that domain is the…

Q: 1 4r dr √1-4

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Tim x-2 x-2 Js √5x-2-√√2x+4

A: To evaluate the given limit first we multiply the numerator and denominator by the conjugate of the…

Q: 11 7 Find Y y N 2x² + y² = 4 2

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Q: 9. S coslnxdx X

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Q: Which of the following is NOT a variable separable DE? A B C D sinydx + cosxdy=0 (x+y) dx-xydy=0…

A: From the given Differential equations, we have to find the differential equation that is NOT a…

Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

A: To find the two positive number.

Q: Given H(jw) -(4+jw) 6+5jw-w² an rewrite as:- (jw+4) -+₁) 6+ (jw)² + 5jw (jw+ 4) (jw+3) (jw+2) (jw+3)…

A: Topic:- application of calculus

Q: dy dx for A B y=23√x²-3arcsin(x³) True False 2 9x² 33/x /1-x6

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Q: Using the precise definition of a limit, à in terms of & for lim (2-3x) = -4 is E/-3 X-2 A) True B…

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

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Q: Consider the following functions. f(x) = 6 sin x g(x) = 6 cos 2x Esxst Sketch the region bounded by…

A: Given f(x)= 6 sin x g(x) = 6 cos(2x)  in the interval -π2≤x≤π6

Q: For the next three exercises, evaluate the integral (without using tables). f 1 4r dr √1-4 2 dt gint…

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Q: Consider the first order differential equation a. y(-3) = -3.14. b. y(-0.5) = 1.7. or each of the…

A: Here, the given DE is: y'+tt2-4y=ett-3 Comparing it with y'+P(t)y=Q(t), P(t)=tt2-4 & Q(t)=ett-3