Differentiate the function y = -5e0.

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A: Follow the procedure given below.

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: xy³ dx + x?y? dy +- In (In y) In x dx + dy = 0 y In y %3D 3.

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Q: Evaluate the double integral over the given region R. yx cos x dA R: -1sys1,0sXST R yx cos x dA =…

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Q: 3 dx Jo 4x² + 5x + 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

A: We have to compute the equation of the tangent line of f (x).

Q: Problem 1 Determine if the following series converge or diverge. If it converges, find the sum. (a)…

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Q: What is the maximum product of two numbers whose sum is 9 ​? What numbers yield this​ product?

A: The sum of two numbers is 9.

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Q: please sir solve question part (d), in the picture, not that its not a graded question

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Q: tan B + cot ß tan B cot ß %3D tan B tan B tan B 1 + %3D csc? B %3D

A: Given query is to transform using identity.

Q: 10. Evaluate the following integrals (a) L x²+1 (b) J 군TT 1 x2 –6x+13' d.x

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Q: For what value of x does the function f(x) =x³ 4x attain the absolute minimum %3D in the interval…

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Q: Use the chain rule to find the derivative of 19 4(6z° + 8z*)® You do not need to expand out or…

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Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: dx |4 – x² 2.

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Q: The function I (t) = - 0.2t³ + 3t² +100 for 0 sts 9 gives the CPI of an economy, where t = 0…

A: Given    Find derivative of function

Q: 2. Sketch and identify the graph of the equation a+y? - 2y-3 0 in 3D.

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Q: 3. nn'+n+lo nニ

A: We have to find if the given series is convergent or divergent.

Q: Inx+1 dy will be dx If y = then 2x3 – 3x' (2x³ – 3x) +1) –- (In x + 1)(6x? – 3) А. (2x³ – 3x)² (2x3…

A: Using derivative rule of (u/v),

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Q: 1 4 9 16 25 0, 2'3'4' - 5' 6 an Enter your answer here Or write it out and upload: Please select…

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Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

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Q: Find the difference quotient where h+0, for the function below. s)--3x+3x-7 Simplify your answer as…

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Q: Evaluate the derivative by using the appropriate Product Rule where r, (t) = (r,r,5t), r(2) = (2,…

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Q: Q5 Find y(2) from the following table: 2 3 4 7 112 466 X: y: 4 58 112 26

A: This is a problem related to finding derivative value from table. Derivative at the particular point…

Q: 00 (-1)"n Does the series converge absolutely, converge conditionally, or diverge? n= 1

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Q: 1. If we are trying to evaluate thef esinx cos x dx, which substitution would be most helpful? А. и…

A: Select the correct option?

Q: 1. f o" xy dy dx О а. 32/3 ОБ. 16/2 Ос. 32/4 O d. 18/4

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Q: Describe the given region in polar coordinates.

A: Let's find.

Q: f(x) = x – x + sin(x) – 1 Solve this question by the Bisection method on the topic of solution of…

A: The given equation is  f(x)=x2-x+sinx-1.

Q: d(x,y) . Solve the system u = 4x + 3y, v=x+4y for x and y in terms of u and v. Then find the value…

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

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Q: Find f. f"(x) = cos(x), f(0) = 2, f'(0) = 8, f"(0) = 5 f(x) =

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Q: 4.

A: Given query is to find series converges or diverges.

Q: Find the intersection point of the two lines: [x, y, z] = [–2, 3, –3] + t[1, –1, 2] and [x, y, z]…

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Q: For what value of x does the function g(x) = (x? – 4)2 attain the absolute maximum in the…

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Q: Vx2-7x+16-V6 2. lim X→5 (х-5)/x+1

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Q: Let f be the function for x 7 Find the value of c that makes the function continuous.

A: Given the function  f(x) = x2-cfor x<78x+3cfor x≥7

Q: 8. y=x".7* 9. у%3 Inlog, x

A: Let's find.

Q: f(x) = 12x + x - x°, g(x) = 0 ... The area is (Type an integer or a simplified fraction)

A: Given query is to find the area of the shades region.

Q: f(x) — х 3 cos(x) Solve this question by the Newton-Raphson method

A: Here, the given function is: f(x)=x3-cos(x) Now, f(0)=0-cos 0=0-1=-1<0f(1)=1-cos 1≈0.4597>0…

Q: a) lim f(x) b) lim f(x) c) lim f(x) d) f(0)

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Q: 8. A population of beetles can be modeled by the equation y = 1000sin (12t)+8000 where t is in…

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Q: The angle of clevation rm a puinit on the prosnd N the top of e tree in 33.6 depreces. The angle of…

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Q: 6. Find the dimensions of a rectangle with an area of 225 cm’, whose perimeter is as small as…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 4x2 + 21x + 54 -dx x² + 6x + 13

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Q: Consider the equation below. = 9 cos2(x) – 18 sin(x), 0 < x < 2n (a) Find the interval on which f is…

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