[CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3 cosx −5)2 O 15 sinx +20 (4 sinx+3)2 O 15 sinx +20 4 sinx +3 O 10 sinx - 6 (3 sinx − 5)2

Q: (e) [ - V TVT - 1 dr

A: to evaluate the integral.

Q: Siven a = (1, 2, 1) and b - (k. 1, 2) and a × b = √35. X Determine the value(s) of k.

A: Follow the procedure given below.

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A: The given problem is solved below in detail.

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Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

Q: (CLO-1, CLO-2) Find xe = sin(xy) - ex xe − x cos(xy) e xe − x cos(xy) y sin (xy) - e xe – x cos(xy)…

A: Given;  xey=sin(xy).

Q: {CLO-3} The function f(x)=2x4-4x² has a local maximum at x=-1; and a local minimum at x=0 has no…

A: Topic:- application of derivatives

Q: Additional Activities (-2.39) (14) 4 20 10 885 40 50 1 (2.7 3 B. Locate and classify the critical…

A: Given

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Q: dw For the functions w= -5x² + y², x = cost, and y = sint, express as a function of t, both by using…

A: Given query is to find the Indicated derivative.

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A: 1) We know that relation between cartesian co-ordinate and polar co-ordinates, x=rcos(θ),…

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A: We have been given that curve  y =32cosx with -π3 ≤x≤π3                  and   density…

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Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: In a "one whole sheet of paper" graph the following sine function. Determine the amplitude, period,…

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Q: Find all critical points of the function f(x) = 2x² 7x²2-2x+4* (Use symbolic notation and fractions…

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Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e5xy = sin…

A: Given query is to find the derivative of the expression.

Q: Consider the following function, f(x) = x³, 3 a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate

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Q: Drogon (The dragon) wants to fly to an island which is 1200 km away at a heading of [N42°W]. There…

A: We have to draw the diagram and time required.

Q: . Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Topic:- function  and application of integration

Q: 3) Grandparents place a continuous stream of $1,000 per year into a college fund which has a…

A: As per our guidelines we are advised to solve first question . Please upload other questions as a…

Q: This question is designed to be answered without a calculator. If g(x) = si sint dt, then g'(x) = 0…

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Q: Assuming that z is a differentiable function of x and y, Let F(x,y,z) = ln(x²y) - e* -tan-¹ z. Find…

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Q: Syy-mat sama dy ³

A: Follow the procedure given below.

Q: Given R(t) =4 costi + (1+3cost)j +5sintk. Find R' (t). R(t)=-4 sin ti + 3sintj + 5cos tk Option 1…

A: Given: Rt→=4costi+1+3costj+5sintk   As we know the Sum/ Difference Rule: f±g'=f'±g' And…

Q: M8 1 Σ n=1 h n’ + 8 +8 3

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Q: In the 2000 U.S. Census, a small city had a population of 60,000. By the 2010, the population had…

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Q: 2.) given this trigher ODE, use the reduction of HODE via of systems ODE and find the general non…

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Q: √81.4305 Using Linear Approximation, evaluate below. Answer must be in FRACTION.…

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Q: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = 7x3 −…

A: This question is based on Partial differentiation.

Q: Ssin (1) dB

A: Topic:- integration

Q: polar integral to find the area rusk 2) Use a enclosed by the three - petaled T = Singe

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Q: Numbers 10,11,12 please

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Q: c) (² 2x² − 6x 6x + 3 x² + 1 dx

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Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: How many combinations can be made from ♣, ♠, ♦, and ♥ if taken a) four at a time? b) three at a…

A: solution:-♣, ♠, ♦, and ♥  are four different itemswe know that  combination is the selection of…

Q: Five years ago you opened a savings account with annual compound interest by depositing $1,200. You…

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Q: Consider the following series, (x - 2)" Σ n5 + 1 n=0 (a) Find the radius of convergence, R , of the…

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Q: Find Vf at the given point. f(x,y,z) = x² + y² - 4z²+zlnx, (1,1,3) Vf|(1,1,3) = i +(\)j + ()k…

A: Topic:- application of derivatives

Q: RIN Find the linearization L(x,y) of the function f(x,y)=e4x cos (3y) at the points (0,0) and 0₁-…

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Q: Determine if the series converges or diverges (2) La=2 ਪੰਜਾ

A: To determine whether the given series converges or diverges.∑n=2∞ 4n3

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) 23 26 Vf|(-2,2,-1) = i+ 23 54 |j+ 54 27 (Type…

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Q: what is b if ( log b x) ' = 1/3x

A: Concept: Derivative of log(x) is  logx' logx'=1xln(10)....................(as log is default base…

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Q: What do you call the numbers below. Ta(1) 2= 1^3 + 1^3 Ta(2) = 1729 = 1^3 + 12^3 =

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Q: 882 [ f(xy + e³)dydx

A: