Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j - Sk)

Q: dy Find for the following function. dx 5 cos x y = 1+ sin x %3D dy %3D dx

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Q: Find the values of c that makes the function continuous on R -cz² + c² ifz < 5 f(x) = 8c – 822 if æ ...

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Q: Q5) Solve and the doketion. (x*D - xD -15I g(リー45

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Q: 9.lf y = sin (4x – 5), then what is y'? O A. y' = - cos (4x – 5) O B. y' = - cos (4x) O c. y' = cos ...

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Q: 3. Which of the following is logically equivalent to [(-p V q)^(¬p Vg) ^(¬p Vr)]→[[p V q)^(-p vq) ^(...

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Q: xdy- (4x²-2y)dx = 0

A: This question is based on solution of linear differential equation.

Q: QUESTION 5 Differentiate a) (x2+1)ln(x+1) b)) 3 x3e3x

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Q: x3+2x dx x2+1

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Q: Solve the following system of equations, using whichever method you wish. x+ 2y = -1 2x+4y = -2 • If...

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Q: (y-cos²x)dx + cosx dy = 0 %3D

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Q: 2. Determine the x-coordinate of the points where the tangent to the curve y = (x – 2)²(x + 3) is ho...

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Q: Xt 2X2 -5 Xi + X2 + 2X, -2

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Q: Homogeneous Diffe rential Equation: (x² + 2xy – 4y² kdx (x² –8&.xy – 4y° kty = 0 %3D Use the substit...

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Slope amd tangent line 

Q: B each have x = 0. Taylor polynomials of degree 2 approximating these functions near x = 0 are as fo...

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Q: The unemployment rate of a certain countr 5t + 301 f(t) = (0 <t < 4) t2 + 23 percent in year t, wher...

A: NOTE: Refresh your page if you can't see any equations. . here t= number of years after 2010 so for...

Q: Let z = 3+2i and w = 4 – i. Evaluate (a) z + w (b) z – w (c) (d) z/w (c) z•· W

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Q: 2x2 – 10 Find horizontal asymptote of y = 1522 + 7x + 15 Note: Give the exact answer but not the dec...

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Q: The path of a total solar eclipse is modeled by f(t) = 0.002311 - 0 506t + 40 266, where f(t) is the...

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Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)  

Q: Find the set of solutions for the linear system + 3x2 3x3 -10 %3D X1 X2 4x3 -3 4x3 -8 Use s1, s2, et...

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Q: If f (x) =find the equation for the tangent line to f (x) at x=0 e* For the toolbar, press ALT+F10 (...

A: Given problem:- If f(x) = x/ex find the equation for the tangent line to f(x) at x=0

Q: 4. Homogeneous Differential Equation: (r+2ry-4y' dx-(r -8xy -4y' dy = 0 x=2; Use the substitution y ...

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Q: Implicit differentiation x^3+4x+y^2-3y+1=0

A: x3+4x+y2-3y+1=0

Q: Plot the following function as a 3D plot: (x + y)* + (x – y)² - f(x, y) = 2(x + y)² 4

A: Plot the function:f(x,y)=2(x+y)2-(x+y)4+(x-y)24

Q: Find the marginal profit function if cost and revenue are given by C(x) = 150 + 0.5x and R(x) = 2x -...

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Q: Given the matrix below, find ATB. -1 21 A =5 0 and B = [3 -2 1] 7 Lo 4 2] 3 Choose your answer here....

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Q: Test the series below for convergence using the Ratio Test. 00 n5 0.8" n=1 The limit of the ratio te...

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Q: 3) Find the area and circumference of each circle. Round the answer to two decimal places. ( use n=3...

A: Given problem:-

Q: Question 2 Use the table below to evaluate the derivatives below. xf(x) f′(x) g(x) g′(x) h(x) h′(x) ...

A: According to the guidelines issued by the company we are supposed to solve only first three subparts...

Q: Evalúa el conmutador [A, B], considerando las siguientes situaciones: a) A= d/dx B=x f(x)=xe2 bA= x ...

A: We will use the formula- [X^,p^]f(x)=x^[p^{f(x)}]- p^[x^{f(x)}]  

Q: V2 + i/3 V3 - 10i 6. -4V5 + Si -V8 - 21/3 7. 1 + mi -4 + 191 8. 2 + 51

A: We are authorised to solve only one question with 3 subparts, please repost remaining questions Comp...

Q: Dicp J. Draw simooth line through the above Homework: Draw the following functions: 2. x +y = 1 4. x...

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: Solve for z. (a) z2 + 2z + 5 = 0 (b) z3 = 8 (c) 25 = 1

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

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Q: 8. Without a calculator, match the functions y = 2, y = e, y = 3, y = In x, y = log x with the graph...

A: Without using a calculator, to match the functions, y=2x, y=e-x, y=3x, y=ln x, y=log x with the grap...

Q: Consider the following. 2r I+4 f(x) = Use a computer algebra system to find the derivative of the fu...

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Q: Alamina occupies the region inside the circle x 2  + y 2 = 4y but outside the circle x 2 + y 2 = 4. ...

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Q: - (2D³ – D² + 1) (In cos x – 2 tan x)

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Q: 20 + S 2c + 5 こ

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Q: Determine the critical points of f(x) = x^2+8x+ 10 and apply the Second Derivative Test to find the ...

A: Critical points are points where the function is defined and its derivative is zero or undefinedGive...

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

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Q: D Evaluate without using calculator. Use the pythagorean identities rather thae reference txiangles....

A: a To find sin θ and cos θ if tan θ=34 and sin θ&gt;0.b To find tan θ and cot θ if sec θ=4 and sin θ&...

Q: 2. Find the area of the region bounded by the graphs of y = x2 - 6 and y-3 = 0.

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Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: dy and then dx Use implicit differentiation to find 2 dx 4 5 X +y =99 dy (Type an exact answer.) %D ...

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Q: ') Given y= -2x² –16x, find the absolute min imum and the absolute max i in the interval[-1, 4]

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: 1. For function z = f(x, y) where f(x, y) = 4 – x² – 2y², we compute that fa(1,1) = -2 and fy(1,1) =...

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Q: 1. Find the root of f(x) = cos x + 2 sin x +x? by using Secant method. Let the initial value xo = 0 ...

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