x cos x + sin x Find x sin x *xp-

Q: Solve the following differential equations of 2-x'y'y' + xy' = 1 x' +y 1- yy' = 2y – x; dy 3– 2xyy' ...

A: To solve the given differential equation we use the substitution y=vx

Q: Find tan x dx.

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Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).

A: Given: - The line that passes through the points -2,11and 6,1. To find: - The parametric equations t...

Q: Let y be defined implicitly by the equation -4x2 + 7y- 2x-3y 44. dy Use implicit differentiation to ...

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Q: (a) Let f(x) = tanx- 2, g(x) = x5 + x³ and h(x) = Vcsc5x. Then find %3D the f(g(h(x))), using chain ...

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Q: Prove that the equation is an identity. 1 - sin 0 = cot 0 cos 0 sin 0 Working from the left-hand sid...

A: Using 1-sin2 x=cos2 x

Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

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

Q: e table gives the required standard weight, w, in kilograms, of American soldiers, age timeters.1 da...

A: Formula From the table  Because w increased by 2.7 kg as h increased by 4 cm  

Q: The matrix A=[7    k]      [-8 −4]   has two distinct real eigenvalues if and only if k<_____ (Find...

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Q: 3. Solve for x of the equation 2 In(x+1) – In(5x+1) + In(x-1) = In(2).

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

Q: 3. Find the relative maximum and minimum values and saddle point(s) of the function, S(x, y) = 2a + ...

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Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: sin2x 4. Find f'(x) and the equation of the tangent line to y = at x = 1 1-cosx

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Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line...

A: Given query is to find the points where tangent is horizontal.

Q: Suppose the graph of f(x) is given. Describe verbally how the graphs of the following functions can ...

A: a. fx+4vertical shift up 4 units. b. fx-4Horizontal shift right 4 units.c. 4fx vertical stretch d. f...

Q: 2x + 8, z 8 is continuous at z = 8. Justify the conclusion. (i) f(8)= (ii) lim f(r)= Z-18 (iii) lim ...

A: i) f(8)=16ii)limx→8-f(x)=limx→8-(2x+8)                     =2(8)+8                                  ...

Q: dx J-25a2 1–25x² -25x2 8.

A: The objective is to evaluate the integration. 

Q: dy 1 Let u = tan-y sin y – cos y -

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Q: Solve the initial value problem y" + y – 12y = 0, y(0) = a, y'(0) = -28. Find a so that the solution...

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Q: Question 3 (a) Determine whether the following statements are true or false and justify your respons...

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Q: Sx² – 4x + 1, < 4 15-a, x 2 4 Evaluate the following limits for h(x)= and Justify your answer. %3D (...

A: This is a problem related to limit of the function. Function is called as continuous if it's right h...

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Let k(x) = (4x2)g(x)h(x). Given the following table of values, find k'(1). %3D -1 0 1 3 h(x) 1 -3 0....

A: Use the table and chain rule to differentiate the function. 

Q: Find the total differential of the function f(2, y,) : y + z' df = dæ + dy + dz (y+2)* (y+2)* y+z dz...

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Q: 5. Simplify e3y + In y.

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Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

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Q: Given cos(a) 55 and a/2 < a <r and sin(B) - and B is in quadrant III. Use sum and difference formula...

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Q: Graph f (x) = (1/2)* and g (x) =(1/2) ~*+3. Plot three points and also the asymptote.

A: The answer is in step 2.

Q: 2 5. f(x) = xỉ

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Q: Differentiating Exponential Functions Find the derivative of the function ex + 2 f(x) ex - 2 f'(x) =...

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Q: Find

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Q: For the function f(x), which of the following represent the instantaneous rate of change? Circle all...

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Q: 3 Let f be a continuous function such that f(x) dæ = -6 and c10 c10 | f(x) dx = 3. What is the value...

A: ∫-2-3 f(x)dx = -6 so if we change the limit of integration ∫-3-2 f(x)dx =+6 ∫-210  f(x)dx =3 so ∫-31...

Q: Consider the differential equation dx æ(7 – 6t)e³t dt x + 6 (a) Identify and state the dependent and...

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15 + =sin(8nt),...

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Q: 4. Point A (-4, 2, 5) and the two vectors, RAM = (20,18, – 10) and RAN = (-10,8, 15), define a trian...

A: We have to find unit vector perpendicular to triangle and according to given question. 

Q: Set up, but do not evaluate, an integral for the length of the curve. y = x – 9 In(x), 1sxs 4 dx

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Q: Find all the real zeros of the polynomial P(x) = x +x - 3x + 1. -1 Its real zeros are x¡ = , X2 = an...

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Q: dx 4x

A: Given query is to find the value of the integral.

Q: The velocity and initial position are given. Find the position function. r(0) = (1, 2, 3) v(t) = (e3...

A: Given that, initial position function r(0) =1, 2,3  and  v(t) =e3t, sint, 6t where v(t) is the veloc...

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

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Q: 1.) What do you think the world will be like if Calculus wasn't discovered?

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Q: dy by using Leibniz's notation for the chain rule: dx iven y = f(u) and u = g(x), find y dy du %3D d...

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

Q: Find the equation of the line tangent to the graph of f(x) = -2 sin (x) – 1 at x = 4. %3D (Enter an ...

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=5 and x...

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Q: ow directly that the given functions are linearly dependent on the real line. That is, find a nontri...

A: Topic:- algebra

Q: Write down the first derivative of each function in the space provided. Do NOT simplify your answers...

A: Solving questions 

Q: Find the Wronskian of the functions f(t) = 5e' sin(t) and g(t) = e' cos(t). %3D NOTE: Your answer mu...

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