Let a, b, and c be three-dimensional vectors. Identify whether the expression a x (b x c) will result to a vector or to a scal vector scalar

Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is ...

A: Explanation of the answer is as follows

Q: Find f'(x) and f'(c). Function Value of c x2 - 9 f(x) = c = 1 X - 9 f'(x) f'(c)

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Q: Determine whether the subset W={(a,b,c)|b=a+1} is a subspace

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Q: If r = 26 cm, what is the area of this sector? Express your answer to the nearest tenth of a centime...

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Q: Calculate L4 for f(x) = 42 cos () over L4 = %3D

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Q: Find the linear approximation of f(x)=sin(x) at x=3π4 and use it to approximate sin(134∘). Give you...

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Q: az az Use the chain rule to find and əs at z = tan(x° + y°), x = s In(t), y = tes az as az at II II

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Q: Calculate the partial derivative using implicit differentiation of + = 10 at (x, y, w) = (1,2, 1). %...

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

Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is ...

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Q: Obtain the general solution. (xy + y²)y' = y² O v? = x(In\xl) + Cx O y- x(In\xl) + Cx O x² = y(In\yl...

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Q: -1 (11) Find fo g* (2) =? (A) f•g* (2) = f( 2) = undefined; g(2) = 0 (B) f•g° (2) = f('lg2)= undefin...

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Q: Given: f (x) = x² + 5x + 4 and g (x) = x+1. Solve for f(2) 9(1)

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x1, x2) = x +x subject to the c...

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Q: Area of Surface of Revolution Find the area of the surface of revolution generated when the given c...

A: Surface of revolution

Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π/2. Give your answer round...

A: Use derivative for finding the value .

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: We have to find the critical point

Q: Find the equation of the tangent line to the graph of the given function at the point with the indic...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 5t, y = 9 –...

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Q: Determine the vertical asymptote(s) of the graph of the function. x+9 4) f(x) = 7x + 9x - 10

A: We have to find out vertical asymptote

Q: Represent the function 5 In(10 – x) as a power series (Maclaurin series) f(x) = L Cnt" n=0 Co C1 C2 ...

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Q: 5x2 dx et

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Q: Suppose that a fruit stand exclusively sells apples and oranges. If the owner puts x apples and y or...

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Q: If yex – 6y = 5, find dy/dx. dy dx

A: We have to find the derivative of the given equation.

Q: Use areas to evaluate the integral f(x) = 3x + 9-x on the following intervals. (a) (-3,0] (b) [-3,3]...

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Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising expend...

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Q: Find an equation of the tangent plane to the surface at the given point. 4x2 + 2y? + 4z? = 22, P = (...

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Q: ues hon ( 3): Find equation of Lie in each Case:- ) passing Hhe points 2) passing the point (2,-3) a...

A: In this question we have to find the equation of line.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: Determine the particular solution. 4y" – 2y' – 2y = 0; v(0) = 2, v'(0) = 1 Oy- 2ew2 3 Oy- dew2) Oy- ...

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Q: 13.33 square meters, exactly how much will be needed to render a single design on the wa Show your c...

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Q: If 7x5 - 5y7 = 5x² + 7y°, find dy/dx. dy dx II

A: Given problem:- If 7x5 - 5y7 = 5x2 + 7y5 , find dy/dx.

Q: how much should you put in an investmenr paying a simple loan of 5% if you needed $4000 in eighteen ...

A: According to question,Given data,Rate of Interestr = 5%Simple interest = $4000Time = 18 Months

Q: Evaluate the following integral using partial fractions: 2x2 + 1 (x – 1)(x - 2)(x - 3)

A: Topic:- integration

Q: A. Solve the following problems. 1.) A rectangular plate 12 ft long and 8 ft wide is submerged verti...

A: Here, note that pressure on the surface of a submerged body can be given by: P=ρgy

Q: af at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative f(x, y) = In (x...

A: given f(x,y)=ln(xy) and x=3r+4s ,  y=2r+11s

Q: Test the series below for convergence using the Ratio Test. 87 n! n=1 The limit of the ratio test si...

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

Q: Compute the directional derivative in the direction of v at the given point. f(x, y) = e*y-y°, v = =...

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Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: Lesson 12.3 Solving Rational Inequalities Find the indicated information for the inequality. 4 7 5 +...

A: We have to find the solution

Q: Use the Chain Rule to evaluate the partial derivative at the point (q, r) = (2, 3), where h(u, v) = ...

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Q: Use the method of variation of parameters to find a particular solution of the given nonhomogeneous ...

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Q: Find f'(x) and f"(x). f(x) x2 - 8 f"(x) f"(x)

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Q: 6. lim In(2+x)-In(1+x) 5. lim In(1+x*)-In(1+x)]

A: Topic = Limits

Q: r(x)=1/2x   Step 2 of 2 :  Find two points on the graph of this function, other than the origin, t...

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Q: Find the critical points then sketch the graph of the function below. Provide the first derivative a...

A: Derivative test for maxima and minima: A point x=a is said to be a critical point of a function y=f(...

Q: bAL UATE LIMIT: 3x - 2x ズーラ- z +22+8 lim 3x え→ D

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

Q: g(b). Use the Substitution Formula, -g'(x) dx = f(u) du where g(x) = u, to evaluate the following in...

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Q: 3. For h(x) = (2x+3)2 find h' (1). (3-x)4

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Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is 2,4, or 7.

A: We have to find probability of die rolled twice

Q: Suppose that a particle moves along a line with position function s(t) =2t^2 +3t+1 where s is in met...

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