91. Proof Prove that (cos 0)i + (sin 0)j is a unit vector for any value of 0.

Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Give query is to plot P(2, -4, 1) and Q(0, 3, 4) .

Q: of (x) 3 at x=2. x+1 Find the slope of the tangent to %3D

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Q: Given the polar curves r = 1- 2 sin 8 and r = -4 sin 8. Do the following: 1. Sketch the curves on th...

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Q: Consider the function (* if a 1 Evaluate the definite integral. f(x) dr

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Q: QUESTION #1 CONCENTRATION OF A DRUG IN THE BLOODSTREAM The con- centration of a certain drug in a pa...

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Q: Use the rules of differentiation to find the derivative of the function. f(x) = V f "(x) )%3D

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Q: Consider the following geometry problems in 3-space Enter T or F depending on whether the statement ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: 1) Sketch the graph and test the symmetry of the following : r =10

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Q: We want to estimate f(1.01 , 0.97) for the function f(x,y)= √(4 - x2 - y2). For this, we can use an ...

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: ASK YOUR TEACHER PRA -x²/2 from x = 1 to x = 1.4. (Ro 27

A: Use Simpsons rule with four subdivisions to approximate the area (in units^2) under the probability ...

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A: This is a question related to volume generated by solid revolution. Based on the plotting of graph w...

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Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: The Average Rate of Change function is defined as the average rate at which one quantity is changing...

Q: Solve the problem and show illustration. 1. Find the maximum area of an isosceles triangle whose per...

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Q: d the der

A: Introduction: The formula of first principal of derivatives is given by, f'(x)=limh→0f(x+h)-f(x)h Wh...

Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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Q: E) + ») dy = 0 4x3 3 dx + y 3x

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Q: Let z = f(x,y) be a function with continuous second partial derivatives throughout R2. Assume that f...

A: RECALL: Suppose (a,b) is a critical point of f(x,y) and the second order partial derivative are cont...

Q: 3x4 – 4x3 – 12x² + 18 f(x, y) = 12(1+ 4y²)

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Q: The transformation of a function f (x) into a function g(x) is given by g(x) = Af(Bx + H) + K. %3D w...

A: Topic = Functions

Q: Find the derivative of the function. g(t) = r² - %3D g'(t)

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Q: Find the derivatives of the following. 1. y= sin (e**+ 2x +5)

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Q: Evaluate the limit. Vx2 + 3 lim 3x2 + 1

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i ...

Q: Find the limit L. Then use the e-8 definition to prove that the limit is L. lim (r + 4)

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Q: 1. y = x², y = vx, x=7 x = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 7. Write the vector w in terms of u and v, given that the terminal point of w bisects the line segme...

A: This question is related to vectors, we will solve it using given information.   

Q: (S'34) 9uq Find vector, parametric, and symmetric equations of the line through (2,3,4) and is perpe...

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Q: Solve the inequality (x-3)(r- 2)2 > 0 Select all the intervals below that are included in the soluti...

A: GIVEN:- (x-3) (x-2)2 >0  To find:- Select all  solutions which includes in the solution of given ...

Q: x° + x2 + 1 (c) dx. x3 – x2 +2x - 2 arctan x (d) x2

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Q: he limit. Use l'Hospital's Rule if a lim tan(x) x+0 tanh(x)

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Q: Calculate the absolute and relative errors in the expression: -3cb – 2b –2, if the measurement of a ...

A: The given measures are a=4.5345, b=0.3858, c=2.1050. The measurements are correct up to four decimal...

Q: Find the slope of the tangent to the graph of the given function at the indicated point. HINT: [Reca...

A: Here we use the concept of derivative

Q: representing all ellipses having its centers at the origin and transverse axis X. z (wv" + (v)*] + u...

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Q: Solve the equation using linear equation or bernoulli equation 2xy dx+ (y^2-x^2)dy=0

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as a ...

Q: The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p...

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Q: roblem in neat and orderly manner. nogenous linear equations:

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Q: 3. The shaded region shown below is a sector of a circle of radius 5 centered at the origin. Set up ...

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Q: Cost OF REMOVING Toxic WASTE A city's main well was recently found to be contaminated with trichloro...

A: We have to find  C'(80), C' (90), C'(95), and C'(99).

Q: The radius and height of a right cylinder are measured at 2.4m and 1.5m respectively with a maximum ...

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Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 Xa Xa lim p(x) = ∞ lim q(x) = 0, xa evaluate the l...

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Q: TLER stic Find the equation of the plane through the origin and the points (3,–2,1) and 1,1,1).

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Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3 ...

A: Second derivative of5x2+1 is  d2dx25x2+1

Q: Compute the indicated derivative using the chain rule. dy x = 1 - t/3, y = 8t – 1;- dx dy dx

A: x=1-t3 differentiating with respective t dxdt=-13 y=8t-1 differentiating with respective t dydt=8  

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: To find out the limit.

Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: What would the slope of the tangent line be at the point 3,3 on the folium of Descartes x^3+y^3=6xy ...

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Q: Find the error propagated from the function y = 3x* if an error of 0.06 occurs in the independent va...

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Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 ...

A: Growth factor is the ratio of any two successive measurements.