Find a unit vector perpendicular to both (3,-2,4) and (-1,2,-3).

Q: Using Figure 1, complete the following function. Figure 1 csce = r/u v/u v/r r/v u/v u/r O O O

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Q: 4.(a, b), (c, 0) 5.(2a+c, 2d), (2b-c, 2c)

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Q: Let a, = and b, n - 5 Calculate the following limit. an lim (Give an exact answer. Use symbolic nota...

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Q: 5. Find the equation of the line passing through (2, 5) and with y - intercept of 2.

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Q: 3

A: We have to find the value of the given conditions according to the given information

Q: (d) The function k(x)is defined as follow: 3 x+ 17 -- 4 k(x) = { 2, x =1 5|x-1| x² -1 x>1 Discuss th...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = (1 + x) F(x) = Fx) = (...

A: According to question,Given Function,fx = 11+x4

Q: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D 5...

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 14 + sin(14xt) ...

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 csce = 5/3 5/4 -5/3 -5/4

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Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(6,-5) sin = (6√61...

A: Please see the below picture for detailed solution. 

Q: Determine the composite function fog and gof. For each composite function state the domain and range...

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Q: What is y = sin (xy)

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Q: 8- 2x (f) lim X4 x -x-12 +16 –4 (g) lim X-0 x' +8 lim- X-2 x+2 (h)

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Q: [2x – 5] x if 0 3. - Determine if f is continuous or discontinuous at x = 0 and at x = 3. If di con...

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Q: Find the point on the graph y=Vx+1 that is closest to the point (2, 1).

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Q: What is the form of the complete partial fractions decomposition of this function: of 5 x(x +3)2 (x²...

A: We have to find the form of the complete partial fraction of the function

Q: At least one of the answers above is NOT correct. Match each of the following with the correct state...

A: This is question related to series and sum calculation. Based on several method available for testin...

Q: The function f is defined by the following rule. f(x) = 2* Find f(x) for each x-value in the table. ...

A: Find inverse of L. Let x=L(t) 

Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3)

A: Distance between two points are  √(x1-x2)^2+(y1hy2)^2  

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the grap...

A: You can use disk method here to find the volume of revolution.  ⊙ The volume of rotation of y =f(x) ...

Q: Find the derivative of the function. y = cos V sin(tan(3x)) )

A: Topic = Derivative

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: First we find radius of convergence. Then find interval of convergence. 

Q: n2 - 6 with n5 + 6 Write an inequlity comparing for n > 1. n3 (Express numbers in exact form. Use sy...

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Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

Q: 5. Find the limit of lim x* +0-x

A: Topic = Limits

Q: In(12 x- 11) dx

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Q: Consider the function f :R² → R given by f(x,y) = e* In(1+ y) Write down the second-order derivative...

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Q: Which of the following series converge? I. E 2 II. E III. E1 A) I only. B B) None of them. C) Il onl...

A: We have to find which of the following series are convergent. 1. ∑n=1∞13+1n2. ∑n=2∞1ln n53. ∑n=1∞nn2...

Q: The number of bacteria in a refrigerated food product is given by N(T) = 20T² – 73T + 12, 4 < T < 34...

A: Given,           The number of bacteria in a refrigerated food product is given by NT=20T2-73T+12,  ...

Q: 8-2x (f) lim- X-4 x -x-12 Vx² +16 –4 lim- (g) x' +8 lim x-2 x+2 (h)

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Q: Evaluate the integral: dx +. +c. B) Inx+ v-이+c. c) 3Imx + v-이+c. D) +c. ) 2( - 9)+c.

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Q: Given that f(x) = 7x + 4 and g(x) = 1 – x², calculate %3D - (a) f(9(0))= | (b) g(f(0))=

A: f(x) = 7x +4  g(x) = 1 -x2 f(g(0)) =? g(f(0)) = ? f(g(x)) = f(1-x2) = 7(1-x2) +4 = 7 -7x2 +4 = 11 -7...

Q: What is f'(x) given the integral function f(x) = cos(e“)d u? %3D O rm = 3x cos(e) O f'(x) = 3x cos O...

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Q: Convert the point (-1,-V3) from Cartesian to polar coordinates. A) (-2,) B) (2.). c) (-2, ). D) (2,)...

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Q: 4. Find all the points at which the direction of fastest increment of the function f(x, y) = x² + y²...

A: According to question,Given Function,fx, y = x2 + y2 -2x -2y

Q: Solve the following ODE numerically dx t3 – 2x -, for 1 <t< 3 with x = 4.2 at t = 1, t %| dt and plo...

A: Please see the below picture for detailed solution. 

Q: The interval of convergence of the series CO (x - 4)" 2n n +4 n=0 is: (2, 6]. (2,6). [2, 6). A) B) C...

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Q: Answer this question by showing all work and formulas used to solve: 5. Does the function f (x) = -2...

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Q: dz 1. dz ду || 2.

A: The given function is: z=(2x+7y)12.

Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² - 2...

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Q: a) Find the arc length function s(t) for the line segment given by r(t) = (3 – 3t) i +4t j, 0st<1 b)...

A: Answer: The solution is as follows:

Q: Given the taylor series at 0 for 1/(1-x2)= 1+x2+x4+x6+x8+...+x2n Use above to find the taylor serie...

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Q: entences. 5k + 7k +1 3k* +8k? +9 -). az

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

Q: Success Confirmation of Question Submission | termine the requested sin, cos, or tan of angle A. bar...

A: option (b) is correct see below the  calculation

Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

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Q: Find the value of c for which the area enclosed by the curves y = c - x and y = x - c is equal to 10...

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Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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Q: 4. Convert SInciag) dA. aver. the region.<xyke. 2 2. .... to..pola.form. nd. then.evaluate.it.. 1/2 ...

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