5. A. undefined B. 2 × 2 Consider (a) What is the size of QTP-¹? P= A. -1.5 B. -2 = [1 C. 2 × 4 D. 4 × 2 (b) What is the (2, 1)-entry of QT P−¹? C. -3.5 D. 0.5 Q 1²21 [1 -1 20 E. 8 F. 2 × 6 E. 2.5 F. NONE

Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

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A:

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A:

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A:

Q: Evaluate the limits. Enter DNE if the limit does not exist. a) lim g(x) = x-9 b) lim g(x) = X-9+ c)…

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Q: Consider the following given function and given interval. f(x) = 10 sin(x) - 5 sin(2x), [0, π] (a)…

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A:

Q: Verify the Divergence Theorem by evaluating F.NO N ds as a surface integral and as a triple…

A: To verify the divergence theorem. And to evaluate the surface integral.

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A:

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A: Let's find function is differential or not.

Q: 7. Prove: cos(0 + 2) 7) = sine.

A:

Q: 248 217 186- 155 124- 93 62- 31

A: topic:- calculus

Q: Find the derivative of f(x, y) = e- x ln(y² + 1) at the point R(4,0) in the direction of w = (2, 1).

A: NOTE: Refresh your page if you can't see any equations. . the given vector is find the unit vector

Q: 1. (a) First find the following indefinite integral A. e666 B. 2e667 (e - 1) e√x+666 [= √x dx = (b)…

A:

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A:

Q: Find the sum. 6 Σ k k = 2

A: Here we have to find the sum.

Q: -4 Challenge #1 y = 2x 0 Adjust the equation so the exponential function passes through the points.

A: topic- exponential function

Q: 3. Find the derivative of each of the following functions. Justify your answer. (a) f(x)= (b) y e I…

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

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Q: the derivative of the function by the limit process. f(x) = x²+x-3

A: Topic:- limits and calculus

Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: LORAN (long distance radio navigation) for aircraft and ships uses synchronized pulses transmitted…

A: answer is in next step , i can only answer one question as per guidelines.

Q: Find all fourth roots of 1 in the complex numbers.

A: Let x be the fourth root of unity x=14 x4=1 x4-1=0 Equation 1

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A: Given that the first equation is          x3=y-2-1=z+11  Its parametric form are:    x=3t , y=-t+2 ,…

Q: Let g(x) = 4x³ + 9x² − 12x + 7. Suppose n is the number of critical numbers of g(x). Let x1, x2,…

A:

Q: Find the average rate of change of the function over the given interval. (Round your answer to three…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the curl of the vector field F. F(x, Y, 2) = arcsin yi+ V1 - xzj + yêu y²k

A:

Q: (1) ਤ + x2 x2 + 3 dx (2) In 2 -e ex 1+e dx x +7 (3) --x-6 dx

A:

Q: 1- Find the inverse of Laplace transform of log s²+1 (s-1)²,

A: To find inverse Laplace transform:

Q: Please TYPE this out.  I do not want it handwritten.

A: The given function is y=xx4+4

Q: Using De Moivre's formula demonstrate that sin(3x) = 3sinx − 4sin3x

A: Given that sin3x=3sinx-4sin^3x De moivres formula is (cos x+ i * sin x) ^ n = cos n*x+ i * sin n*x -…

Q: Find the definite integrals of the following. 1. 2. 5 2x -dx x²-5 fe²dx 1n 5

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Q: Find the curl of the vector field F. F(x, y, z) = 4x² + 7y²j + 5x²k

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Q: Let x = 6.99999.... (a) Is x 7 X = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a…

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Q: maximum

A: if you specifically asking to how to find maximum and minimum value. Please refer to the image below…

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A: To find the curl of the given vector field F

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A:

Q: find area of abc triangle with given parts A=29.6 degrees b=10.7 in c=6.6in

A: Use sine law

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A:

Q: 2 i) [x² ( x + ²7 - 2²/1) dx x i) Ï 0 x³ - 8 x-2 dx ii) ii) f (x³ + 3x² + 1) e-2x dx xe xe1+x dx

A: Given:   i) ∫x3x+2x-1x2dx Expand   =∫x4+2x2-xdx Apply linearity     =∫x4dx+∫2x2dx-∫xdx

Q: Solve: y(1) Given: y" + y = k sin(kt), y(0)=6, y'(0) = 0, where k-sqrt(2)

A: y" + y = k sin(kt), y(0) = 6 y'(0) = 0, where k = sqrt(2)

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A:

Q: 1 x - x² 3 2√√√x -8 dx

A: The given integral, ∫-8-1x-x22x3 dx

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

Q: S(67² - 4t + 3) dt

A:

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

Q: Evaluate ln(e2)   a. 2.712828   b. (2.71828)2   c. 2   d. 5.437

A:

Q: I 1. a) Describe the transformations that would map /(x) = logx to g(x)=3log[-2x]+1 b) State the…

A: We have to describe the transformation and mapping rule.

Q: nd the equation of the tangent line to the graph of ƒ(x) = (1+x³)−² at the point

A: Topic:- application of derivatives