Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE: Enter the exact answer. A

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (3, –4)…

A: A detailed solution is given below

Q: I. Solve the following problems. af 1. Find af and of the function f(x, y) = arccot (-) + In ( ду…

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Q: 2. Evaluate the following limits. 4x2+x-7 f. lim 2x2+3x+10 X→-00

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Q: 3. Calculate the derivative of f(x) = tan(4t) dt. %3D -1/16

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Q: Ans: y' + y2 - y = 0 ae* 5. y= 1+ae*

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Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v = i+j+ 7k w = i + 8j + 2k %| Find…

A: The volume of the parallelepiped is 253

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Q: The solution is y = (Type an expression.)

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Q: Which of the following definite integrals are equal to lim 5k `sin –1+ ? n00 k=1 n n I. sin æda II.…

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Q: State as TRUE or FALSE. d) 143 = -40 (mod 5) e) –4 = 788 (mod 3)

A: a≡b(mod n) means a-b is divisible by n

Q: Compute the length of the curve r(t) = (41² + 1, 81² - 5,1) over the interval 0 < t < 2. (Use…

A: To find the length of the parametric curve  r(t)=4t2+1,8t2-5,t3 over the interval 0≤t≤2. Here, let…

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Q: y=x/x+1 is a solution of what differential equation

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Q: MyCalStateLA x Activity 10.6 x O Exploring Dir x+ Ohttps://calstatela.instruct... Let f(x, y, z) at…

A: Given query is to find direction derivative.

Q: 7-x 17) dx

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Q: alculate V3 + 2i. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 2n.

A: Given query is to find the value of a and b.

Q: 4. Let f(x) be a function that satisfies f(3x) dx = 1 and 3f(x) dx = 15. Calculate f(x) dx. Show all…

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Q: Find Duf at P. f(x,y,z)=4x^3y^3z^3;  P(1,−2,1);  u=13i+23j−23k

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Q: Use the Chain Rule to find- af when r = 2, t =-1 of the function ar f(x, y, z) = e3xyz cos 2xyz ; x…

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Q: Consider the points A(1, –1,4), B(2, –3, 2), C'(-1,–2,2), and D(4,3, -6). (a) Find the volume of the…

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Q: Consider integral 1 •1-z 1 II T (a, y, 2)dzdydz. nge the order of integration and rewrite the above…

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Q: Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Prove from the precise definition of a limit: lim x = 4 x-2

A: We have to solve the limit using definition.

Q: x10 14) cos Vt dt )음 COS

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Q: State whether the following numbers are rational or irrational. a) V4 + 7/2 b) V36 c) V11²510716

A: We have to find if the numbers are rational or irrational.   According to our guidelines we can…

Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

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Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: 2x 2x Find the absolute maximum and absolute minimum of the function f(x) = - 1 over the interval…

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2r sinh(r – 1) +2 – r %3D has a critical number…

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Q: Compute the following limit. 1-e3 3x as x approaches 0

A: To find,  limx→01-e3x3x

Q: Evaluate the integral. -241 15 given, 7 x²dx = xdx = dx = 1. O 36 O -146 O -114 0 4 O -61

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

Q: „T7/8 6) (1 + etan 2x) sec² 2x dx 16) B) - D A) e C) 2e

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

Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

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Q: Siven f(x, y) = 4e3" sin(3y) hen Vf(0,5) = 2 Question Help: DVideo MMessage instructor Add Work…

A: Given query is to find indicated derivative

Q: Consicler the functiun belou 2. fexy)=x°ewy %3D a) evaluate f(8,0) b) fincd the clonain of F ) Find…

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Q: Use the first derivative test to find the location of all local extrema in the interval (1,7) for…

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Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t x = 7 – t, y = 7, z =…

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Q: af Find a d () + In (). of the function f(x,y) = arccot and ду

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Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 3x³y*; P(5, 1); a = 7 i –…

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Q: 10

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Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

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Q: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

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Q: Find the sum of the series. 2n n-D0 03 01 06

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Q: The integral of the given function csc x dx is equal to 3cos' x-10sinx cos'x-15sin xcOsx 15sin'x…

A: To evaluate the given integral.

Q: Find the dimensions of a rectangle (in m) with area 216 m² whose perimeter is as small as possible.…

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Q: Assume that ū. i = 3, |ū| = 5, and |õ| = 6. What is the value of 5u. (4ü – 87)?

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Q: Examine the function f (x, y) = x3 − 6xy + y3 for relative extrema and saddle points.

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Q: A driver accelerates when the car is traveling at a speed of 30 miles per hour (i.e., 44 feet per…

A: This question can be solved by applying the equation of motion.