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Q: Use the alternative form of the dot product to find u · v. ||u|| = 30, ||v|| = 50, and the angle bet...

A: Solution is given below:

Q: If we want to evaluate the integral x+18 1= +64 dx, and dx = do and therefore the integral becomes, ...

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Q: By-1 dy 2y+1

A: We have to solve given indefinite integral.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line x = 3t, y = 1 – ...

A: Given parametric equation of line x=3t, y=1-t, z=3+5t

Q: O f"(x) 0 for all x f"(x) > 0 for x > 0

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Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Question 4 Given: f (x) = x +7 and g (x) = x² . Find the limit: lim, -3 9 (f (x)). O (E) O 18 O 12 O...

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Q: 1. Find the area of the region bounded by the line y=x+7 and the parabola y=x^2+4x+3 and also illlus...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Topic = Vectors v=1,92  Positive components -v=-1,-92 Negative components    

Q: Which of the following is the general solution for the differential equation: y" + y – 6y = 0 where ...

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Q: If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t sections i...

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Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

A: Solution is written in below steps.

Q: Complete the interval table (you can do this in your notes) for the continuous function, then determ...

A: Find your answer below 

Q: The value of the integral T/2 sin x dx cos(x)e- sin Jo is: Оа. 1-е-1 O a. O b. e- sin 1 O C. С. cos ...

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Q: Consider the function f(x)=1/x+4. Complete the table of values below. x f(x)=1/x+4 -1000...

A: The given function,       fx=1x+4

Q: show thad the diff. equ is hamageneaus and Salve it

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Q: f(x, y) = 3x³ – 2x² y + 5xy + 7y + 14 - Evaluate: %3D dxôy О а. -6х O b. 10y – 4x О с. 0 d. 9x + 7y

A: Given problem:-

Q: x + 2 1. If f(x) = and g(x) = 2x + 5, find: x- 2 (a) fog and state its domain (b) (g•f)(-2) (c) (f•g...

A: To find out fog(x) 

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j - k v = 4i + j – k O p...

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Q: Express the integral in terms of the variable u, but do not evaluate it. e13 In x dx; u = ln x e10 r...

A: Fill the blanks

Q: Apply Gauss-Seidel method to solve the values of the x as given. Continue iterations until two succe...

A: Basic information:  Put: A = x1 ; B = x2 ; C = x3 ------------------------------------------------...

Q: Identify if the given function is continuous on a given interval. 4. [3,7] 5. (-5,5) with explanatio...

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Q: ds = - 2-3 cos t dt Find the function s(t) satisfying and s(0) = 6. ds = -2-3 cos t dt and s(0) = 6 ...

A: Given problem:- Find the function s(t) satisfying (ds)/(dt) = - 2 - 3cos t and s(0) = 6

Q: A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a si...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

A: To find out the terminal point. 

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: We are asked to find which vector is parallel to z

Q: For f(x) in the figure below, find the x-values of the global maximum and global minimum on the doma...

A: Global maximum: A global maximum point refers to a point x=c with the largest y-value on the graph o...

Q: 5. Solve the following Exact/Inexact Differential Equation. If it is inexact, then dy solve it by fi...

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Q: Given x+ y +z= 2 and Po(1,0,1), find the following. (a) Find the equation for the tangent plane at t...

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Q: Find the general solution for each of the differential equations given below. Y” + 2y’ + y = e^-1

A: Find the general solution for each of the differential equations given below. Y” + 2y’ + y = e^-1

Q: Question 13 sin(Va - 1) lim x - 1 (a) 1 (b) 1/2 (c) 2 (d) ∞ (e) none of these

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: d²y dy y = e * is a solution of dx2 = 0 dx

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Q: Find the sum of the series Σ /n+4 n = 1

A: First operate the given sum on both terms and then calculate the sum.

Q: Explain the following true or false questions in full detailed sentences and answers. Explain your t...

A: 1. Answer true

Q: Use the shell method to write and evaluate the integral that gives the volume of the solid generated...

A: Find your answer below 

Q: u = (6, -5, 8)

A: We will find two vectors in opposite direction orthogonal to the given vector. 

Q: Find the direction cosines and angles of u and show that cos2 a + cos B + cos y = 1. (Round your ans...

A: We can solve the given problem as follows:

Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. (a...

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Q: 6. Find the centroid of each of the given plane region bounded by the following curves: y? = x³, y =...

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Q: dy using implicit differentiation given that dr 3. Find y² seca – log(r² + y²) = e* + cot(ry).

A: Solution is given below:

Q: Find u v, u· u, ||v||2, (u · v)v, and u · (3v). = (2, 11), v = (-5, 2) %D (a) A. n (b) u u (c) ||v||...

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Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2 A = 2+ j3

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Q: d sets of parametric equations and symmetric equations of the line that passes through the given poi...

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Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Here we have to determine whether the given sequence is divergent or convergent.

Q: Find a formula for the nth partial sum of the series and use it to find the series' sum if the serie...

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Q: hogs 15 X=4

A: