Use the alternative form of the dot product to find u. v. ||u|| = 50, ||v|| = 25, and the angle between u and v is 5/6. 1248.695343 X

Q: Find the total area of the shaded region shown to the right given by the - T curve y = 3( sin x)√1 +…

A: Topic = Area

Q: Find the solution of the following initial value problem. y(0) = 8, y'(0) = -55 : y" + 15y' + 50y =…

A: Given :y''+15y'+50y=0y(0)=8y'(0)=-55

Q: Use the graph of the derivative g'(x) shown below and the terminology: increasing, decreasing, local…

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Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

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Q: Use the figure to evaluate the definite integrals y = g(t) K +t 1 2 3 4 5 2 y 1 + -1 -2- +2 +3 2…

A: We can find the area under a curve between two points can be found by using a definite integral.

Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: (3) (3) (4) h. y = sin(x² + 1) i. y = 3e4x5 j. y = In√5x3+4

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Q: Write the sum as a product: cos(16.2x)+cos(5.2x)

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Q: 7. * y = ln x X

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Q: Find the characteristic equation of the matrix by inspection. -9 6 7 -3 0 30 0 4 The characteristic…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: 3. Find the exact value of surface area of the solid that is described by the intersection of the…

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Q: If sin 0 O a) cannot be determined Ob) / 09-1 Od) -42 4√2 O e) 4√2 9 -- and is in quadrant IV, find…

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Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

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Q: Find an explicit solution dyy² dx x² - 1 of the given initial-value problem. y(4) = 4

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ ( 1. (D³ - 5D² + 3D + 9)y = 0 2. (D³ - D² –…

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Q: find the volume of the solid bounded by y=2x+1,y=3and x=4 about using the line y=10 the cylindrical…

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Q: If the curve y= from (0, 0) to (3,9) is rotated about the x-axis, the integral that represents the…

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Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 8…

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Q: Evaluate the iterated integral by converting to polar coordinates IT Sxy dydx

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Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: If f(x) = 4x² − 6x + 7, find ƒ'( − 1). Use this to find the equation of the tangent line to the…

A: Givenf(x)=4x2-6x+7To find f'(-1) & Equation of tangent line

Q: 11. Evaluate the following limit: 4x lim - X18 √x² 2 I - 1

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Q: lynn deposits $683.09 at the beginning of each quarter for three years in order to accumulate…

A: Given Periodic contribution, P=$683.09 Sinking fund, A=$9500.60 Time period, t=12 Quarters

Q: 9. Analyze the graphs of f', then list all inflection points and intervals f that are concave up and…

A: Given Graph of f'x

Q: Question 1 Use the method of Lagrange multipliers to find the maximum and minimum values of the…

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Q: The limit is equal to 1/3/2 Select one: O True O False lim 818 3n² 2n² + 1

A: We can find the Limits .

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: From the given graph, we have to find the increasing and decreasing intervals.

Q: Convert to polar equation. Express rinterms of Q 4x + y = 5

A: The objective is to convert in terms of polar equation.

Q: (4) (3) (4) e. y = 4x³ (2x + 7) 4 f. y = 1 5√√(3-15x)³ g. s = 8cos (4t2 +9) ...determine s' s'(2)

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

Q: 3 The point P is on the unit circle. If the y-coordinate of Pis and P is in quadrant II, then 8 x =

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Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

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Q: The gradient vector of the function f(x, y) = cos(4x - 6y) is (4 sin(4x - 6y), -6 sin(4x - 6y)).…

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Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

A: The objective is to find the solution.

Q: 3. Find all values of in the interval [0,2r] that satisfy the given equations. Your answer(s) must…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: The function y=c1e-x+c2e-5x is the general solution of the homogeneous equation with constant…

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Q: An exponential function f(x) = ab passes through the points (0, 7000) and (2, 4480). What are the…

A: The objective is to find a and b.

Q: Determine the indicated characteristics and graph each function. y = x²(x-1)(2x+3)(x - 5)³ Zeros: 2.…

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Q: Given the triangle not drawn to scale A = 12/ A 19 8 find the measure of angle A using the Law of…

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Q: 1. What is the best method to use given a differential equation with f(x) = sec x? A. Method of…

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Q: Find the points on the graph of f where the tangent line is horizontal.  f(x)=(x^2+8)(5-x) larger…

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Q: The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x about y = 4…

A: For finding limit of integration we should find intersection points of given curves.

Q: The following Telescoping series +∞ Σ n=1 1 1 In((2n +5) In((2n + 7

A: The given series is ∑n=1∞1ln2n+5-1ln2n+7

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: expand e^2x in powers of (x-1)

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Q: Consider the following function and its graph. f(x): X x² + x (b) Use the graph to determine the…

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Q: 2. Set up a double integral using polar cor r=4sin 30. Do not evaluate. nates that will yield the…

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