Find the dot product of the given vectors. ü =-i +5j v=-6i-2j u. v =

Q: Let 7(t) = %3D Find a parametric equation of the line tangent to 7(t) at the point (– 321, 234,…

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Q: Use quadratic formula to find all the real zeroes of the 2nd degree polynomials 6x²-x-1

A: The given polynomial,      6x2-x-1

Q: 15x2 – x3 - 43x - 19 Ax +B C D The integral dx can be rewritten as + dx. (x+1)2(x2-6x+ 13) J ax2+…

A: We need to evaluate integral.

Q: Given: Sox?er*+3, dx. Using integration by parts Sucv = uv - Svau), and letting u= f(x), dv= 3 g(x)…

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Q: x2+x+1 2x2+2+x3+x

A: Solution: ∫x2+x+12x2+2+x3+xdx factor the denominator ∫x2+x+1x+2x2+1dx

Q: Choose the graph of y= 2 arcsin x, - T S YS T 27

A: when x=0, y=0 at x=1 then y=π at x=-1 ; y=-π

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) x = 18 and a = 21. 3x…

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Q: An object traveling in a straight line has position x(t) at time t. If the initial position is x(0)…

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Q: The weekly marginal cost of producing x pairs of tennis shoes is given by the following function,…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is given by to…

Q: An open box is to be made from a square piece of material, 38 inches on a side, by cutting equal…

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Q: Use the algorithm to sketch the curve.

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Q: 6х3 + х2— 5х —7 –dx. Use Зx2 —х — 2

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Q: At least one of the answers above is NOT correct. Suppose f(x) is continuous on [3, 7] and -2 <…

A: Solved below

Q: Write the following first-order differential equations in simplified standard form. dy (5x + 3)y +…

A: The given first-order differential equation,   xdydx=5x+3y+xex

Q: Find the exact arc length of the curve over the stated interval. y = 3/2 – 4, from a 0 to a = 1…

A: y=3x3/2 -4  arc length=∫ab(1+(dy/dx)2) dx a=0 and b=1 given dy/dx=d(3x^(3/2) -4)/dx…

Q: Find the maximal area of a right triangle with hypotenuse of length 2.

A: Given:     Hypotheses length = 1

Q: Find the general or particular solution, as indicated, for the following differential equation. dy -…

A: dydx=-0.4 ydyy=-0.4 dxvariable separable;∫ dyy=-0.4∫ dxln y =-0.4 x + ln cy=c e-0.4 x

Q: dx is solved by trigonometric substitution, which of the following substitutions is used? x2- 2x – 4…

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Q: Find the arc length of the parametric curve. x = 3 cos(t), y = 3 sin(t), z = 4t; 0 <t<+ %3D %3D

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Q: 3.) S, t°(1+ t*y°dt 4.) (x²-5x)e*dx 5.) S(4x²-7)dx/2x+3

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Q: x² sin 2x dx

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Q: 12 x*y dx dy 12 I*y dx dy i

A: topic - double integration

Q: Calculate the vector line integral F. dr. where Fis the vector field (z+ Sy, 2z - y) and Cis the…

A: To find the value of the given line integral.

Q: Question 2 of 10 Find the exact arc length of the curvex= + 2) trom y= 0to y 5. Enter the exact…

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Q: If f(x) tdt then f'(x) =

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Q: Find the following Laplace and Inverse Laplace Transform of the function. 5. f(t) = e-4t (t-cos(t))

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Q: Use l'Hôpital's Rule to evaluate lim 4x( cos (2x) - 1) sin (5x) - 5x 4x( cos (2x) - 1) lim sin (5x)…

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Q: Question A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall walks…

A: Here we use the similar property of triangle

Q: Given the differential equation 8 x y" = Using Reduction of Order and the letter "R" to this…

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

Q: S(2) = - – 4x – 2 a) Determine the intervals on which f is concave up and concave down. f is concave…

A: Note:- This is multiple sub parts question and according to our company guideline we can do maximum…

Q: If the demand equation for an item is D(x) = -3.4x + 740 and a supplier is willing to supply 90…

A: answer is in next step

Q: Suppose that f(x) = 3iV4x?² + 2 (A) Find all critical values of f. If there are no critical values,…

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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 121 is…

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Q: 1+ cot(t) 1+ tan(t) Simplify to a single trig function with no fractions. Submit Question

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 8. x° dx

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Q: Sketch the region and find the area of the region bounded by y = -x2 + 9 and the x-axis.

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Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. A 2/5…

A: topic - area bounded by curves

Q: If matrix A is 2 by 4 and matrix B is 3 by 5 then AB is by If an answer does not exist, enter DNE.…

A: Let's find.

Q: Solve the given differential equation. Ans: + cos x = c 1. y' +y2 sin x = 0 %3D y

A: The objective of the question is solving the differential equations.

Q: Find the solution to the following differential equation. Take the constants of integration to be…

A: Explained below

Q: The​ temperature, T, in degrees​ Fahrenheit, in a​ car's radiator during the first 4 minutes of…

A: Let's find.

Q: Solve the system by using Gaussian elimination or Gauss-Jordan elimination. 2x+7y = -13 3x+18y = -42…

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Q: Find the general indefinite integral. 8v(v? + 9)? dv Step 1 We'll begin by expanding (v + 9)? = 18…

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Q: Given the differential equation 9 y' y" Using Reduction of Order and the letter "R" to this…

A: To find the solution of given differential equation.

Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

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Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: t 048 12 16 f(t)|32|29 25 23 19 Using the Riemann sums and this table, find the left and right sums…

A: Let's find.

Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

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Q: Find the area bounded by the lines and curves y = x? - 2 and y = 2

A: Graph: