Find the area (in square units) of the region under the graph of the function f on the interval  [−1, 5].   f(x) = 2x + 6 _________________square units

Q: Question 12 Use the graph of f to evaluate the following: -1 6 5 4 3 2 15 1 f(x) 1 X 2 3 4 5 6 The…

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Q: What are the equations of the asymptotes for the function y = tan - where 0<x<2 4 x = 1 x = 0.5,…

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Q: Evaluate the integral. π/4 π/4 -π/4 -π/4 [(2 sin t)i + (3+6 cos t)j + ( sec² t) k] dt = [(2 sin t)i…

A: We need to evaluate the integral and find the result

Q: 1. dy dx. = 5y

A: To find the general solution of the given differential equation. To give the largest interval over…

Q: 2. g(x) = on 1≤x≤5

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Q: The slope of the tangent line to the curve y = 2 X at the point 5, 25 is: The equation of this…

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Q: Consider the differential equation. y' 4t Y -;_y(0) = yo ve the differential equation and determine…

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Q: 3. Use a Riemann sum with 10 rectangles of equal width to approximate the area of the region below.…

A: ThecRiemann sum with n rectangles Area under the curve is given by Here is the maximum value of f(x)…

Q: Find the inverse Laplace transform of F(s) : = f(t) = -7s - 28 s² + 5s 6 -

A: The given function

Q: (1 + t2)(dy/dt) + t · y = (1 + t2)5/2. Find general solution. SHOW ALL STEPS PLEASE. I DON'T KNOW…

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Q: Consider the graph of f(x) given below: -6 پر f(z) dz - Number - 4 f(a) da - Number Number f(x) dx…

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Q: Find a formula for the derivative of the function g(x) = 5x² – 10 using difference quotients: _g(x)…

A: To find a formula for the derivativeof the function  by using difference quotients.

Q: Compute uxxx for u(x, t) = 9 sech² (2x − t). (Use symbolic notation and fractions where needed.)…

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Q: In a right triangle, if we set cos functions in terms of t: 3t, evaluate the values of the other…

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Q: In this exercise, we will compute the definite integral 13z (z — 4)| dz. Yes, that's an absolute…

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Q: Guess the value of the limit lim x →∞0 6x by evaluating the function f(x) = x5/6x for x = 0, 1, 2,…

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Q: Find the limit. (If an answer does not exist, enter DNE.) (x + x)² - 4(x + Ax) + 6 − (x² - 4x + 6)…

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Q: 13. (x + ye) dx - xe dy = 0, y(1) = 0

A: given differential equation

Q: 12. First simplify using identities and then solve 2 cos 0 + tan 0 0 6 О п 5п 7п 4¹ 4 2 2 2 О п 3п…

A: First to simplify by using the identities and then to solve

Q: Find the x-value at which f is not continuous. Is the discontinuity removable? (Enter NONE in any…

A: To Find the x-value at which f is not continuous.To determine whether the discontinuity is…

Q: Use the figure below to give an approximate value for the limit lim f (x) (if it exists). x-0 If the…

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Q: The formula d = 8t - 11 expresses a car's distance (in feet) from a stop sign, d, in terms of the…

A: The formula  expresses a car's distance (in feet) from a stop sign d in terms of the number of…

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

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Q: The following graph shows the function ƒ(z) - 2+√, and the line that is tangent to the curve off at…

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Q: 1) ƒ (x,y) = 2xy = = (x++y4) + 1

A: As per the guidelines I am supposed to solve one question at a time. Please repost the other…

Q: Solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has…

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Q: Find the numbers at which f is discontinuous and determine whether f is continuous from the right,…

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Q: d. Deduce the value of the limit using a table of values of f(x). lim (√x²+x+9+a)

A: Given that    limx-&gt;-∞(√(x2+x+9)+x) Here we have to find the value of the given limit.

Q: In Problems 13-24, determine whether or not the graph is that of a function by usinge vertical-line…

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Q: II2. Find an equation of the plane that contains the intersection points of the ellipsoid 9x² + 4y²…

A: To find the equation of plane?

Q: 1 I 4 x 4 x 4 49. lim-

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Q: Consider the following function. f(x) = |x − 2| Find the derivative from the left at x = 2. If it…

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Q: Solve the differential equation. dy 5√/xy dx = 3, 3, x, y> 0

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Q: s(t) = -16t² + vot + so (a) Determine the position and velocity functions for the coin. s(t) = v(t)…

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Q: For g (x) = g(h(x)) = 2x² + 7x and h(x) 32 x² + = 12 4x - 1, X + i 5

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Q: Determine the Least Common Denominator that would allow you to eliminate the 3 4 fractions and solve…

A: To determine the Least Common Denominator that would allow to eliminatethe fractions and to solve…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

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Q: Question 6 Let f(x) = x³ 3x + 2. Then the equation of the tangent line to the graph of f (x) at the…

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Q: 1. Find the differential equations of the given relations by elimination of arbitrary constants. 1)…

A: Find the differential equation of given relation

Q: Find the derivative of the function: r(x) = 2/3x^2 + 1/x^2.1 r'(x) =

A: Derivative  of a function  f(x)= xn  is                                                 f'(x)=…

Q: The Intermediate Value Theorem can be used to prove that the equation x² + 4x +3=0 has at least one…

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Q: At what point do the curves r₁(t) = (t, 5 t, 48 + t²) and r₂(s) = (8 s, s - 3, s²) intersect? C (x,…

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Q: Find an equation of the tangent line to the graph of the equation at the given point. arctan(x) ) =…

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Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = - 4k…

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Q: Explain the Lagrange multiplier method to solve optimization problems that have restrictions.…

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Q: Question Find the equation of the tangent line to the function f(a)-a³+²-z-3 at the point where a--2…

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Q: Consider the following vector function. = ( 11, 1/12, 12) 7t, (a) Find the unit tangent vector T(t).…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [7,…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -5 and g'(2) = 4.…

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Q: Find the Laplace transform, F(s) of the function f(t) = (e4t - e5t) ², t> 0 F(s) = S> 4

A: Laplace transform of exp(at) is equal to (1/(s-a)), where s&gt;a.