Please answer #9

Q: Evaluate the integral: 14√²-49 TA dx (A) Which trig substitution is correct for this integral? O x =…

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Q: (xave cos (x²) 1-x4

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Q: A rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given…

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Q: BOTH AXES FOR f(x) USE THE USUAL "1-2-3" SCALES y = f(x) Vertical intercept: Horizontal…

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Q: Find c such that the function x≤c (r² - 3 10x - 28 x>c is continuous everywhere. f(x) - {10.

A: f(x)=x2-3   x≤c10x-28   x>cgiven  f(x) is continuous every where conditio for continuty of f(x)…

Q: Consider the following function on the region described by the inequality. f(x, y) = 2x² + 3y² - 4x…

A: Given data: f(x, y) = 2x² + 3y² - 4x-8, g(x, y) = x² + y² ≤ 16

Q: If the length of the smaler edge, x is increasing with time, x = t? (where t = time in seconds).…

A: given  x=tt is in seconds d dx(xn)=nxn-1

Q: Find the linearization of the function f(x) = x L(x)= 1 77 sin (a) at z = 1. Using this…

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Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

A: The given integral ∫4x+65xdx. We have to find the value of integral.

Q: Given z = ebulv (Use symbolic notation and fractions where needed.) dz dt II ,u= √t, v = 81³ + 1.…

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Q: Find all values of a such that the vectors = and are perpendicular

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Q: if x^2 + y^2 + z^2 = 9,  dx/dt = 5, dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)

A: If x2+y2+z2=9, dxdt=5, dydt=4. To find dzdt when x, y, z=2, 2, 1.

Q: Given a rectangular box. Lengths are in cm 2x X X

A: The figure of the rectangular box is  To determine: The rate of change of volume of the box with…

Q: Question 2 Find the solution to the DE. (y-x+xycotx) dx + xdy=0 xysinx=C+ sinx - xcosx Oy=(c +…

A: Concept: For a differential equation of the form P(x,y)dx+Q(x,y)dy=0 The differential equation is…

Q: Let a be a number and let f, g, and h be functions defined on on Interval I about a. Suppose that…

A: Given: limx→afx=7, limx→ahx=3 To find:  limx→2facosπx, limx→afxfxgx+3hx, limx→33-xx-3

Q: Find all values x= a where the function is discontinuous. For √x-9 k(x)=2e

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Q: Af(x) X

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Q: The equation y'-y=4te is a first order linear DE in standard form. True O False

A: The objective is to find the correct option .

Q: The equation of motion of a particle is s = t³ - 3t, where s is in meters and t is in seconds.…

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Q: Solve the initial value problem.

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Q: Learning Target DC3: I can compute derivatives correctly for trigonometric functions and…

A: (1) y=sec(x)d dx(secx)=secxtanxd dx(sinx)=cosx d dx(tanx)=sec2xd dx(xn)=nxn-1d dx(x)=12x

Q: ated quantity if it exists. Let f(x) = )= | (Type an integer.) t does not exist. orrect choice below…

A: Given query is to find indicated limit.

Q: You want to enclose a rectangular region with an area of 8000 square feet. Express P(w), the…

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Q: Find the point on the graph of z P = -(3x² + 4y²) at which vector n= (30,-40, 1) is normal to the…

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Q: Solve the following differential equation. Show your complete solution. 2. x² dx + y(x - 1)dy

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Q: Suppose the demand for a certain brand of a product is given by 2 -P +350, where p is the price in…

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Q: Let f(x) = x+7 x +3 The domain is a E for mol . (Enter the domain as an interval. Use U for union…

A: f(x)=x+7x+3for domain x+3≠0

Q: The graph of y = f(x) is given below. Answer each of the questions below the graph. 10+ -9 -8 -7 16…

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Q: Consider the ellipsoid 3x2+2y2+z2=12. The implicit form of the tangent plane to this ellipsoid at…

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Q: dr Find for 0-718 de de || -7/8 -r = -3. -

A: Given query is to find indicated derivative.

Q: Find the center and the radius of the sphere. x² + y² +z²-3x + 2z=0 The center of the sphere is (0…

A: The given equation of sphere is: x2+y2+z2-3x+2z=0 To find the center and the radius of the sphere.

Q: At what exact point on the curve y = 2 + 2ex - 3x is the tangent line parallel to the line 3x - y =…

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Q: The graph of y = m(z) is given below. Answer each of the questions below the graph. 10+ 9 st…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose z = f(x, y), where f is differentiable, x = g(t), and y = h(t). If g(6) = -7, g'(6) = 6,…

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Q: Find the limits in a) through c) below for the function f(x) = O A. a) Select the correct choice…

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Q: I Given, dr=b(cos@dr+rsinºd€) ; r (ñ) =1, Find r(7). O 1 1+b 1+b 2 1 1+b b 1+b (1-b)

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Q: Find the direction of P₁ P2 and the midpoint of line segment P₁P2- P₁(-7,5,10) and P2(-5,7,11) 2 1 O…

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Use the Change of Variables Formula to evaluate the definite integral. 1.* 0 x1 + 6dx (Express…

A: c∫xmdx=xm+1m+1+cd dc(xn)=nxn-1

Q: D 4 Describe verbally the transformations that can be used to obtain the graph of g from the graph…

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Q: & 5. Radioactive decay. Gold-198 has a decay rate of 25.72% per day. The rate of change of an amount…

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Q: Let f(x) Find the critical points of F and determine whether they are local minima or local maxima.…

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Q: Convert the cartesian coordinates to polar coordinates with 0 0. (a) (-1, -7√³)=( 7 (b) (0, 7) = (…

A: a) The given cartesian co-ordinate is: -72, -732 Here x=-72, and y=-732  To cartesian co-ordinate to…

Q: For solving the integral cot(10x)csc^4(10x) I know we can solve this by making u = csc(10x) and the…

A: To find:- ∫cot10xcsc410xdx

Q: Evaluate f(x+3) when f(x)=x²-3x+4 (Be sure to simplify your answer)

A: Topic = Function

Q: Given, dr=b (cos@dr+rsin0d0) ; r(t) = 1, Find r(). 1 1+ b 1+b 2 1+b O b 1+b (1-b)

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Q: 2. Prove that there is some positive number such that 07-20+ sin(0² + 1) = √5. Your proof mus quote…

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Q: The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity…

A: To find the angle.

Q: For what value of k will the function f be continuous on (-∞, ∞)? f(x) = = +2 9 x + 3 k if x # -3 if…

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Q: An automobile starts from rest and travels down a stra the starting position after ₺ seconds is…

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Q: Find the derivative and domain for the function f (x) = = 3x-2 5x2–25

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