Let a = (4, 0, 5) and 6 = ( − 3, − 1, 1). - Find the projection of b onto a. projā b = < Calculator -128 41 Check Answer X 0 7

Q: Evaluate the iterated integral In 3 In 5 Ţļ 3y dy dx

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Q: Determine the open intervals on which the graph is concave upward or concave downward. f(x) = x² + ²…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3, 0 ≤ x…

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Q: Evaluate the Limits: a) limt->-1(t2+3t+2)/(t2-t-2) b) limx->9 (9x-x2)/(3-x1/2) c) limx->-inf…

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Q: With an annual inflation rate of 1.33%, how much did an item that now costs $1100 cost 4 years…

A: Given present cost of item=1100 $time= 4yearsand rate=1.33%=0.0133n=1 (inflection rate yearly, n=1)

Q: "This passcode consists of the two below limits which include an Remember to type "infinity" for 0,…

A: For x approaching c from the left, x&lt;c  ⇒  x-c5&lt;0The denominator is a negative  approaching…

Q: Find and simplify the derivative of f(x) = ln(cosh (ax))

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. x²-1…

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Q: If x² + y² - 3xy² = -1, find dy/dx in terms of x and y. Using your answer for dy/dx, fill in the…

A: Given equation:- x2+y3-3xy2=-1

Q: Find the Cartesian equations a. r = 3 b. rsin 0-10 c. rcos 0+3=0

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Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (tan(x)) 5/x y' =

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Q: For the following exercises, the vectors u and v are given. a. Find the vector projection w= proju v…

A: Given: u=5i+2jv=2i+3j

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given two points ( 3 , 2 , 1 ) &amp; ( 3 , 1 , -7 )

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: that the cords have been disconnected from the device. "Computer, how do I plug in these cables",…

A: f(x)=ln(3x) f'(x)=313x = 1x f'(c)=1c   it is required Red cord.

Q: The number of cell structures in a Minbari stem cell (fictional) is modeled by f(t) = 1 + 30t - 10t³…

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Q: For a one year bond of $2,500 at a simple interest rate of 9% per year, find the semiannual interest…

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Q: (a) The curve with equation y2 = 5x4 - x2 is called a kampyle of Eudoxus. Find an equation of the…

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Q: Find the volume of the wedge cut from the first octant by the cylinder z = 12-3y² and the plane…

A: We have to find the volume of cylinder.

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A: Given function:- fx=x2-4x-2

Q: 7. Integrate the function 4ry³ over the region bounded by y = x, x=2, y = 0. (2.2) (0,0) (2,0)

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Q: Let f(x) = x³ – 5x² + 2x - 5. Find the open intervals on which f is concave up (down). Then…

A: The solution is shown below-

Q: Use the graphs of f and g shown below to find the following: (a) g (f (2)) = (b) f (g (4)) EHH f(x)…

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Q: (It sinx) dx + #* HN (It sin x) dx

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Q: A particle moves according to a law of motion s = f(t), t≥ 0, where t is measured in seconds and s…

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Q: for the following question above help me solve b and f, please. thank you

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…

Q: Find the derivative

A: Given: h(x)=(x-3)e5x-7x4

Q: Consider the function f(x,y)=e^4x−x^2−4y−y^2. Find and classify all critical points of the…

A: Given function:- fx,y=e4x−x2−4y−y2

Q: Find y" by implicit differentiation. Simplify where possible. x² + 7y² = 7 y" = =

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Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

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Q: Ingrid wants to buy a $15,000 car in 6 years. How much money must she deposit at the end of each…

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Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

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Q: Find the volume of the region bounded above by the paraboloid z = x² + y² and below by the triangle…

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Q: (a) Solution: Try u = x + y. Then This is separable Thence 1 du dx u² = x² + C 1+ dy dx dy dx = =…

A: Student is not able to understand few steps in the solution so I just have to add these steps.

Q: Assume the functions below are continuous with domain all real numbers. (a) If f'(a) = 0, then x = a…

A: Given that:- The function is continuous with domain all real numbers

Q: Consider the improper integral Justify your reasoning. (a) dr. Does it converge or diverge?

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Q: Let f be a function with f(x) > 0 for all x. Let g = 1/f. (a) If f is increasing in an interval…

A: The given data is:  Let f be a function with f(x)&gt;0 for all x. Let g=1f

Q: 2. Find the derivative of the given function. (a) f(x) = tan²x. (b) g(x) = xsinx.

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Q: find the general solution of the following differential equation. y′′′ − 3y′ + 2y = 0

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Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

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Q: Consider the functions graphed below. C (0,b) (1,1) (a) Find the slope of the line. slope = Answer…

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Q: Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at…

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Q: Let f(x) = 8x³ + 1. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.70 mm/min. How fast is…

A: We have to find the rate of change of volume.

Q: 3. Find the volume generated by revolving the area bounded above by y = ex, bound below by y=and x =…

A: The given curves are y=ex, y=11+x and x=1. From the given curves the bounded region is shown below;…

Q: Find the length of the curve y=ln(1-x^2) for 0≤x≤1/8

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Q: Differentiate the function with respe z' = Z A .6 yo + Bey

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Q: 8. Solve the following. (a) Find the equation of the tangent line to the graph of f(x) = x²-9 at x =…

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Q: Find the gradient vector field of the function f. · cos(1) f(x, y, z) = 4x cos( Vf(x, y, z) = 4 cos…

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