Find two unit vectors orthogonal to a = (-1, -3, -1) and b = (5,0,4) Enter your answer so that the first vector has a positive first coordinate First Vector: ( Second Vector: ( 0

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Q: 1 x² +5 -dx 3√x

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Q: Suppose f(x) = In f'(x) = ex² 862₁). F Find f'(x). (Hint: Apply the laws of logarithms to f(x)…

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Q: Evaluate the iterated double 1 6

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A: x is the greatest integer less than equal to x.Then for differentiable of a function f(x) at the…

Q: 9. f(0) = (0 cos 0) sin 0

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Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: we will find the required.

Q: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers…

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Q: Let f(x) = mx 17 if x -9 - If f(x) is a function which is continuous everywhere, then we must have…

A: We know that if the function fx is continuous at x=a then, limx→a-fx=limx→a+fx=finte value=fa or…

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A: Let's solve given differential equation.

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3)t2,…

A: Suppose that the distance an aircraft travels along a runway before takeoff is given by D=…

Q: rite an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....) 6…

A: Topic:- sequence and series

Q: Find the derivative at the specified point. Given m(x) = ²/ X m' (3.14159) = 3. Evaluate the…

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Q: dx + y²x dy = y²x4 dy

A: Here we have to solve the differential equation.

Q: Given that f(x) = x³h(x) h(-1) = 2 h'(-1) = 5 Calculate f'(-1). Hint: Use the product rule and the…

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Q: For the function graphed below, complete the following. (Enter your answers using interval…

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Q: Consider the function f(x) values. f'(x) = f''(x) = f'''(x) = = x-1 Compute each of the

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Q: Use the limit process to find the area of the region between the graph of the function and the…

A: We know that limit definition for definite integral is  ∫abf(y)dx=limn→∞ ∑i=1nf(yi)Δy Where, for…

Q: Suppose that f(x): f'(2) = = 4x e x² + 4 Find f'(2). (Round your answer to two decimal places.)

A: Given function :- fx=e4xx2+4

Q: dy 1. Find Do not simplify. dx (a) cos (x + √ÿ) + tanh¯¹ (sin² x) = ln 3+ y sech (b) y = (x - √e)…

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Q: Evaluate the integral, where S = [1, 2] × [0, 2] × [0, 3]. X X SS₂ (20² + 3y² + 2) dV =

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Q: f(x) -- Н It cos ах |- cos ах

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Q: The height, h, in meters of a dropped object after t seconds can be represented by h(t) = dropped?…

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Q: Calculate and at the points (1, 10, 2) and (1, 10, −2), where z is defined implicity by the equation…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: dy 1. Find Do not simplify. de (a) cos (x + √y) + tanh-¹ (sin² x) = ln 3+ y sech (¹). 1 22 (b) y =…

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Q: Compute the first three derivatives of f(x) and then state the formula for the nth derivative of…

A: Topic = Derivative

Q: Let an be the number of {A, B}-strings of length n with the property that every A is followed by an…

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Q: is a square 90 ft 90 Teet. A waru At what rate (in ft/s) is his distance from second base decreasing…

A: Let, a = runner’s distance from second base   x= runner’s distance from first base   Given, x =…

Q: SECTION 2.3 Differentiation Formulas a(1) - 8 and g'(4) = 7. find f

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Q: Determine if the differential equation (2xy^2 + 3x^2)dx + (2yx^2 + 4y^3)dy = 0 is exact. If the…

A: As we know that: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. Then the…

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Q: 1.f x² + 3x + 2dx

A: Given query is to find the integral.

Q: d f'(3) using f'(a) = lim 2x² + 3x5 f(a+h)-f(x) h for the following fun

A: Topic:-limit definition of derivatives

Q: Find the area of the region bounded by You may use software to graph the curves. Sketch the graphs…

A: Topic = Area

Q: The cost function for production of a commodity is C(x) = 352 + 24x0.08x2 + 0.0009x³. (a) Find…

A: see below the answer and explanation

Q: Consider the following function. f(x) = 2x³ + 3x² - 36x (a) Find the critical numbers of f. (Enter…

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Q: Find the slope of the tangent line to the curve - 1x² + 2xy + 3y³ = - 108 at the point (3, 3).…

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Q: dy Find for y= dz sin(2x) √10-24

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Q: F(t) = A ₁² +B+³ 2 3 t

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Q: Use the first and second derivatives to sketch the graph of the function (4-x2)5. Make sure the…

A: Given fuction is f(x)=(4-x2)5

Q: f(x+h)-f(x) h 2. Find f'(x) using f'(x) = lim h→0 a) f(x) = x+2 for one of the following functions:…

A: Solved below

Q: quations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

A: We need to solve D.E.

Q: Suppose the second derivative of f is given by f'(x) = 7(x² + 36). Determine the intervals of con…

A: Given query is to find the interval where f in concave up and down.

Q: what is the volume of the solid generated by revolving the region bounded by x=6y-y^2 and x=0 about…

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Q: 3) Find the zeros of the polynomial function and state the multiplicity. f(x) = x³ + 4x² – 9x - 36

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Q: 3. Find the derivatives: a) f(x) = 3x³-4 2x²+3 b) DO NOT SIMPLIFY y = (x² + 6x + 2)(²+√x + 3) c)…

A: Given; a) f(x)=(3x3-4)/(2x2+3) b) y= (x2+6x+2)(2/x4 + 3sqrt(x5) +3) c) g(x)=-2csc7x+8sin3x+12tan2x…

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Q: Consider the initial value problem Observe that, if n = 0 or 1, the Bernoulli equation is linear.…

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Q: A local salesman receives a base salary of $550 monthly. If his total sales receipts for the month…

A: Given Base salary = $550 Commission on the portion of sales over $1350 = 6%