Let a = (-5, 1, 2) and 6 = (2, - 1,3). Find the angle between the vector (in radians) Check Answer

Q: Differentiate the following function. You do not need to simplify the derivative. dy d.x || y = 2e²²

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Q: Let a = -17-23 + 3k and 6 = 67-53-4k. Find a b Check Answer

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Allouette Shipping Company has a peculiar fee schedule. When determining the price to ship a…

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Q: Find the linearization of the function f (x) = x³ at x = 1. L(x) = Using this linearlization, ƒ…

A: Answer is in next step.

Q: The original quantity of a radioisotope was 100 mCi. How long will take to reduce to 75 mCi, if the…

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Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: Find the area under the curve y Т over the interval [1,4]

A: Topic = Area

Q: Solve the differential equation

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Q: Find the exact average value fave of f(x) = √25 - x² between 0 and 5, then find an exact number c in…

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Q: Use L'Hopital rule, find the following limit? lim (4x + 1) cotx x→0+

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Q: Find the indicated value. fx(9,1) if f(x,y)=9x²y - 5xy³ fx(9,1)= (Type (Type an integer or a…

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Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

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Q: + y² x² + y² = 64 from x=-1 to x=-3 Find the length of arc of the curve x²

A: Given: x2+y2=64 From the limit  x=-1 to x=-3 To obtain the length  of the arc:

Q: Number 1234567890....1234567890 is given and contains 200 digits. All digits at odd places(looking…

A: Given data:- The given number is 1234567890 …..1234567890 (200 digits) To find the one digit left:-

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A: The given function is x2-y2+2xz-xy+yz.

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: Question is solved.

Q: Consider vectors u and v. Find unit vector w in the direction of the cross product vector u x v.…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 5t, where 0 ≤ t ≤ 1.5…

A: The answer as follows:

Q: Find two positive numbers with product 625 and whose sum is a minimum. Enter your answers in…

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Q: Let y = 5√√. Find the change in y, Ay when x = 2 and Ax = 0.1 Find the differential dy when x = 2…

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Q: A fence 16 feet tall runs parallel to a tall building at a distance of 4 ft from the building as…

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Q: x Cothx Y = (Sink x) 4 Find dry" dx [ Sin'x]

A: Given: y=sin hxx cot hx

Q: a. Find the antiderivative of f(t) = 7x + 6x³ - 8x² - 6. Justify your response.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find each of the following when f(x) = t³d =…

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

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Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: Solve the differential equation dy dx y+√√x²+y² X O a. y² = 2x-1 O b. x2 = 2y-1 O c. √x² + y² O d.…

A: To solve the given differential equation.

Q: Solve the following differential equation by using integrating factors. You may assume that * > (x +…

A: To solve the given differential equation.

Q: d. y = ار نے

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Q: Consider points A(4, -1, 3), B(3, 1, 6), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

A: The given problem is solved below in detail.

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7.

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Q: Evaluate f 4x²-3x+2 X dx.

A: Given, ∫4x2-3x+2xdx

Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.

A: The objective of the question is determine the interval in which the given function is increasing.

Q: Prove, using the definitions of tanh and sech in terms of the exponential function, that 1 − tanh2…

A: Substitute the exponential function of tanhx in the equation

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. Enclose arguments of…

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Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A: We have to find partial derivatives and new values of x and y .

Q: The function f is shown below. What is the value of answer in simplest form. -10 -9 -8 -7 -6 -5 4 3…

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Q: Allouette Shipping Company has a peculiar fee schedule. When determining the price to ship a…

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Q: If tant: what is tan (t-T)? 9 2 Enter the exact answer. tan (t – π) =

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Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

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Q: 3. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

A: Topic- application of derivatives

Q: For the function f(x) = two periods. Amplitude: A Period: P = -2 sin HARE Number Xx 37 4 Enter the…

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Q: For the function f(x)= −2sin(x−3π/2), determine its amplitude and period, and then graph it for two…

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Q: 6) 3/2 · 4x²)³/; 9x dx

A: Our Aim is to solve the integral given below:-∫9-4x252x6dx -(i)

Q: The slope at any point on a curve is given by 6x-2. Determine the equation of the curve it passes…

A: Slope of the curve is given by dy/dx

Q: Find the directional derivative fü(9, 2) for the function 37 - 47 5 f(x, y) = xy + y³ with u = fū(9,…

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Q: Let r(t) = cost i + e^t j + t^2 k be given. A) Find the unit tangent vector to the curve at any…

A: Given: rt= cost i + et j + t2 k

Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

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Q: Consider the function f(x) = 10x¹0 + 3x7 - 8x4 - 2. An antiderivative of f(x) is F(x) = Ax" + Bx" +…

A: Given, f(x)=10x10+3x7-8x4-2

Q: (a) Find a unit vector u from the point P = point Q (17, 34). = NOTE: Enter your answer in the form…

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