Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A (b) Un A (c) (B-4) C

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

A: To find the rate of increase or decrease in cost, revenue and profit.

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Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: Use the appropriate compound interest formula to compute the balance in the account after the stated...

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: This is a problem related to vector. Based on the general formula vector we will solve the question.

Q: Find for the given function. w= 10z2 e?

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Q: 2х — а, х < -3 Find the values of a and b so that lim f(x) and limf(x) both exist given: f(x) = {ax ...

A: The objective of the question is determine the value of a and b for which limits exist.

Q: A F(s). s2 + 4 1 B F(s) s? + 2 1 ©F(s) S - 2 DF(s). S + 2 S E F(s) s2 + 4 S - 2 FF(s) = (s - 2)2 + 4...

A: Question-  Find the inverse Laplace Transform of the given function-  f(t) = cos (2t)

Q: Find the centroid of the region bounded by the curves y= x-4 and y = 2x - x. Note that the area of t...

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Q: Consider the two functions fz) = 5x +5 and g(x) = 5x² - 5. a. Determine the instantaneous rate of ch...

A: rate of change means differentiate with respect to x so differentiate it f'(x) = 10x g'(x) = 10x   a...

Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: To find out the time it takes for the drug level in the bloodstream increasing. 

Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0) ...

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x) ...

Q: Given arccos(r) = arccot(z?), solve for dz/dr %3D

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Q: Find an equation for the tangent plane and find the parametric equations for the normal line to the ...

A: I am attaching image so that you understand each and every step.

Q: (D³ – Dª + 4D³ – 4D²) y = 32 cos (2æ) – 20e-

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Q: 2 A spherical snowball is being made so that its volume is increasing at the rate of 8ft³ jmin/ Find...

A: This is a problem related to the volume of the spherical snow ball and change in rate. By using conc...

Q: e. z = In z,ze f. z z = logz, 2, Zd Zh

A: Please see the answer below.

Q: 4. If g(t) = et +e-i' then g'(t) is which of the following? 2et + 4e2t (A) e2t + 2+ e=2t 2et + 4e2t ...

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Q: dy Find if y = In x5 + e-cos2x – In e?. dx dy 4 sin x cos x dy 5 es sin²x-cos2 x dx e cos2 x-sin? x ...

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile i...

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Q: Find the general form of f if f'(x)- 8f(x).

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Q: Evaluate the integral using the following values. 8. x³ dx = 960, 8. 8. x dx = 24, = xp — Зх dx 14

A: ∫48-3x dx=-3∫48x dx Using the given data,  ∫48x dx=24 ∫48-3x dx=-324

Q: 5. Use the comparison test to determine if each integral converges or diverges b) 2 2/3-4 a) e-x² dx

A: Solution: 5.a ∫1∞e-x2dx

Q: Consider the Second Order Differential Equation d?i di drz +77+ 10i = 0 dt Where i represent current...

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: A manufacturer has a steady annual demand for 9,600 cases of sugar. It costs $10 to store 1 case for...

A: Find your answer below 

Q: Q4. Approximate the value of f xv2x² + 1dx using the trapezoidal rule with n = 6. Compare this resul...

A: I am attaching image so that you understand each and every step.

Q: Find the vectoy with the given magnitude and the same direction as u Magnitude Direction ||v|| = 4 u...

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Q: 200 If 50, solve for t. 1 + 5e-0.5t t =

A: Given query is to find the value of t.

Q: Consider the two functions fx) = 5x + 5 and g(x) = 5x - 5. a. Determine the instantaneous rate of ch...

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Q: Given x+ y +z=3 and Po(2,1,0), find the following. (a) Find the equation for the tangent plane at th...

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Q: Let R be the region in the first quadrant bounded on the right by the graph of y = x – 3, above by t...

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Q: Find a formula for the nth term of the arithmetic sequence. a3 = 95, a6 = 107

A: topic- arithmetic sequence

Q: Exercise: Do as indicated if x 4. x. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞,0)? 3 ...

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Q: fm and n are odd integers, then so is m · n.

A: Given query is to find statement true or false.

Q: III. Show that the function is continuous on the specified interval. 11. f (x) = V3x – 5; [3,9]

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Q: Which of the following is true for the interval (2,0) for the graph of fAx) shown below? 5+ 4 3 -5 -...

A: This question can be answered by considering the slope of tangent at any two points in the given int...

Q: Question Determine the ratio in the geometric series below. 27 + 4 243 +... 16 9 81 3+ 8 Sorry, that...

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Q: Use polar coordinates to find the volume of the given solid. Above the cone z = (x2+y2)1/2 and belo...

A: We have to determine volumes of given solid

Q: Solve (D5 – D4 + 4D³ – 4D²) y = 32 cos (2x) – 20e *

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: This question can be solved as per the instruction given.

Q: the interval [a, b], where c; is any point in the ith s Interval [-3, 3]

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Q: E Valua te :- 1X+2y) dx dy when

A: Given problem:- ∫∫D(x+2y)dx dy  Where D : y=2x2 , y=1+x2

Q: 200 If 1 + 5e-0.5t 50, solve for t. t =

A: We can solve for 't' . Firstly multiply denominator term by Right hand side term and simplify . lne...

Q: 9. Given f(x) =-Vx – 3 and g(x) = x² + 3x + 4, what is the domain of z(x) = f(x) – g(x)?

A: 9. The functions area given by fx = -x-3 and gx = x2+3x+4 To evaluate: The domain of the function zx...

Q: (-1)" 2'/n (2n² – 1)" en? n=1

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a cal...

A: The given expression,        3.993

Q: The graph of a function f is shown. The graphs of three of its antiderivatives g, h, and p are also ...

A: topic - anti derivative of a function

Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: 3. If f(x) = cos(x), determine f(125) (-T). V2 (B) 2 (A) 0 (С) 1 (D) –1 1 (E)

A: we will use nth derivative formula of cosx .