14. [csc° 0 de cscº 0 24 dy 3y +5 16. Evaluate o

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, -4) and the vector component of v…

A: As we know that; The expression for the vector component of v along b is: Vector component of v…

Q: 2 = e" cos u = e – r, v= re".

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Q: iven that y = sin? (t) and x = cos ( 4t?), hence find dx dy a. 8t sin (8t) sin 2t 8t sin ( 8t2 ) b.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 0.5 -5 -4 -2 1 -0.5 -1 -1.5 -2 Find the following limits, if they exist. 9. lim f(x) x-2- 10. lim…

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Q: 3. Average rate of change - quadratic function. Let f(x) = 9 – a?. a) Compute each of the following…

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Q: 1) Sketch the curve. a) r=-2 sin O r = -2 sin O Show All Work

A: Explanation of the answer is as follows

Q: 4) Find the equation of the plane that passes through the point (6,0, 2) and contains the line x = 4…

A: The plane that passes through the point (6, 0, 2) and contains the line x = 4 − 2t, y = 3 + 5t, z =…

Q: 4. f(x) = Vx , g(x) = Vx + 1 %3D %3D V4-x2 5. f(x) g(x) = |x| %3D V4-x

A: 4. Given : f(x) = ³√x = (x)1/3 and g(x) = √(x + 1) = (x + 1)1/2 fog = f[g(x)] fog = f[(x + 1)1/2]…

Q: 5. Use differentials to find the approximate value of [(5. 99)² + (8. 03)²+ (4. 98)]' decimal…

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Q: (a) x = 4t, y = – 3+ 3t O (x, y) = ( – 3, 0) + 1(3, 4) ai + bj = - 3i + t(3i + 4j) O (x, y) = (0, 4)…

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Q: dx Evaluate: xV x² + 4 None of the given choices +4 - 4 + C 1 4 V x< +4 + 4 x² +4 – 4 + C x<+4 +4 x²…

A: integration

Q: 4. Determine the general equation of the plane containing the points P(1, –4, -5), Q(2,0, 13) and…

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Q: a) Determine whether the following differential equation is a type of linear equation or not, i.…

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Q: Find the derivative of y = x²( - %3D x2+1

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Q: Given f(x) = z-1 22 +x-1 if x<0 %3D find the values if x 20 22 of x where f(x) is discontinuous and…

A: At x=0 , f(x) has removable discontinuous.

Q: Which among the following will result from the evaluation of limit below? lim,0 where m =n. Bg ath…

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Q: 1) Verify that the function f(r) = r - 3x + 2 satisfies the hypotheses of the Mean Value Theorem on…

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Q: Set up a double integral that represents the area of the surface given by z = f(x, y) that lies…

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Q: Let a = ci +j and b = 9i + 12j. Find c so that the angle between a and b is %3D Round your answers…

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Q: c) Find an equation for the plane parallel to the plane 2x – y + 2z = -4 if the point (3, 2, –1) is…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Two functions g(x) and h(x) have derivatives g'(x)=2x2-10x+8 and h'(x)=6x-16. The graphs of g'(x)…

A: Given problem:- Two functions g(x) and h(x) have derivatives g'(x)=2x^ 2 -10x+8 and h'(x)=6x-16  To…

Q: 4. Find the equations of the line tangent to the intersection of the surfaces z = x´ + 2y and

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Q: Consider the sum In(2.25) · 0.25 + In(2.5) · 0.25 + In(2.75) · 0.25 + In(3) · 0.25 + In(3.25) · 0.25…

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Q: Find the directional derivative of f(x, y, 2) 2y at P(5, 1, –4) a + z in the direction from P to…

A: Given: fx,y,z=2yx+z, P5,1,-4, Q2,3,-1   The expression for the directional derivative of the…

Q: 1 0.5 -5 -4 -3 -2 1 2 f -0.차 -1 -1.5 -2 5. Is the function continuous at x = -3? 6. Is the function…

A: topic - continuity of a function

Q: 5g is moving horizontally with speed v o. Question 1: A bullet of mass m= hits a block of mass 100m…

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Q: The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the first 20…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: What is the formula for integrating sin 46 cos 20d0 ? (sin 60 + sin 20) do O S(cos 60 – cos 20) do -…

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Q: d.The exact differential d xdy – ydx e what is the d 1 e. In the differential equation 2xydx+ (y²…

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Q: Solve for a and b that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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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…

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Q: Q3/ The distance between the plane 2x+4y-4z-22%-0 and the point(1,-2.2) will be ?

A: Basic 3d geometry problem

Q: 13. MARGINAL COST, REVENUE, AND PROFIT FOR PRODUCING LED TVS The weekly demand for the Pulsar 25…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: E. 4.724 FREE RESPONSE Consider the exponential function f(x) = - -)*** – 3 to answer the following…

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Q: 5. In the differential equation 2rydx + (y² -xy-0. what is -- 心

A: Solution

Q: tind the first three nonzero terms in the Maclaurin Series of Flx) = tan %3D

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Q: 2 Integrating factors found by inspection.: fr-y+1tr-af²-y²-1ky =0

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Q: The motion of the particle is given by the equation v (t) = 2.00 t² – 3.20 t³ . What is the…

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Q: From Rogawski ET 2e section 10.2, exercise 34. Use the formula for the sum of a geometric series to…

A: topic - geometric series

Q: ƏM ƏN 5. In the differential equation (y² – x² -4x-1)dy+ 2y(x+ y+2)dx=0, what is |

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Q: Evaluate the iterated integral by converting to polar coordinates. (x2 + y2,3/2 dy dx dr de =

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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: Given

Q: Find the area of the region that lies inside the curve r =1- sin 0 and outside the curve r = 1.

A: I have provided this answer with full description in step-2.

Q: An open rectangular box has an area of 441 cm2. If its length must be 3 times its width, find its…

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Q: 2. Suppose that you are told the matrix a b с-26 A = с 2b — а -a – 2b + 2c b a+2b 36 has an…

A: The given matrix,   A=abc-2b3bc2b-a-a-2b+2cba+2b

Q: To evaluate sin e de , factor sin³e as (sin²e) ² sin® and let sin²0 =-(1- cos20). A True B False

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Q: Which of the following is one of the correct steps to evaluate | cos'x dx to obtain the desired…

A: Solution :∫cos7xdx∫cos6xcosxdx∫cos2x3cosxdx∫1-sin2x3cosxdx

Q: { 3x-5, Зх-8, if x 2 limit of f(x) exists.

A:

Q: 1. Find the rate of y with respect to x at the point (5, 8) if 7y-ry 4. dy da

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Q: II. Solve the following problems completely. 4. Substitution Suggested by the Equation:…

A: We can solve the given differential equation by using the substitution u =x+2y