Let f(x, y) = 2x and C be the line segment on the plane from (0, 0) to (3, 4). Evaluate the line integral Sc f(x, y) ds.

Q: 2) 1 Vl-x dx

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Q: z (hx) = h + k

A: y'+y=(xy)2

Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

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Q: 2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)

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Q: Ship A leaves port sailing west at a speed of 30 mph. Six hours later, Ship B leaves the same port…

A: Given dxdt=30dydt=35

Q: find do if yot' and both de and h = X

A: We will find the derivative.

Q: 2. Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed,…

A: solution:-left end pointRiemann sumnumber of rectanglen=5∆t=10-05=2t0=0, t1=2,  t2=4,  t3=6,  t4=8,…

Q: Find f'(-2) if f(x) = 3 -7x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

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Q: Find the marginal profit function if cost and revenue are Pix- given by C(x)=215 +0.7x and R(x) = 3x…

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Q: 3. Find the interval on which the curve of y= 2 1+3t+t² dt is concave up.

A: Second derivative is positive.

Q: A curve is defined by the parametric equations x (t) = at² and d² y y (t) = bt where a and b are…

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Q: Find the parallel projection of the vector v = onto the vector w=.

A: Given problem:- Find the parallel projection of the vector v=<4, -5, 7> onto the vector…

Q: Complete the Proof Statements Reasons 1. ABCD is a AC BD given 2. AD BC 3. 4. LABC = ABAD 5 ZDAB…

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Q: n 2sin(x)=1, on the interval 10, 2π], what is the value of x?

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

Q: ∞ The polar curves r = 1 cos and r = 1 + cos are shown in the figure above. Which of the following…

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Q: Let f'(x)=(x-1)(x-3). Then f is increasing on a) (-∞,1]U[3,0) b) (-0,2] c) [1,3] d) [2,00)

A: Let f'x=x-1x-3

Q: 4. f(x) = 5. f(x) = 6. f(x) = 2x+sin x x sin x 2x²+x x sinx+2 sinx 2x²

A: Solution

Q: Find the critical points and determine if the function is increasing or decreasing on the given…

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Q: [*³- x³ − 2x² – 3x x + 2 dx

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Q: 1. Evaluate the following limits: 4. lim x→2 sin(4x-8) 4x-5x-6

A: Ans - In this question, we will find the limit of the given expression.

Q: mph. Ship A leaves port sailing west at a speed of 30 mph. Six hours later, Ship B leaves the same…

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Q: Given cos(8)= - 5 m<8<³ 2 for π<8<- then tan(0) =

A: We can find the answer as below.

Q: Let the vector v have an initial point at (−1, 1) and a terminal point at (5, –5). Plot he vector v…

A: We have to find the component, magnitude and direction of given vector.

Q: Write TRUE or FALSE before each statement. Solve y dependent variable. differential equation.…

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Q: dw For the given functions, (a) express as a function of t, both by using the chain rule and by…

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Q: arbor during a certain 24-hr period is approximated by the function 2]. + 7.9 (0 ≤ t ≤ 24) esponds…

A: The rare of change of a function f(x) at x=c is f'(c)

Q: Let D be the region enclosed by y = eª, y = e¯ª, x = 0 and x = 2. The volume of the solid formed by…

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Q: Q3: A. By power series, prove that: d 4 sinhx dx coshx

A: Explanation of the answer is as follows

Q: 2) Find AB and BA if : A = [1 2 3], 405 B = 0 -6 -7 8 9 10 -11 6] 7 -8.

A: For matrix multiplication , the number of columns in the first matrix must be equal to the number of…

Q: ectors u = (−8, 1) and v = (-7,-8), find the difference v- at the difference graphically in two…

A: Here I am providing my handwritten solution

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: Let the vector v have an initial point at (2, −6) and a terminal point at (6, –4). Determine the…

A: To find out the components of vector v.

Q: Find where the curves intersect, draw a sketch of the region (label it completely), and compute the…

A: This question can be solved using area bounded by curves.

Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnon n=0 Find the…

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Q: Find the gradient of f(x,y,z) = (x² + y² +z²) ¯ - 1/2 Vf(-21.-2)=(1+Dj+k (Type integers or…

A: topic - gradient of a function

Q: 3) x= √y + 1, x= ²2 +1 Axis: x = 1

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Q: Let f(x) = In(64x2 + 16x + 26). (If an answer does not exist, enter DNE.) (a) Find the interval(s)…

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Q: 2. Below is a graph of the exponential function f(x)=2¹. 10- 9. -10-9-8 10 +6 a. Describe in words…

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Q: Let the vector v have an initial point at (2, −8) and a terminal point at (−1, −8). Determine the…

A: Let the vector v have an initial point at 2, -8 and a terminal point at -1, -8.To determine the…

Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

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Q: II. (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) Investigate…

A: we have to check continuity at x=1 for the given function

Q: •√√x + 2 Evaluate -dx using rationalizing substitution. Which of the following statements is…

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Q: Calculate the integral approximation S6 for 0 -1 4-² dx.

A: In this question we have to find the Integration.

Q: If a parabola's focus is at (-2,5) and directrix is at y = -1, what is the vertex form of the…

A: The correct answer is option (2).

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: 6. Evaluate J-csc(x) cot(x) dx O cot(x) + C O csc (x) + C O-cot(x) + C O O O O Cannot be found

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Q: 7 13 8 a Find the area of the shaded region above.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vfl (1,2,2)=(i+₁+O (Type integers or simplified…

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Q: If 2 = (6,-5) and a = (-2,6), find |2+3.5d |. O 5√11 O √146 O 16 2√73

A: topic- vectors

Q: Evaluate LL²³ S²x² y² وژ sin z6 dx dy dz

A: To evaluate: ∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz Let, I =∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz First integrate with…