Find the length of the curve r(t) = 4ti+1j+ b) O d) 632 15 1264 15 1264 5 2558 15 2528 15 + k from t = 1 to t = 5.

Q: c) Ok= d) Ok= (144 +¹+4) 3/2 48 |t| (144 +¹+4)³/² 48 t 3/2 (576 +²+4)³/²

A: solution is given below...

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A: Given : y=2x3-3x2Find : the derivatives using the definition of limits (4-step rule) : Let given…

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A: Please see the below picture for detailed solution.

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Q: 11. Complete the following b) y_dB = 100 dBW + 10 dBm 15 dBm

A: We have to complete the given expression.

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Q: what is the vector representation of A ( 2, -5, 3) to the origin?

A: Concept: The representation of vector: The representation of vector is done by using the arrow. We…

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: Recall: Disk method

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A: If f : A → B and g : B → C then (f∘g) : C → A defined by (f∘g)(x) = f(g(x)) for all x belongs to C.

Q: Use the intermediate value theorem to show 2x^3+5x^2-3x-5=1 has a solution on the interval (0,2)

A: Given equation, 2x^3+5x^2-3x-5=1 That is 2x3+5x2-3x-6=0 Therefore given function, f(x)=2x3+5x2-3x-6

Q: 1. ASSUME THAT Z IS IMPLICITLY DEFINDED AS A FUNCTION OF X AND Y. FIND THE FIRST PARTIAL DERIVATIVES…

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Q: Solve the DE y' = xe2y, subject to the initial condition y(0) = -1. Oy = -(1/2) In (-x^2 - e^2) Oy =…

A: This differential equation can be solved by using the method of separation of variables.

Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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Q: 5. 27 × 12 ㄷ 54 350 6. 18 x 15

A: The answer of 5) 27*12 = 324 The answer of 6) 18*15 = 270

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Q: An airplane flies at an altitude of y = 2 miles toward a point directly over an observer (see…

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Q: Evaluate the integral, which has irreducible quadratic factors.       7 (x − 7)(x2 + 2x + 9) dx…

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Q: answer

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Q: equation x^3dy - y(x^2 - y^2)dx= 0.

A: Mdx+Ndy=0 called exact differential equation if ∂M∂y=∂N∂x and its general solution is ∫Mtaking y as…

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Q: The measurement of the edge of a cube is measured to be 8 inches, with a possible error of 0.02…

A: The solution is given below

Q: 44+2

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Q: The figure has a tangent line drawn at a labeled point. c(t) thousand chips (1.95.7.7) T7 6 4 2 t…

A: Concept: Rate of function =slope of the tangent at point (x2,y2) and (x1,y1)m=y2-y1x2-x1%rate of…

Q: 5. Prove the following using the & - 8 definition of a limit: lim 3 - x = −5 x 10

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Q: Given the initial value problem (4x3y - 18x2 + y)dx + (x4 +3y2+x)dy = 0; y(1) = -2 1. Determine if…

A: A differential equation of the form Mdx+Ndy=0 is called exact if ∂M∂y=∂N∂x The solution for the…

Q: 1- y²dx + √√√1-x²dy

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Q: 4x²y dx + 2x³ dy-10 y² dx - 15xy dy = 0

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Q: Which of the following is the particular solution of the differential equation y(3x + 2y)d: x^2dy =…

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Q: Find the domain of the following function. f(x) = ln(9-√√x-2)

A: Topic = Functions

Q: an = lim an n→+∞ The sequence diverges

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Q: 1. Consider the ODE: (2x + 4y) + (4x − 2y + 1)y' = 0. Verify that the ODE is exact and then find its…

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Q: Find the derivative of y = 25 Select one: O a. O b. du O c. O d. dy e. || -(2x-5)cscrcotx-2cotx…

A: Solve for the derivative

Q: Let R be the region between the x-axis and the graph of f(x)=x^2−3x on the interval [0,3] The solid…

A: Given that the region R is bounded by the function f(x)=x2−3x and x-axis on the interval [0,3].

Q: 1. Find the x-intercept of f(x)=(x+2)/(x+1) a) -1 b) -4 c) -3 d) -2

A: Solution: given function, f(x) = (x+2)/(x+1)

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A: On solving this we will get

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Q: Use Hooke's Law to determine the variable force in the spring problem. A force of 250 newtons…

A: Solution is done in step 2

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Q: The solution of the differential equation y' = ² - al 2 + 1 is:

A: