dy Find for dx 4) y= sinxtanx

Q: ||r(t) x r"(t)|| ||(t)||' Use the formula K(t) to find k(t). r(t) = 4 cos(7t)i + 4 sin(7t)j+3tk %3D…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 10 cos(t)i + 11 sin(t)j +…

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y = 9 and…

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Q: Suppose a population function P(t)  the following differential equation. P is measured in millions…

A: Given dPdt = P(P-10) The slope field is plotted in Desmos slope field generator

Q: x²– 9 ?

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Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: S- x³dx is equivalent Vx²-4 Using trigonometric substitution,

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Q: Use cylindrical coordinates to calculate SS lw f(x, y, z) dV for the given function and region: f(x,…

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Q: F (x) = f (t³ – t)°dt. Find the derivative of O 5(t – t)* (3t² –- 1) (23 – z)* O 5(2³ – z)“ O 3t2 –…

A: To FInd:  derivative of the given function

Q: 8. Find the volume of the solid generated by revolving the shaded region about x-axis. 10+y 9- y = -…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2 - x)

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Q: y = zsin z

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Q: 3. Find the area of one of the sine curve.

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Q: So 32 (z + 4)° da = 5120 %3D Select one: O True O False S sin4a da = 4 7/3 7/12 %3D Select one: O…

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Q: 4. Use partial fraction decomposition to evaluate dx x' + 4x +3 2

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Q: You are going to build a rectangular shed. You will put four walls around the shed and leave an open…

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Q: 1. The point P(p, 1), where p>0, lies on the curve x2 + 2xy3 – : y = 0. a) Calculate the value of p.…

A: we have to find value of p.

Q: Evaluate the integral (12x + 15y)dx + (24x – y)dy along the paraboli arc y = x from (0,0) to (1,1).…

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Q: ||r'(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = 4 cos(7t)i+4 sin(7t)j + 3tk…

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Q: Find the velocity, speed, and acceleration of a particle moving with position function r(t) = (3t² –…

A: Velocity: Let r(t) denote a differentiable vector-valued function that represents a particle's…

Q: An arithmetic sequence has first term a = 5 and common difference d = 8. How many terms of this…

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Q: Find r'(t), r"(t), r'(t) - r"(t), and r'(t) x r"(t). r(t) = 2t2i – 3tj + t3k (a) r'(t) (b) r"(t) (c)…

A: To find r'(t), r"(t), r'(t).r"(t), r'(t)×r"(t).

Q: Suppose that in the inventory problem, the storage cost depends on the maximum inventory size,…

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Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: - 3 Let f(x) = 8xVæ + x2. f'(x) =

A: Use the derivative for finding the answer.

Q: teimx dx xF I+ x²

A: Given query is to find the integral.

Q: t Attempt in Progress antity P is an exponential function of time t, such that P = 40 when t = 4 and…

A: for simplicity take P0=a Given  for t=4 , P=40 for t = 3 , P = 50

Q: A tank contains 3 kg of salt dissolved in 430 L of water. A salt solution of 0.01 kg salt/L is…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: 5n

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Q: x³dx is equivalent to Using trigonometric substitution, Vx² –4 A 6/ tan*0 seco do B) None © 8 sec0…

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

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Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x. JI zdz de dr .2

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Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: see below the answer and explanation

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: We have to find the inflection point and the concavity and convexity of the curve

Q: 6x – 10,a -1

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Q: Find the arc length L of the graph of r(t). r() = r° i + 1 j+Vor k, 3 <t<7 L = i

A: Given problem:-

Q: Find curl (6z i + 7x j+ 3y k). curl(6z i+ 7x j + 3y k) = ( i )i + ( i j+( i )k

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Q: Given a = 3 units, = 1 unit and the angle between a and b is 30°, determine o) the exact value of (…

A: Solution:

Q: Verify the identity. csc 0- sin 0= cot 0 cos 0 To verify the identity, start with the more…

A: Solved below

Q: Evaluate the definite integral. e18i i+ i- (*" - 1) j + k O (el" - 1) i - (e" - 1) j + - (e" - 1) +…

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

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

Q: If f(2) = 10, f' is continuous, and f'(x) dx = 20, what is the value of f(3)? f(3) =

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Q: A company determines that its demand function is given by p(g) = - 0.8q + 576 and that its cost…

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: Given graph,

Q: r arcsin(5y) dy. Consider the integral V1– 25y? This can be transformed into a basic integral by…

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Q: Suppose a population function P(t) satisfies the following differential equation. P is measured in…

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Q: Complete the following steps for the given function. a. Use polynomial long division to find the…

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Q: Find the partial derivative. z = (x2 + 4x – 2y)° -

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