Answer the following True or False. 1 COS T dz = ln(cos z) +C

Q: Find a vector with initial point (4, -4,0) and terminal point (7, -14, - 10). Then find a unit…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A: The given function is x2-y2+2xz-xy+yz.

Q: Let r(t) = (-5t¹-2, - 5e³t, 2 sin(3t)) Find the unit tangent vector T (t) at the point t = 0. Round…

A: This question is related to differentiation, We will solve it using given information.

Q: Find a vector with initial point (-4,-2, 1) and terminal point (-12, 5, -8). Then find a unit vector…

A: Given problem:- Find a vector v→with initial point -4,-2,1 and terminal point -12,5,-8.Then find a…

Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: The regions A, B, C, D, and E in the figure below are bounded by the graph of the function f and the…

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Q: Find the acceleration vector for the position vector r(t) = (sin(11t), 4tº, e -2t). x component = y…

A: We need to find acceleration vector.

Q: Find the arc length (s) of the curve r(t) = (est, -2e5t, 3e5t) for 0 ≤ t ≤ In (2) 8=

A: The arc length s of the curve r→t=x(t), y(t), z(t) for a≤t≤b is given by s = ∫abx'(t)2+y'(t)2+z'(t)2…

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: Given: ∫05|10x-5|dx

Q: Solve the differential equation -1 (x + 3)¯¹ cos (y)dx cos (y)dx O a. cos (y) In b. cos (y) In -…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 5t, where 0 ≤ t ≤ 1.5…

A: The answer as follows:

Q: Enter the exact answer. tan B FREE B 55 Figure 1 4

A: Please refer attached file for solution below

Q: A Ferris wheel is 3 feet off the ground. It has a diameter of 50 feet and rotates every 24 seconds.…

A: Disclaimer: since you have posted sub multiples parts of a question, we will solve only first three…

Q: For each of the following, use the table of integrals found in the textbook to find the an…

A: Answer is in next step. please give a like !!

Q: 2x lim(x,y)→(0,0) x² + x + y²

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Q: Use reference angles to evaluate sec (11"). 3 Enter the exact answers. For the number 7, either…

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Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 7,…

A: To find out the position of the particle.

Q: 1. Determine if the following limits exist: (a) (a) lim (x,y)→(0,0) lim (x,y)→(0,0) ₂2 x² + y² 1 —…

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Q: Evaluate the following integral over the Region R." (Answer accurate to 2 decimal places). S S 4(x +…

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Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: Given the differential equation dy dx = y³ x ex² 9. Find a solution that satisfies the initial…

A: Differential equation: dydx=y3xex2

Q: Q4. Find the values of the constants a, b, c so that - F = (axy + bz³)ī+ (3x² − cz)j + (3xz² − y)k…

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Q: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…

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Q: Let the line PQ pass through the points P = (-4,-4, -6) and Q = (-2, 1, - 16). The line will pass…

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Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.

A: The objective of the question is determine the interval in which the given function is increasing.

Q: Find the indicated value. f(5,2) if f(x,y)=2x²y-5xy³ f (5,2)= 10 (Type an integer or a simplified…

A: Given a function fx,y=2x2y-5xy3 We have find the value of fx5,2 Derivative of a polynomial function…

Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: Consider the function f(x) = 2 (cos(z-7)+2). Determine its amplitude, period, and midline. Enter the…

A: The midline of a periodic function is the horizontal line which is between the function's maximum…

Q: X A company manufactures mountain bikes. The research department produced the marginal cost function…

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 1+ 2x² + 5y², the planes * = 5…

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Q: Write the sum using sigma notation. 2+4+6+ + 50 71°F Sunny k=1 Need Help? *** Read It Watch It

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Q: When completing the square for the quadratic equation shown below, how is c calculated?

A: Our Aim is to show how c is calculated when completing the square for thequadratic equation…

Q: 3. a. Solve the differential equation y'= 2x√/1-y² b. Explain why the initial value problem y'=…

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Q: Let à = (-5, 4, Find the projection proja b =< 4) and b = (-4, 0, -1). of b onto a. -

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Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A: We have to find partial derivatives and new values of x and y .

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. (2423-4x) dx = [

A: Here we will solve the indefinite integral,

Q: Find two positive numbers with product 625 and whose sum is a minimum. Enter your answers in…

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Q: a) b 5. c) [ 4x²-3x+2 dx. x Evaluate f Solve the initial value problem = cost-2 sint, z(0) = dt Find…

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Q: (2x+5)³(52²-2x) 4. Use logarithmic differentiation to find the derivative of the function y = √2x+5

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Q: Find the average value of the following function where 9 ≤ x ≤ 11: f(x) = X C 81 dx

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Q: A curve has an equation x² + y² + 4x − 6y - 12 = 0 · Find the area bounded by the curve O 78.54 O…

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Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

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Q: Constructing Series Practice The power series for f(x)= ----XX 1-x 3-F--- x7 71 and the power series…

A: Disclaimer: since you have asked multiple question , we will solve only first for you. if you wants…

Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

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Q: Find all the values of x such that the given series would converge. ∞ (-1)" Σ (x¹)(n+3) (5)" n=1 The…

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Q: 16

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

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Q: Find the cross product u x 7 where u = 51 -3j+k and = (-1, -3,2). uxv=

A: To find the cross product u→×v→ where u→=5i-3j+k and v→=-1, -3, 2.

Q: For the function f(x,y) = 8x² + 7y², find f(x + h,y)-f(x,y) = h f(x + h,y)-f(x,y) h

A: Given, f(x,y)=8x2+7y2

Q: Find the arc length (s) of the curve r(t) = (3t, 2 sin(2t), 2 cos (2t)) for -4 < t 5 S = Check…

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