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Q: 15) y = sec ²(x); dy = ? Jx B) 2 secx. tanx c) 2 sec²³x. Tanx E) TanX A) 2 SecX D) Sec²x. Tan²x

A: Given query is to find the derivative.

Q: Given the following vectors, calculate 5u + 3v. Answer u = (7,0), v = (-8, 10)

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Q: (19) Find the solution of the separable equations a) the general solution: b) the unique solution…

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Q: Solve the differential equation with initial condition. y + y = 0, y(0) = 4

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Q: Given the points P(−2, 3) and Q(−2, −5), find the magnitude and direction of PQ. Provide your answer…

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Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral F.ds,…

A: Divergence theorem

Q: Find the radius of convergence, R, of the series. (-1)^ gn √n M² n = 1 +²

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function.…

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Q: X4 none of these X (c) f'(x) does not exist.

A: f''(x) = 0  at sharp corner f'(x) does not exist for f'(x) = 0 , tangent line is horizontal

Q: a) Draw the vector 2 - 3 + W. b) Show how to use the parallelogram rule to add u and w

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Q: [xln x In √x dx

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Q: The number of hands is

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Q: Determine an equation for the level surface of g that would pass through the pointa: (-7, -2, 5).…

A: We need to find level surface.

Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for T.…

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Q: Suppose you deposit $6000 at 6% interest compounded continuously. Find the average value of your…

A: Given: Deposit Amount = $6000 Interest rate = 6%

Q: дх 5 + 2¹(1² 1 -)dt

A: To find the derivative

Q: A produce buyer for a juice company is buying apples. He makes a choice of either Washington,…

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Q: Find the average rate of change of the function over the given interval. 1) y = √√√2x, [2, 8]

A: formula for average rate of change is  =f(b)-f(a)b-agiven f(x)=2x , given interval is  2,8there for…

Q: Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for…

A: Given, Position of the particle P is given by yt=4t2-5t+7 The position of the particle Q is given by…

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

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Q: 2) Given the following graphs determine the end behavior using the formal limit notation (lim f(x)).…

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Q: 7(x-3)² = 43-(y + 1)²

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Q: ds Given the velocity v= and initial position of a body moving along a coordinate line, find the…

A: use integration for finding the  position

Q: (a) find vectors 30 and +2 (b) find lu + 2√1

A: The answers are given below:

Q: Evaluate the surface integral. Jo (x + y + z) dS, S is the parallelogram with parametric equations x…

A: Given that the parametric equation of parallelogram is x=u+v,y=u-v,z=1+2u+v with 0≤u≤7,0≤v≤5And the…

Q: Find a . b. |a| = 9, |b| = 8, the angle between a and b is 30°.

A: Given, |a| = 9, |b| = 8 The angle between a and b is 30° We have to find a•b

Q: Let g(x, y) = 3x³-6-2-5-y2 +1. a. ag ar Show/hide

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Q: Find all the antiderivatives of the function f(x) = -6.

A: ∫xndx=xn+1n+1+cgiven  f(x)=-6

Q: If x>1, pick the expression below which always decreases as x increases 1 x==²=22 X a) x.

A: Given : x > 1    in only option C , x is in denominator . Therefore as x increases , 1/(x+1)…

Q: Find the center, foci, vertices and asymptotes of the hyperbola. (y-3)^2/ 25 - (x+1)^2 =1

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Q: 구 s2+75+16)

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Q: What is the are between the graph of y=4x³+2 and the x-axis from x=1 to x=2

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Q: Consider the following series. n = 1 Evaluate the following limit where an = R = x n42n I = an+1 lim…

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Q: Calculate the derivative of: f'(x) = sec² (15x) f(x) = COS -¹(15x) sin ¹(15x)

A: Given function:- fx=cos-115xsin-115x

Q: (b) A manufacturer of lightbulbs wants to produce bulbs that last about 700 hundred hours, but of…

A: Given: a manufacture of lightbulbs wants to produce bulbs that last 700 hundred hours but of course…

Q: y dx + (x-xy+2) dy =0

A: given differential equation is  ydx+(x-xy+2)dy=0⇒dxdy=-x-xy+2y⇒dxdy+x1-yy=-2y which is linear…

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: Given f(x, y, z) = √4x + 6y + 3z, find fz(x, y, z) = fy(x, y, z) = fz(x, y, z) =

A: The given function fx, y, z=4x+6y+3z. We have to find the values of fxx, y, z, fyx, y, z, fzx, y, z.

Q: Find the particular solution of the equation satisfying the given condit 3 TT sin(x) dx + sec(x) dy…

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Q: Write the sum without sigma notation and evaluate it. 3 π 25) Σ 4 sin k k=1

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Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 7, b) a sum not…

A: A pair of dice is rolled.

Q: Although the process of identifying the absolute max/min of a function is different depending on…

A: When we have to identify the absolute max/min depending on whether the domain open/close, we need to…

Q: lim (z,y) → (0,0) x³ +48x² + 8y² 6x² + y² Use DNE for does not exist, oo for infinity or -oo for…

A: To find the given limit exist or not.

Q: 2. Find the tangent line at the given point c(t) = (4t, In (t)); t = 1

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Q: Find a plane containing the point (2,5,-5) and the line Question Help: Video Submit Question Jump to…

A: Please see the below picture for detailed solution.

Q: Find the area of the shaded region. - 4x (3,15) 3

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Q: 6 5 4 3 2 1 779799 -3 -4 2 3 4 5 6 7 8 10 1 The graph above shows the base of an object. Compute the…

A: Solution: The Graph is made with a cylinder and cone.

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

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Q: Which of the limits is equivalent to the following definite integral? Se e² dr Choose 1 answer: B…

A: To determine the limits which is equivalent to the following definite integral.∫03ex dx

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A: Given that y varies inversely as the cube root of x.