4. sec 4x tan 4x dx

Q: 2 2 3/2\2 x' + -14 - %3D 2

A: Given query is to write the equation in standard form.

Q: 240 2 s7 17(s-1)8

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5 y -6+

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Q: 64 8 If f is continuous and f(x) dx = 18, find xf(x²) dx.

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Q: Let a=2, b=50, c=1, d=8 and e=15 is given by the following function:

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: dw given w = ² – 2y + z² and a = cos (st), Use Chain Rule to find ds -2s Int and z = 8 - - Vi.

A: Given,             w=x2-2y+z2 , x=cosst , y=-2slnt , z=s-tTo find : Use chain rule to find ∂w∂s.

Q: velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 - 2t…

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Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x – 5y) %3D |

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Q: Dx) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and…

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Q: 6. Find the intervals on [0,2r)where f(0) = sin²(0) is concave upward/ concave downw %3D

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Q: Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) =…

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Q: f(x,y) = 25 - x^2 - y^2 at the point P(3, 4). Use the Partial Limit Dervatives

A: Given problem:- f(x,y) = 25 - x2 - y2 at the point P(3, 4). Use the Partial Limit Derivatives

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 4 1 lim t→+∞ \ 8t2 +9' 4t |(?, ?)

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Q: | (2x - y) dx + (x + 9y) dy. Ic Evaluate C: x-axis from (0, 0) to (0, -9) and (0, -9) to (5, -9)

A: We can solve as follows

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 - 8x + 20; [-1, 2]

A: The detailed solution is given below Thank you

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given that     D(x) = -3x/10 + 8     S(x) = x/5 + 3

Q: Let C1 be the curve with parametric equations x = cost, y = sint – t, where t e [0, 5]. (a) Find the…

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Q: 5 3 + s2-8 s2+ 3.

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Q: Some type of phenomenon occurs at x=0 for the function f(x)=cos x-x^2 sinx, f(0) is a(n) A. maximum…

A: Given the function is f(x) = cos x - x2 sin x

Q: Evaluate the integral 24 11) dx, by making the appropriate substitution: u = Ja* (2* – 11)*“dz =

A: ∫ un du =un+1n+1+C

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx xy-3x-8=…

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Q: Find an equation of the plane. The plane through the point (2, -8, -1) and parallel to the plane 7x…

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Q: Consider the angle shown below that has a radian measure of 0. A circle with a radius of 2.7 cm is…

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Q: (x(t), y(t)) = (2 cos(t), 1+ sin(t)). 2. Answer the following questions about the curve given…

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Q: Differentiate the following functions: i. v = 15/7(12/7+ 3t) (2x – 9) f(x) = x + 4 ii. iii. y =…

A: We can solve this as follows:

Q: Find the particular solution y = f(x) that satisfies the given differential equation and initial…

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Q: 6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit…

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Q: Find the radius of convergence for: (– 1)"r" Vn +8 72 1 Basic Funcs Trig

A: We have to find the radius of convergence in this question.

Q: dy Suppose 12e3t and y(0) = 5. || dt What is y(2)? O 1505.7 O 1614.7 O 1635.7 O 1714.7

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Q: Find an equation of the plane. The plane through the points (2, –1, 3), (5, 3, 6), and (-3, -3, -3)

A: We are asked to find the equation of the plane

Q: Evaluate the definite integral. e14t i + e¬1j +t k )dt O el4 (e-- – 1) j + k i+ 14 (el4 – 1) i- (e -…

A: Evaluate the definite integral

Q: dy 5. Solve the differential equation = 7xy3 if y = 0.5 when x = 2. dx

A: Given query is to find the solution of the differential equation.

Q: An airplane takes off from an airport at sea level and its altitude (in feet) at time t (in seconds)…

A: We have to find rate of climb of airplane at t=180 sec.

Q: (c) in the tank to a height of 1 m above its top. Give a definite integral that computes the total…

A: answer is in next step

Q: Suppose that f is a continuous function such that | f(z) dz =-12. Find 2i (r") dz.

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Q: Use Green's Theorem to evaluate the line integral (y – x)dx + (2x - y)dy for the given path. C: x =…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: Find the equation of the tangent line to the curve y 3 sec z 6 cos z at the point The !! equation of…

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Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

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Q: Convert the point from spherical coordinates to rectangular coordinates. (2플) (х, у, 2) -

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Q: Find the solution of the following IVP using Laplace transforms given that f(0)=1 and f (0)=2: d…

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Q: Ella is building a chicken coop. The area of the chicken coop is 40 square feet. Each chicken needs…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x³ - 5y) |

A: topic - implicit differentiation

Q: Find a power series representation for the function. (Center your power series representation at x =…

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Q: An object with an initial position of x(0) = 5 has a velocity of v(t) = sin 2t. %3D %3D What is its…

A: Given query is to find the position of the object at π.

Q: 9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2, 1).…

A: We have to find the equation of the tangent.

Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

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Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: 6x + 10 if a -2 4. first third second

A: Explanation of the answer is as follows