dy Find for dx 2. y = x(e*) = x(e*)

Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below

Q: Your are driving away from New Orleans. Your distance (in miles) away from New Orleans x hours after…

A: We have to find the value of x such that the distance form home is farthest.

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

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: t cos t?dt can best be evaluated by: A Power Formula B) None (c) Trigonometric Transformation D…

A: We have to find out

Q: 5n

A:

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

A:

Q: Question 12 of 12 -/1 E iew Policies urrent Attempt in Progress In a time of t seconds, a particle…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A:

Q: Convert x = 6 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation and…

A: Given: x=6

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a question. This question…

Q: Which of the following is an antiderivative of f (x) = 52x? O (In 5) 52z – 1 52z +3 In 5 52 - 2 In 5…

A: we have to find anti derivative.

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: Use the function f and the given real number a to find (f ¯-)'(a). (Hint: See Example 5. If an…

A: Given:      f(x) = ( x+7) / (x+2)

Q: y" + y' – 2y = 2t, y(0) = 0, y'(0) = 1

A:

Q: Determine whether the following series are absolutely canvergen t, Conditionally convergent,…

A:

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

A: The understanding of radioactive decay is required. The explanation part is given below.

Q: Q(t) = Q0: 2-(t/140) If the amount of polonium left after 560 days is 80 mg, what was the initial…

A:

Q: Find two positive numbers whose product is 750 and for which the sum of one and 10 times the other…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: Solve the following

Q: A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole…

A:

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

A:

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve).…

A:

Q: ||r'(t) x r" (t)|| Use the formula k(t) to find k(t). r(t) = eti+e*j 42 est K(t) %3D (36 el2t +…

A:

Q: Find V x (V x F) if F(x, y, z) = xyj+2xyz k. V x (V × F)

A:

Q: n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

A: We will use Ratio-Test to determine converge.

Q: Find the value of n in the following definite integral. 4x° dx = 1 Answer:

A:

Q: L (7+ 4)(x + 3)dæ = 74/3 %3D Select one: O True O False

A: The given integral,       ∫-11x+4x+3dx=743

Q: Evaluate the line integral |-ydx + xdy along the curve C : y² = 24x from (24, 24) to (0, 0).

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = -x2 -…

A:

Q: 8. A lamina occupies the top half of the disk x² +y? <4. The density at any point on the lamina is…

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Q: 3. Graph the function f(x) = 1 and estimate the area for -2 <x < 2 1+ x2

A:

Q: A box with a square base and open top must have a volume of 415292 cm. We wish to find the…

A: topic - application of derivatives

Q: x³dx is equivalent to x² – 4 Using trigonometric substitution , A sec+0 do B) None © 8 C sin³e de D…

A: The given integral,        ∫x3dxx2-4

Q: Describe the graph of the equation. r = 15 sin 18t i + 15 cos 18t j O It is an ellipse in the…

A:

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: 21. Find af and of if f(x,4)= 3x" +2xy+ Sy , x= 4v? + Bn", and u 2v-w? Vour %3D 4= 2v-w? Vour av…

A: We have to check

Q: Find the value of n in the following definite integral. " 4x° dæ = 1 Answer: 1

A:

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: Given,initial kangaroo number, n(0) = 200number of kangaroo after 3 years, n(3) =500carrying…

Q: Find the volume of the solid that is bounded by the surfaces z = 152 - x2 - y?, z = 0, x = 0, y = 0…

A:

Q: Use the given conditions to write an equation for the line in point-slope form and in…

A: we have the parallel line equation y=-5x+4 comparing with y=mx+c m=-5 is the slope point slope form…

Q: du for the integral dx du un dx Identify u and dx. | (5 – 6x?)5(-12x) dx u = du dx

A:

Q: Ise the function f and the given real number a to find (f-)'(a). (Hint: See Example 5. If an answer…

A: We have to find out the derivative

Q: 5. A boater wishes to cross a canal that is 3 km wide. He wants to land 2 km upstream from his…

A: We need to find direction and time.

Q: Use a local linear approximation of the function f(x) = Vr cos[(V2x)] approximate v3.98…

A:

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

A:

Q: L3a²dx = 65 %3D Select one: O True O False

A: We have to find out integration

Q: Verify Green's Theorem by evaluating both integrals y2 dx + x² dy = dA ду for the given path. C:…

A: In this question we can verify the Green's Theorem . i.e, ∫C M dx +Ndy = ∫∫R ∂N∂x-∂M∂ydA .

Q: Ty csc?y dy is equal to A —у сoty — coty dy - Scon dy у сoty coty dy с) -у соfу+ coty dy D) None E у…

A: Integrate by parts.

Q: In t+1-2 dt, if we let V Vt+1-2, then dt is equal to 4x(x²+ 2)dx B (4x³+2)dx None D 2(x²+2)dx E…

A: To find out the dt.

Q: Find the volume of the solid that is bounded by the surfaces z = 82 - x2 - y2, z = 0, x = 0, y = 0…

A: