Question 1 A puck of soap makes a perfect cylinder It is submerged in water and begins to dissolve, losing 2em every hour f hs height is getting cm less each hour what is the rate of change of the soap's radus when it has height s cm and radius 12 cm? Remember the volume of a cylinder is yrh For the toolbar. press ALT-F10 (PO or ALT+FN+F10 (Mac) BIVS Paragraph 10pt Arial 出田回 19 !!

Q: A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of 5...

A: We need to find average and instantaneous velocity. 

Q: 2xy cos(x^2) - 2xy + 1]dx + [sin (x^2) - x^2]dy = 0

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get rem...

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A:

Q: Handwritten

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A:

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to...

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: (3.x (За — 1)" 5" Vn +1 n=1

A:

Q: (2y? + 2y + 4x²)dx +(2xy +x)dy = 0; when x =- 1 and y = 0 %3D

A: Let's find. 

Q: Determine the set of points satisfying the condition described by |z – 3| + |z + 3| = 10 Then expres...

A:

Q: 5: Solve the following differential equation, seo de 1 dx %3D 1 ,x(1/2) = 3 x2 csc e

A:

Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identif y the u and find du. 1. fa cos² 2t dt 4...

A: 1). Given; I=∫cos22tdt  ...1   We know that; The trigonometric identity: cos2x=2cos2x-1 And ∫11+x2dx...

Q: 2 lim (x + 1) - (х* + ) x → 0

A:

Q: cos-1(2 x2)

A:

Q: 45-48 Find the exact length of the polar curve. 48.r =2(1+cos 0)

A:

Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of...

A:

Q: 9. In(2x + 1) dx

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

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. Vn (a) (-1...

A:

Q: The limit of a constant function is always zero. * TRUE FALSE

A: topic - limits

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A:

Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

Q: For each of the numbers a, b, c, d, e, r, s, and t, state whether the function whose graph is shc ni...

A:

Q: A 13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides av wall?...

A: length of ladder l=13 ft Let x be the horizontal distance from the wall to the bottom of the ladder....

Q: 1. f sin³ 4xcos³4xdz

A: To evaluate the given integral.

Q: Se csc*(5x)cot*(5x)dx .4

A: u=5xdx=du5I=15∫ csc4u cot4u duI=15∫ cot4u csc2u (cot2u+1) ducot u =t-csc2u du=dtI=-15∫ t4t2+1 dt

Q: 1 Evaluate lim(cos0)1-cose

A:   It is given that, limθ→0cosθ11-cosθ. Let y=cosθ11-cosθ.   Take log both sides the above equation. ...

Q: A lighthouse is located 1500 feet away from a straight beach. The beam of light coming from this lig...

A: Light beam

Q: 4. (a) Estimate the area under the graph of f(x)=1/x from x=1 to x 5 using four approximating rectan...

A: Here is the solution of the given problem. Area estimation by upper sum and lower sum.

Q: d²q (c) dt2 dq = t2 + 2t F(0) = 4 F'(0) = -2 %3D %3D dt

A:

Q: A manufacturer has a steady annual demand for 9,600 cases of sugar. It costs $10 to store 1 case for...

A: Find your answer below 

Q: 6x(a3x*-1) dx 4.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

A:

Q: L(2x² – S,(2x2 - 4x + 5) dx

A:

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. 2 - 5n4 an...

A: Solve the following

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: planes - parametric equation

Q: Solve using logarithmic differentiation.

A: We need to find differentiation.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: FInd the Laplace transform of a^t

A: We will formula for integration by part.    

Q: f(x, y) = x2 + Sxy + y2 O f(8,0) = 64, local minimum; f(0, 8) = 64, local minimum f(0,0) = 0, saddle...

A:

Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A:

Q: Question 13 Solve the problem. Find parametric equations for the normal line to the surface x² + 2xy...

A: Find parametric equations for the normal line to the surface x2 + 2xyz + y2 = 4z2 at the point (1, 1...

Q: e^-3(t-3)-e^-3(t-5)=?

A: Solution is given below:

Q: 4. (2y cos x + sintx) dx sinx dy 5. y' = 1 + 3ytanx %3D

A:

Q: Find fx, fy, and fz. f(x, y, z) = In (xy) Z fx = z ln: fy=z In :f, = In (xy) fx :수:fz= In (xy) fx fy...

A:

Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

A:

Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

A: