3.x cos 5x dx 5. ( re'/2 dr

Q: S tan-1(bx) dx

A:

Q: An old tire is deflating initially at a rate of v(t) = \E + 2 where v(t) is its volume in in' at any...

A: To find out the instantaneous volume at 1 hour.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +...

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: (In x)²dx

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

Q: (Зл — 1)" 5n /n +1 n=1

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point (0,8a)...

A: I am attaching image so that you understand each and every step.

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

A:

Q: A chemical substance has a decay rate of 9.5% per day. The rate of change of an amount N of the chem...

A:

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

A:

Q: Find the limsup and liminf of the following sequence: sin a) an = n° n if n is odd п+1 b) an if n is...

A: a)an=nsin(nπ/2) b)an={n/(n+1) if n is odd             1/(n+1) if n is even} c)an=sin(nπ/3). Repost t...

Q: Find a formula for the nth term of the sequence. - 2, 1, 6, 13, 22, ... Determine the sequence's for...

A: We have to find the sequence's formula in terms of n. 

Q: xtan dx - y cos xdy = 0 a) Show that this equation is exact if not find identify the integration fac...

A: Let's find. 

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A ...

A:

Q: 5x3 dx. Consider the integral 4x4 +2 (a) Which of the following statements best describe the given i...

A: For part (a), option (b) is correct answer. For part (b), the given integral is Divergent.

Q: Question 15 Write a chain rule formula for the following derivative. for w = f(x, y, z); x = g(s, t)...

A:

Q: +oo (x – 1)" Consider the power series >- log n n=2 (a) Show that the resulting series when x = 0 is...

A:

Q: Determine whether the following problems converges or diverges. If it converges, compute the limit. ...

A:

Q: Find the area of the region between the curves

A:

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

A:

Q: Use the compound interest formula to determine the accumulated balance after the stated period. $500...

A:

Q: Use the compound interest formula to compute the balance in the following account after the stated p...

A:

Q: (d) There exists a relation U on A so that U is symmetric and antisymmetric, but U is not transitive...

A:

Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some tim...

A: topic - mean value theorem

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u. (v x w)| to determine t...

A:

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

A:

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

A:

Q: Find the vector component of v = (4, – 1,7) along b = (3, 6, –6) and the vector component of v ortho...

A: We can solve the given problem as follows:

Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their val...

A:

Q: Find the vector component of v = 2i – j+ 3k along b = 4i + 4j + 7k and the vector component of v ort...

A:

Q: eny x+9 dx dy e+y en8 Iny dy %3D en8 e [ e-e] dy eny en8 [ye- e° ] dy | ل ام مو ] en8 | ye- e° - e ]...

A: Let I=∫1ln(8)∫0ln(y)ex+ydxdyI=∫1ln(8)∫0ln(y)exeydxdyI=∫1ln(8)ey∫0ln(y)exdxdyI=∫1ln(8)eyex0ln(y)dyI=∫...

Q: Let a = ci + j and b = 3i + 4j. Findc so that the angle between a and b is . Round your answers to f...

A: We will use the formula of angle between two vectors to solve this question.

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: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 9) 3 v = 12' 3 O parallel O ...

A:

Q: Evaluate the integral. dx J x4+7 Inx) A In 14+7 In x| +C B In 14+7 In x| +C © O In +C |7+4 In x| D I...

A: On solving this we will get:- option (D) is correct

Q: Calculate the producers' surplus for the supply equation at the indicated unit price p. (Round your ...

A:

Q: Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate...

A:

Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

A:

Q: For the function f(x) x3/3 - 3/4 x2 - 27/2 x + 39 1. determine the coordinates of the turning oints...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal...

A:

Q: -2 V2x - x² dx

A: The given integral,       ∫022x-x2 dx

Q: 15.

A:

Q: Find the vector projy 2i - 2j - 4k, u = 5i - 12 k

A:

Q: The movement of a particle follows g(u), where g(u) h(u) and h(u) = u? + 8u + 15 and y(u) = u² + 2u ...

A:

Q: Calculate the producers' surplus (in dollars) for the supply equation at the indicated unit price p....

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: conditions for each equation: d²x 2 dx (a) + x = 1 dt F(0) = F'(0) = 0 %3D %3D dt2

A:

Q: Given arccos(r) = arccot(z²), solve for dz/dr

A: