Find dz/dr if z as a two variables function in r and y is defined implicitly by y3 + x22 + r sin r 4+ cos(yz2).

Q: For the following sequence solve A to C , explain all questions. an= 1/5+3^n A. What’s the limit? B.…

A:

Q: a. Use the substitution u = e and partial fraction decomposition to derive the following integration…

A:

Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = 11 cos(3t)i+ 11 sin(3t)j+ 7tk…

A:

Q: Express the given parametric equations of a line using bracket notation and also using i, j. k…

A: Let's find.

Q: (x³ + 4, if x 2] Consider the function f(x) = Find the value of D such that f(x) is continuous at x…

A:

Q: 3) Which type of quadric surface listed in Table 2 below is 4x² + y² + 4z² – 4y – 24z + 36 = 0?

A:

Q: An environmental landscaping company wishes to run a pipeline from a pumping platform (R) located…

A:

Q: y" tuy=3(sct

A:

Q: Determine whether the series is convergent, absolutely convergent, conditionally convergent, or…

A:

Q: If the equation of motion of a particle is given by s = A cos(@t + 6), the particle is said to…

A: See below the answer and explanation

Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

A:

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A: Given problem:- Use a double integral in polar coordinates to find the volume V of the solid bounded…

Q: ders of integration. Use the more convenient order to evaluate the integral over the plane dA unded…

A:

Q: 1. Perform the following integration: S 3sec?x dx - 2x+3 b. а. S(1+) dx с.

A:

Q: Sketch the region in the plane consisting of points whose polar coordinates satsfy the given condi…

A: formula  r2=x2+y2   condition  1<r≤3   for r = 1 r2=x2+y2x2+y2=1 which is equation of circle with…

Q: Jim is flying two kites. He has 99 feet of string out to one kite and 110 feet out to the other…

A:

Q: Set up a double integral that represents the area of the surface given by z = f(x, y) that lies…

A:

Q: Find f such that f'(x)= 6x-5, f(2) = 0. f(x) =|

A:

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Given:

Q: 2. In each part, match the contour plot with one of the surfaces in the accompanying figure by…

A:

Q: (1+2lnx) dx

A:

Q: Determine the area outside the black graph given by r(0)=1+7cose and inside the red graph given by…

A:

Q: The Taylor polynomial of degree 100 for the function fabout x = 3 is given by P (x) = (x – 3)² –…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use the information about values of the functions and their derivatives to calculate H'(5), where…

A:

Q: 4. f(x) = Vx , g(x) = Vx + 1 %3D %3D V4-x2 5. f(x) g(x) = |x| %3D V4-x

A: 4. Given : f(x) = ³√x = (x)1/3 and g(x) = √(x + 1) = (x + 1)1/2 fog = f[g(x)] fog = f[(x + 1)1/2]…

Q: Solve. y" + 36y = u;(t), y(0) = y'(0) = 0 %3D S f(t) 9(t) for t > 5* for t < 5 The solution can be…

A:

Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

A:

Q: Convert the point(r,o) from polar to nectangular COordinates ( Ca,s

A:

Q: Bx, if x 2 S Suppose that v(x) = Find a value of B such that the function v(x) is continu- ous for…

A: The given function  v(x)=Bx, if x≤25, if x&gt;2 To find the value of V such that the function v(x)…

Q: Find the critical points of the function 2 8 f(x) = 11/4 11 Use a comma to separate multiple…

A:

Q: -3x cos (5x)dx

A:

Q: S. Elli gives her son Paul 1¢ on his first birthday, 2¢ on his second birthday, 4¢ on his third…

A: Here, the amount doubles on every birthday starting from 1c. That is we have the sequence:…

Q: dz (a) Find of the following functions: dx 2+1 +cos y? = sin(y'+ 22z) COS 7 ZX %3D

A: Solving

Q: 5-e* 2x

A:

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

A:

Q: Sketch the region R whose area is given by the iterated integral. dx dy 3 3- 2- 2- 1- 3- 3 2 3…

A:

Q: if f(x) dx=18 and F(X)dx=3.8 find 5 S F(x) dx

A:

Q: f(t) = t.e-8t + 4 t.e-3.cos(2t) + (t².e-2t) ,t>0

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 5- 5- 3 2- 1 3…

A:

Q: Consider the series -3+ 5" n=0 To determine if this series converges, you could use O Divergence…

A: To test the convergence of the series

Q: X/2

A: We have to find ∫3x2 dx.

Q: Use a calculator to find an approximation for 2.15 2.1528 ... 2.1528 =O %3D (Round to the nearest…

A: Solution: Given data, 2.152.8=?

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given:  To find: Area of the triangle.

Q: Question Two particles move along a straight line. The first particle, Particle A, travels with a…

A: To solve the following problem

Q: A tank of water in the shape of a cone is leaking water at a constant rate of 2 ft'/hour. The base…

A: Given; dvdt=-2 ft3/four, h=6ft Let, the radius of the tank is r and the height of the tank is h at…

Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E 1 as a telescoping series and find its…

A: The summation of 1/[n(n+1)] , n from 7 to infinity.

Q: Find the directional derivative of f(x, y) 12x at P(4,0) in the x + y direction of Q(1,–1). NOTE:…

A:

Q: 2nt H = 12+3 sin 365

A:

Q: Approximate the area under the curve y = x from r = 2 to a = 5 using a Right Endpoint approximation…

A:

Q:

A: We have to check convergent of series