A curve with polar equation r = represents a line. Write this line in the given Cartesian form. y = 57/7x+36/7 Note: Your answer should be a function of x. 36 7 sin 0 + 57 cos 0

Q: Q3. Evaluate : IL (2) * dy dx

A:

Q: Evaluate the limit: lim (x - Inx)* x→0+

A: Using limit definition

Q: S 36x2+25 - dx

A:

Q: Let f(x) = e2sinx. Use the local linear approximation of fat x = 0 to approximate e²

A:

Q: 10. The sale price of a book after a 25% discount is $40. What was its original price? $46.67 O…

A:

Q: 1/2 lim (3* + x) x→+∞

A: Given :limx→∞3x+x1x

Q: Find the area in square units bounded by the following: (Show graph and detailed solution. Box final…

A: Here, the area bounded by the curves: y=x3+1 and x-axis  with the limits x=0 and x=3 is:

Q: 1 So 2t en + e-2t ezt - e-at dt

A:

Q: Evaluate the limits using the L'Hopital's Rule. lim (tan x) (sin x-1) x+2+

A:

Q: Using the Ring or Washer method, what will be the equation of the volume of the solid formed when…

A:

Q: 2. 0 sec³ x tan x √2+ sec x dx

A:

Q: 7. y' = e² + 2y; y(0) = 2

A: We need to solve D.E. As per Bartleby's guidelines we can solve one question from multiple question.…

Q: The integral of 3^4x dx is equal to * O 4^4x / In3 + C O 3^4x/In12 + C O 3^4x / In27 + C O 3^4x /…

A: SOLUTION-

Q: Given two functions F and G, we say that F is an antiderivative of G when O F'(x) = G(x) for all a…

A: Above two questions are answered.

Q: Perform the following integration. 1. (sinhr) (coth² x + csch³ x) dx sec³ x tan x 2. S dx √2 + sec x…

A:

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

A: The equation of the curves are: C1: y = x2 ⇒ x = y                 for first quadrantC2: x = y2 To…

Q: = t² - 6t + 8, The velocity function of a particle moving along a horizontal line is given by v(t)…

A: Velocity and acceleration

Q: The function f(x), which is defined for a ≤ x ≤ b, has the following behavior: f'(x) 0. Choose the…

A: Follow the procedure given below.

Q: If F(x) a. F'(1) L √4t - t² dt, evaluate the following: x² b. F(2), by interpreting F(2) as an area

A:

Q: 3.2 Differentiate 3.2.1 y= x¹ tan 3x. 3.2.2_y=ln(2x²+1). e +1 3.2.3 y=- -1 the following with…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Daniel saved $260 at the end of every month for 4 years in his bank account that earned 5.60%…

A:

Q: Set-up the iterated double integral in polar coordinates that gives the volume id enclosed by the…

A:

Q: Use the definition of continuity and the properties of limits to show that the function g is…

A: This question can be solved using the concept of continuity of a function at a given point.

Q: a. A cylindrical container that is open at the top is to be made from two kinds of material. The…

A: note : as per our company guidelines , we support one question in one request (because these two…

Q: 3 foa 0 (|3x − 1| + |3* – 3|) dx

A: Use integral concept

Q: 1 sinh x cosh3 x √9-cosh² x dx

A:

Q: 3. S. 3*sech³ (3³) 1+tanh (3*) -dx

A:

Q: The choice of u and du is subject to trial and error. Identify the appropriate choice of u and du…

A:

Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

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

Q: Find the average value of f(x) = -3√x + 5x over the interval [0, 3]. Submit an exact answer using…

A: This question can be solved using the concept of average value of function over an interval.

Q: I. Evaluate the following limits 2. lim (3 + x)² x → +∞o

A: Given

Q: -2 S₁² S₁² (²x²y^² + 2 (2x²y-² + 2y) dy dx 1 1

A:

Q: Perform the integration. TT 3 sec³x tan x dx 2 + sec x 0

A:

Q: Determine the values of r for which the differential equation ty"-5ty' + 5y = 0 has solutions of the…

A:

Q: Question 2 A piecewise function is defined as f(t) = {2t²-4 3 0 ≤t<5 t25 i. Sketch the graph of…

A: Explanation of the answer is as follows

Q: c4 So So (6x² +9y²) dx dy

A:

Q: y s 5 4 -2 -2 The diagram shows the shaded region bounded by the curves y = x² + 2, y = 4 - x, y = x…

A:

Q: Evaluate the integral: 3 So |2 - 2x| dx

A: Given,∫032-2xdx

Q: Answer

A:

Q: -2 Given f(x) = ²√4 - t² dt, evaluate the following. -2 (i) f (-1) (ii) f(0), by interpreting f (0)…

A:

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A:

Q: Using dA = dx dy, set-up the double integral that will find the volume of a solid bounded by z = 1…

A: We need to setup integral.

Q: Find the area bounded by the curve y = coshx and the x-axis from x = 0 to x = 1. a. 11.75 sq. units…

A:

Q: VI. Determine the instantaneous rate of change of the functio: sin (³) f(x) = V² siz r³ 1 + √t at x…

A:

Q: S t /1+3t - dt

A:

Q: The equation of a tangent line at a point (x₁, f (x₁)) where limh→0 f(x₁+h)-f(x₁) h = +∞ is x = x1.…

A:

Q: Volume of Solid of Revolution Submit a pdf file of your handwritten solutions to the problem.…

A:

Q: (3) Prove the Generalized Triangle Inequality: if a1, 42, ..., are R then an + Q2 + · · · + @ < 41 +…

A: Given

Q: Perform the integration. (sinh x)(coth→ x + csch3x) dx

A: A detailed solution is given below.

Q: Evaluate the limits using the L'Hopital's lim (tan x) (sin x-1) x+2+

A: