Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of functions in parentheses. For example, sin (2x). |(211-3sin -3 sin(x) dx = ab sin (a) 8 a B

Q: What are the polar coordinates of the point shown in the graph below? Answer with the standard polar…

A: Given query is to find polar coordinates of the point.

Q: USE IMPLICIT DIFFERENTIATION TO FIND dy/dx. WITH THE GIVEN EQ’N: y^5+x^2 y^3 = 2 +x^2 y.

A: The given equation is y5+x2y3=2+x2y

Q: derivative and determine its range. in (a). Sketch the graph of the function using the first of is…

A:

Q: Determine if the limit 3x + 1 xxx²-x+5 exists, and if it does, find its value. lim 1. limit doesn't…

A:

Q: π/3 -π/6 [(7 se 1) k] dr sec t tan t)i + (8 tan t)j + (3 sint cost)

A:

Q: 105 105 Suppose that a₁ = -7 and b₁ = -30. Compute the sum. i=1 i=1 105 Σ (19a; - 17b;) i=1

A:

Q: Find the magnitude of the cross product A x B for the vectors A = 3.0 + 4.0j and B = 21 Drawing a…

A:

Q: S e5x e5x + 3 dx

A: Given query is to find the integral.

Q: 214 (a) Estimate the area under the graph of the function ƒ (z) — _—_—__ from 2 – 0 to z – 1 using a…

A: Solve the following

Q: Find all solutions of the equation in the interval [0, 2). cos 0= -5/7 If there is more than one…

A: We have to find the solutions in the given interval.

Q: Use a suitable change of variables (i.e., substitution) to evaluate the following integral. Hint:…

A: First I have made some change in the integrand by using trigonometric identity and then by suitable…

Q: Σ n=1 h + 1 2² η

A:

Q: Determine each of the following limits using any technique, 3x-2x x-0 7x-4x b. lim (In(x)) a. lim c.…

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

Q: . Find the intervals on which f is increasing and the intervals on which f is decreasing, 1(z) = -1…

A: To determine the interval where the function increases or decreases

Q: 3. Find the area of the shaded region. y=6-x² -2 4 2 -2 -4+ H 2 y = x

A: Here is the solution:

Q: Evaluate the following integral in cylindrical coordinates. 4 √2 √4-x² ss sex²-y² dy dx dz 00X

A:

Q: Find (g.f)(x) if f(x) = 4x2 + 2x + 8, and g(x) = 2x - 6 A 8x² + 4x + 22 B) 4x² + 4x + 10 C) 4x² + 2x…

A: Solve

Q: y 10 40

A: The given graph is

Q: Find the area of the region between the graph of y = x² – 12 and y - = 3x - 8.

A:

Q: 0 1 2 A drone flies in a straight line with a positive velocity v(t), in miles per hour, at time t…

A: Please see the below picture for detailed solution.

Q: A ball is thrown upward from a height of 2 m at an initial speed of 40 m/s. Acceleration resulting…

A: Let's find velocity and height function.

Q: Calculate the line integral F F. dr, where F = (3z — 1, -y — 2, 2x) and C is the boundary of a…

A:

Q: Find an equation for the tangent line to f(x) = 2x³ - 6x² + 8x - 1 at x = 2. y = 7(x - 2) Oy=7x…

A:

Q: Given that Find 1 S₁ flxdx=-11 and S = f(x) dx = 10 3 S₁²³ fix dx =

A:

Q: SUPPOSE THAT A TUMOR IN A PERSON'S BODY IS SPHERICAL IN SHAPE. IF WHEN THE RADIUS OF THE TUMOR IS…

A: To determine the rate of increase of the volume of the tumor.

Q: Find the minimum and maximum of f(x, y, z) = x² + y² + z² subject to two constraints, x + 2y + z = 8…

A: We have to find the maximum and minimum of given function.

Q: formula Use the appropriate compound interest to find the amount that will be in each account, given…

A:

Q: Find the Taylor series, centered at c = 3, for the function 1 1 - x² f(x) = (-1)^(4n-3) 8hn! The…

A:

Q: Solve the system for x: x+y+z=2 x-y + 3z = 8 5x+y+z=14 A B X = X = 12 1 18 3 5 141 11 1 1-13 51 1 11…

A:

Q: Find the area of the surface. The part of the surface z = 7 + 5x + 3y2 that lies above the triangle…

A:

Q: between the curve of the function f(x) = 2x and the x-axis over the interval [-3, 3].

A:

Q: A What is the asymptate. graph of the function? [y=x+1/ B The graph of the function interrupts its…

A: We need to find intercepts and find how does function approach.

Q: If the graph of y = mx3 + nx2 will have a point of inflection at (1, 2), what is the product of m…

A:

Q: east one real value of x? =x² +1 لاح * 1T for all real values of c. h(x) = |x| d. j(x)=x²-3x…

A: Function is differentiable everywhere on R if it's derivative is defined everywhere on R.

Q: = L 3t dt. Then g' (2) equals Let g(x)= (Your answer should be a number.)

A: ∫xndx=xn+1n+1+cg(x)=∫x243tdt=3∫x24tdtdxndx=nxn-1

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx B) Write the equation for the…

A:

Q: X 1+√x 8.) f(x) = -

A:

Q: d. 3 +e=tan(x-y)

A:

Q: Approximate the area under the curve graphed below from x = approximation with 5 subdivisions. 3 2 1…

A:

Q: The graph of the DERIVATIVE of f(x) is below: 6 -6 -5 -4 -3 -2 -1 54 4 3 2 1 7 -2 -34 14 -5 -6 -7-…

A:

Q: need the stretching factor and asymptotes of the following p(x)=tan(x-Pi/3)

A:

Q: Using x-axis, (b) y-axis, or (c) the origin. (a) Is the graph symmetric with respect to the x-axis?…

A:

Q: = [²¹] and B = [₁³], 79 47 If A = A [7.4 11 13 find-2A + 4B.

A: given that  A=2-179    and    B=5-347 then we have to find  -2A+4B now ,     -2A=-22-179 =…

Q: 2t Express x = e ²t, y = 3e¹t in the form y = f(x) by eliminating the parameter. y =

A:

Q: Find the net signed area between the curve of the function f(x) = x³ and the x-axis over the…

A:

Q: Question For the point plotted on the polar graph below, which of following is a correct set of two…

A: For the point plotted on the polar graph below, to determine the correct setof two polar ccordinates…

Q: 5x 8x Sketch the region enclosed by y = e³, y = e³, and x = 1. Find the area of the region. Give the…

A:

Q: Question: Find the derivative of 25 cos(sin² (tanx)) Solution: d dx (25 cos (sin²(tan x))) 11 50…

A:

Q: The profit that the vendor makes per day by selling x pretzels is given by the function P(x) =…

A:

Q: [3] Verify the following. [² (x² (x2 + 2x) dx = lim n- 2 Σταχ i=1

A: The given integral is ∫25 x2+2xdx