Find the length of the are of the function x² = 4y from x = -3 to x = 3.

Q: € 4. If y=u² and u = x³ + 4 determine dx

A:

Q: Given: f(x) = 10-X g(x)=x² + 4x-2 Find and simplify (9°F)

A: Given query is to find indicated composite function.

Q: Find the area of the surface obtained by rotating the curve y=1+3x² from 0 to x = 9 about the…

A: Let's find area of surface obtained by given curve.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

A:

Q: Complete each of the following. a. Graph each function by making a table of values. b. Determine the…

A: We have to graph the following function.

Q: Let A be the set of students who live one km from school and let B be the set of students who walk…

A:

Q: If the radius of a cone increases at a rate of 36 inches per second and the height decreases 2 feet…

A: Given

Q: dw dw For the functions w= - 4x² - 2y2, x= cost, and y= sint, express as a function of t, both by…

A:

Q: Evaluate the equation for f Select one: a. 0.5 b. -1 Oc. 2 Gd. 1 dzdy

A: Let I=∫01∫yy21y2-x2dxdyLetI=∫01(I2)dy                                    (1)WhereI2=∫yy21y2-x2dxWe…

Q: Find the derivative of a. (e(sin2x))/[In(cos2x)]2

A: We have to find out derivative

Q: Below is the graph of y=x. Transform it to make it the graph of y=-x-4-2.

A: a) y=-x-4-2b) y=-2x-4

Q: = Assuming that y = - sec(xy). It will follow that y' Select one: True False y sec(xy) tan(xy) 1-x…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: please include let u du substitutions

A:

Q: Topic: Tangent Lines, Normal Lines, and Rates of Change

A:

Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

A: Given query is to find the domain and range of the function.

Q: 21 21 The two-dimensional Laplace equation = 0 describes the potentials and steady-state temperature…

A:

Q: 'SC x x x

A: ∫cot2(x)csc3(x) dxWe know that cot2(x)=csc2(x)-1=∫csc3(x)(csc2(x)-1)dx=∫(csc5(x)-csc3(x))dxWe know…

Q: Use the following information to complete parts a. and b. below. f(x) = 13 Inx, a = 4 a. Find the…

A:

Q: 6. Find the area of the region bounded by the curves y = x + 1, y = 9-x², x=-1, x = 2.

A:

Q: f cot x dx Select one: a. In sina+c + c + c + c O b. In sec x oc. In csc r od. In cos x

A: cotx = cosx/sinx

Q: Solve each of the following problems completely. Draw the complete figures for each question. 2.…

A:

Q: 14. Simplify: 1 csc²x O sin x 01 O tan x O cos x + 1 sec²x

A:

Q: Evaluate the integral: fe²* coshada Select one: a. ++C Ob. +C O c. 2¹+C -+0 Ⓒd.+²+C

A: Simplify it .. ∫ex(e2x/2 + 1/2)dx  ∫e3x/2 + ex/2dx e3x/6 + ex/2 + c  Option A is right.

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A:

Q: Evaluate the following integral. dx (225-x²) What substitution will be the most helpful for…

A: We have to determine integral

Q: Evaluate the integral. 8t 8 e S dt 1+ e 8t 8e 1+e 8t 8t dt =

A:

Q: Solve the initial value problem 2y" + y' - 10y = 0 y(0) = 0 y'(0) = 1

A: We have to solve the initial value problem.

Q: A lamina occupies the part of the disk æ² + y² ≤ 1 in the first quadrant and the density at each…

A:

Q: 0 Figure A y = x³ y = √√x X

A: Given

Q: Determine el valor de a € tal que: 8 et 12x = f -dx = e 2x a +1

A:

Q: Find the area bounded by the line y = x+2 and parabola y = x².

A: We can solve this as follows:

Q: Find the second derivative of f(t) = [(1+)¹ +1]¹

A:

Q: ROBLEM 1: True or False. You don't have to justify. O Let A and B be nxn matrices, then AB=BA. ) The…

A: Topic:-  calculus  Note :- as per our guideline if more than three subparts posted than only first…

Q: ل 13 y=√x 0 Figure A 10. Consider the region in Figure A. Its area may be found using [f(x) =…

A: First, finding the intersection of two curves.

Q: Subject: Integral

A:

Q: (2x²² +ex) dx + (x² + 1) = "² dy (x²-y) dx x dy

A:

Q: 3√3 dx √3 x² √√x² +9 2

A:

Q: Use the Rational Zeros Theorem to find all the zeros of P(x) = 2x4 + 5x³ − 3x² − 15x – 9.

A: We have to find out the zeros

Q: б хрх ] Ґ

A:

Q: Find the exact values of inverse trigonometric expressions for Parts a to c in radians. Sketch the…

A:

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A: First we rewrite the profit function in terms of t.Then differentiate p(t) with respect to t.

Q: Evaluate the definite integral. 16 (10y√y +9√y) dy 16 jo (10y√y +9√y) dy = (Simplify your answer.) 4

A:

Q: A parabola has an equation of y-32= 0. Compute for the surface area of the solid generated by…

A: Given: y=3x12 At y=0, x=0 The surface area of the surface of revolution formed by revolving the…

Q: Evaluate the integral of fx³dydx

A:

Q: Using Wallis formula, find the integral of the expression. Answer in 5 decimal places (example…

A: We will use Wallis integral formula to solve this question.

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x 2. f(x)=x²-3x³ + 3x²…

A:

Q: fx ax dx

A:

Q: Given cost and revenue functions and C(q) = 117q+44000 and R(q) = -3q² + 2700q, how many items must…

A:

Q: Given cost and price (demand) functions C(q) = 130q+47,900 and p(q) = -2.7q+800, what price should…

A: Given, cost function: C(q)=130q+47900 Demand function:p(q)=-2.7q+800

Q: 13. Given the triangle below, find the value of c to the nearest tenth. side c = units 33 b 3.4…

A: Explained below