Evaluate the integral. 3 if -2 < x< 0 f(x) dx where f(x) | 4 – x² if 0

Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: To evaluate the integral xe2" da using integration by parts, the best choices for u and dv are: u =…

A:

Q: 6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit…

A:

Q: Find all critical points of the function f(x) = x³ – x² – 54x + 10. (Use symbolic notation and…

A:

Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

A:

Q: Consider the angle shown below that has a radian measure of 0. A circle with a radius of 2.7 cm is…

A:

Q: Find y' given xe*y – x sin- y = In(xy).

A: Given,            xexy-xsin-1y=lnxyTo find : y'

Q: Determine the value of c for which 70 13n lim (1+ T 00

A:

Q: Formulate a linear programming problem that can be used to solve the following question. An airline…

A: We need to give constraint equation.

Q: Choose the integral that would find the area inside r = 3 sin 0 and outside r = 2- sin 0

A:

Q: Use f(x) = 4x - 5 and g(x) = 3 - x to evaluate the expression. (a) f(g(0))= (b) g(f(0))=

A: Given query is to find the value of indicated function.

Q: An object with an initial velocity of v(1) = 2 has an acceleration of a(t ) = %3D ( 2t – 1) What is…

A:

Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

A:

Q: Find the consumers' surplus at a price level of p= $160 for the price-demand equation below. p =…

A:

Q: Find the length of the minor axis of the equation 4x 2 + 3y 2 - 32x + 12y + 64 = 0. 2√3 4 2√(11)

A: Ellipse

Q: Determine whether the geometric series is convergent or divergent. If it converges, find its sum. 80…

A: Geometric Series : (3/4)0 + (3/4)1 + (3/4)2 + (3/4)3 + (3/4)4 + ........... 1 + 3/4 + 9/16 + 27/64 +…

Q: (5+9)4x - (xx) dg = o

A:

Q: am dA y² dx + x² dy = / / ( - əx ду for the given path. hC: rectangle with vertices (0, 0), (2, 0),…

A:

Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

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

Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: REPEAT

A:

Q: Solve the Laplace Transform of the given function 6e5t cos(2t) – e7t

A: Solved below

Q: For the following conditions, where "x= number of roses" and "y= number of daisies", determine…

A:

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.3 + 0.16t ft/s2.…

A:

Q: Fin volume of the object formed by rotating f(x)=1/x about the x-axis on the domain 1<x<infinity.…

A: We have to find the volume of the object.

Q: Question- Let R be the region bounded by x= y - 25, and x 1. Then draw the region and. evaluate the…

A:

Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

A:

Q: x Algebra In Exercises 19 and 20, for what values of x and y are the triangles congruent by HL? 20.…

A:

Q: 2x3 + 1 x3

A:

Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

A:

Q: 2-Jx-3 b) lim 7-х

A: b) Let I=limx→72-x-37-x

Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

A:

Q: Which of the following formula is used to get the the equation of the slope of a line tangent to a…

A: Given query is to find the correct option for the slope of the tangent.

Q: Differentiate the function. g(u) = 7u + V 5u

A:

Q: x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

A:

Q: The state of Alaska allows for the following sequence on license plates, 2 letters followed by 3…

A:

Q: Given the differential equation y'' – 5y' + 3y = – 4 sin(5t), y(0) = – 2, y'(0) = 1 | Apply the…

A: Given,  y"-5y'+3y=-4 sin(5t)

Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. {n² tan…

A: Here we have to check the convergence of the sequence.

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx xy-3x-8=…

A:

Q: 5. If x = 5cis(2.945)and y = cis( – 0.755) find xy³. Leave your answer in polar form. Note the…

A: If x=5 cis2.945 and y=cis-0.755, then to find xy3.

Q: (d) 10*+3 = 62r

A: Given,  10x+3=62x

Q: Find the radius of convergence for: (– 1)"r" Vn +8 72 1 Basic Funcs Trig

A: We have to find the radius of convergence in this question.

Q: FinD THE arza BOUNDED By THE CURVES : y° +y +Z %3D

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -54 -36

A: In this question we have to find integration by using triple integration.

Q: Describe the graph of the equation. r = 8 cos t i – 17 sin t j + k O An ellipse in the plane x = 1,…

A:

Q: dF Find given F(x) = (3s - 4) ds. %3D dx dF dx %3D

A:

Q: Find the distance between the skew lines: x = 5+ 6t, y = 2+ 3t, z = 8 – 3t z = 1+ 2t x = 9 – t, y =…

A: