1. I. lim f(x) = 1. 1116 II. lim f(x) = 2. 2416+ 2. I. f(-6) = 2. II. f(-6) is undefined. 3. I. lim f(x) = -1. 1-3 II. f(3) is undefined.

Q: Graph the function by setting the moving points correctly. Provide your answer below: -10 -5 (-3,0)…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: -1 'Cos'¹x { √(1-x²) } ]¹_dx og. { 1 + (sin (2x√(1-x²))} TT

A: Given data:- ∫cos-1x1-x2-1loge1+sin2x1-x2πdx

Q: An object is moving with v(t) = 4¹ and the position X(1) = 4. What is the position of the object at…

A:

Q: Is it possible for a function f to attain only positive values (that is, f(x) > 0 for all x) and…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + 8y' + 7y = 0, y(0) = 1,…

A: Let's solve initial value problem by using laplace transform.

Q: If k(x) 4 cos(x), then k'(x)

A:

Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

A:

Q: For numbers 24-30, consider f(x) = -x +8x³-18x² + 10. Read the following statements carefully. Each…

A:

Q: Solve the following equation for x. log, 81 = 4 O 20.25 9 324 0 3

A:

Q: = 24, c = 29, B = 46° 01 02 Oo

A: Topic:- trigonometry ratios in triangle

Q: Find the total change of f(x) between x = 1 and x = 4, when 1.25 0.75 0.25 -0.75 df 1 dx x2 =

A:

Q: cote √3)2sin0 + √2) = 0 - The solution set is {60°, 240, 225°, 315°} (30°, 210, 225°, 315°} O{45°,…

A:

Q: 17. On [1,2], f(x) has an absolute minimum value of 257 (A) (B) -58 (C) 18. f(x) has a relative…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: A region bounded by f(x) = √√√x + 2, y = 1, x = 4, and x = 0 is shown below. Find the volume of the…

A:

Q: Norma is running a race. Between time t = 0 min and t = 15 min, her speed is 4 miles an hour;…

A: Given speed of Nomra from 0 to 15 min is 4 miles per hour Speed of Norma from 15 to 30 min is 6…

Q: Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in…

A:

Q: Estimate the instantaneous rate of change given the following: f(x) =5 at the point (-3, — 2/1) x+5…

A:

Q: 2-Consider the function defined by the base i) Find dz (ii) Prove that x дz ?x - дz ду z =…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the derivative of the function. h(s) = (s³ - 6)² h'(s) =

A:

Q: Use an identity to write the expression as a single trigonometric function or as a single number. 2…

A:

Q: ds" Evaluate the given Laplace transform. (Write your answer as a function of s.) L{te-15t}

A:

Q: Find the 4th -degree Taylor polynomial centered at x = 0 for the function f(x)=√1+x. Use the…

A:

Q: Compute each of the following limits. alim √5x²-16 X4-4 2x²+x-1 a. lim x4-1 4x+4 4x²-6x-5 lim…

A:

Q: Use the Quotient Rule to find the derivative of the function. f'(x) = f(x) x X-5

A:

Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

A:

Q: What is the average value of f(x) between x = 0 and x = 2 for f(x) = 1.609 0.805 0.693 O 0 2 2x+1 ?

A:

Q: Find the exact value, in radians, of the expression arc cos ().

A: We will solve the required.

Q: f(x) = 2 x-6x-7 8-2

A:

Q: Q1. Find the derivative of the following functions. a) G(x) = √²+3d f et -dt et b). H(x) = plnx +²…

A:

Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. the measure of the…

A:

Q: ind the zeros and determine the multiplicity f(x) = (2x + 1)3 (9x2 – 6x + 1)

A: In general, given the function, f(x), its zeros can be found by setting the function to zero. The…

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

A:

Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: To find the curl for the vector field  at the given point.Fx, y, z=6xyzi+6yj+6zkPoint=6, 7, 6

Q: What is the integrating factor for the differential equation? dy dt + 3ty = ety ?(t) =   please show…

A:

Q: f(a+h)-f(x) The expression h and simplify the difference quotient. Find and simplify the difference…

A: The given function is f(x)=6x2-3x+6

Q: spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A:

Q: |2x+4| lim x->-2+ √x+2

A:

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A:

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

A:

Q: Find the exact value of COS 2x given that sin x III. 3 and is in quadrant

A:

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

A:

Q: Set up, but do not evaluate, the triple integrals needed to find the center of mass of the region in…

A:

Q: 1) f(x) = x5-x¹ + x² - x +² 2) f(x) = sin³x - e³x² + ln(1 + 5x²) 3) f(x)=√1-x² sin-¹ x 4) f(x)=√√x +…

A:

Q: A parabola can be drawn given a focus of (-4,-10) and a directrix of y = -2. Write the equation of…

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

Q: Use a sum or difference identity to find the exact value. sin 125° cos 65° - cos 125° sin 65°

A:

Q: Q5 a) If f(x) = ² (1 - 1²) e¹² dt, on what interval is f increasing? b). Find a function f and a…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Formula:

Q: Use two methods to find the area bounded by y=e-1, y = 2e-1 and the y-axis y = x-x 1

A: The area is bounded by y = x/(1-x) , y = e-1, y = 2e-1and y -axis. The region bounded by curves is…

Q: The doctor has ordered Librium 25mg IM. The vial is labeled Librium 100mg. The directions state to…

A: Given Quantity of Librium ordered = 25mg Vial labeled Librium = 10 mg Water to be mixed with 100 mg…