Use a graph to determine whether the given function is continuous on its domain. [3 – x if x < 3 - X g(x) = lx + 3 if x > 3 continuous O discontinuous If it is not continuous on its domain, list the points of discontinuity. (If there is no such point, enter NONE.)

Q: ||P(t) × r"(t)|| Use the formula «(t) to find x(t). r(t) = t²i + t³j K(t):

A:

Q: E) Find the line's equation which passes through the points (2 , 5), (-3, 1)?

A:

Q: V. How many different ways can the letters of each word can be arranged? 34. CIRCUIT 8. PARALLEL…

A: Permutation

Q: sec2 x tan? x + sec x (sec² x + 1) dx sec x tan x (seс? х + 1)

A:

Q: 1.) Determine the largest interval over which the function flx) = \x+3 is continuous. 2x 2.)…

A: 1) To find the largest interval on which the function f(x)=x+3 is conitnous.

Q: r = 4 csc(0) – sec(0). Convert to an equation in rectangular coordinates. (Use symbolic notation and…

A:

Q: How did you get the expression for xtan^-1(x)? How did you relate it with the maclaurin series of…

A: Apologies for the inconvenience. Here is the correct solution.    Given that:…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: If y = 2u' and determine when x1. 2x-1

A:

Q: 3. Find the point(s) on the graph of the curve fle)-+3+ where the tangent is horizontal.

A: To find the points on the graph of the curve fx=x33+3x+4x, where the tangent is horizontal.

Q: Find the derivative of the function. g(t) = e−6/t4

A:

Q: Find the equation of the circle shown Ih

A: Three point  ( 0 , 4 ) , ( 0 , 2 ) and ( -2 , 0 )   equation of circle   From the graph  center ( h…

Q: a. Write the parametric equations of the line L passing through point A(-9,-7,-5) and perpendicular…

A:

Q: Direction: Differentiate each function with respect to x. 4) f(x)= 4x-5x-3 5) y= 3x 6)

A:

Q: Use sigma notation to write the sum. 7n 7n Σ I = 1

A: To use sigma to write the sum.7n6-7n7n+...+7nn6-7nn7n

Q: integral od pi/4 0 sin^5 θ dθ

A: A detailed solution is given below

Q: Evaluate the integral (2х — 8)dx - x2 – 6x + 18

A:

Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

Q: Find y if y= 3(x³ – 7x+2)5 +4x -2.

A: Topic = Derivative

Q: %234 #4 Detelmine whe ther the sories Ć 4"-3 4^_3^ converges or diverges. If it converges find its…

A:

Q: can you check up the answer? it is not right

A: I have rechecked the work using calculator. It is correct.  Using calculator I have got: limn→∞…

Q: 21. A group of 10 women and 6 men must select a four-person committee. How many committees are…

A: Let's find.

Q: (2y3 – x³)dx + 3xy?dy = 0; when x = 1, y = 1 Ans. 5x²y3 = x5 + 4

A:

Q: Evaluate the integral. 1 (4 + r)3 dr

A:

Q: A 20ft ladder is placed against a wall. If the top of the ladder is dropping at a rate of 5ft/min,…

A: given

Q: For the function S-22 + 3x if z <1 f(x) = | 2x + 2 if z 21' evaluate the limit lim f(x). (If a limit…

A:

Q: 1 7. (x dy – y dx) = 0 x² + y²

A:

Q: Find: d/dt (1/square root of 2t) A. square root of 2t/4t B. - 1/square root of 2t C. 1/2t square…

A:

Q: Evaluate the indefinite integral. 9x xp- x² – 4

A:

Q: A ball is thrown vertically upward from a point 112 ft above the ground with an initial velocity of…

A:

Q: d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1) -

A:

Q: (2а3 + 5x — 4) d

A:

Q: f'(8)= xcas (2x)

A: Function and it's derivatives

Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 1)²

A:

Q: etermine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A:

Q: Sx°Inxdx

A: Given query is to find the value of the integral.

Q: Evaluate the integral | 3t³ (t² + 4)5dt

A:

Q: Using a trigonometric substitution, the integral dz becomes: 2+25 (a) 25 (tan 0) (sec 0) de (b) 5 /…

A:

Q: y-axis Consider the graph shown to the right 4. lim f(x) X-axis 5. Evaluate lim f(x) X-3 6. lim f(x)…

A:

Q: Sketch the region enclosed by y = 7x and y = 3x". Find the area of the region.

A:

Q: | 3t³ (t² + 4)5dt

A:

Q: After we review on how to solve system of linear equations using algebraic methods (substitution,…

A:

Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) &amp; B(-3,-7)

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: We can solve this as follows:

Q: 5 | (2a3 + 5æ – 4) dæ

A:

Q: please kindly provide a clearer picture of the answer and solution, I cannot properly view it. thank…

A: Kindly refresh the page if you do not see the solution properly. I am sharing the image form of the…

Q: (x S+ 3x? - 4 ) dx 12

A:

Q: Evaluate the integral 5х — 2 dx (x + 3)2

A:

Q: In Exercises 1–8, find the length and direction (when defined) of u X v and v X u. 1. u = 2i – 2j –…

A: