if (2,0,0)f(x, y) = f(0,0) then f(x, y) is continuous at (0,0) lim

Q: The population of a southern city follows the exponential law. Use this information to answer parts…

A:

Q: Bacteria are growing at a rate such that 1 gram becomes 4 grams after 8 hours. The walue of the…

A:

Q: The triple integral fff f(x, y, z)dV, given that D= [-2, 2] × [0, 6] x [1, 4] is equal to: Select…

A:

Q: Obtain the general solution. (EXACT EQUATIONS) 2. y²dx = (xy-x²)dy

A: The given differential equation is:y2 dx=xy-x2dy

Q: Complete the following steps for the given function, interval, and value of n a. Sketch the graph of…

A: We have to find the midpoint Reimann sum.

Q: Evaluate the integral. 16 S 4 9 cosh (√x) √√x dx

A:

Q: Question 6 and B Consider the function f(x) 7x + 7x-1. For this function there are four important…

A:

Q: Express the following sums using sigma notation. a. 5+6+7+8+9 b. C. 1³ +2³+3³ +4³ 3 4+8+12+16+20+24

A: As per the company guideliens we are supposed to answer only first three subparts.Kindly repost the…

Q: Evaluate the integral S 2 sin¯1(x/4)) ² dx √16-x²

A:

Q: Vrite an equation for the parabola shown. he equation of the parabola is . Simplify your answer.)…

A: Given query is to find the equation of the parabola.

Q: Use the power series for f(x)=√√5+x to estimate √5.07 correct to four decimal places.

A:

Q: Find (a) vxw, (b) wxv, (c) vxv, and (d) wxw. v=3i - 2j+ k, w=i-3j - 3k (a) vxw = (Type your answer…

A:

Q: Write the expression in rectangular form, x + yi, and in exponential form, rei (-1-i)7 The…

A:

Q: In (2x) nd the derivative of y with respect to x if y = S 0 || sin (6e¹)

A: Given query is to find derivative.

Q: Textbook Consider the function f(x) = 4x³ 4x on the interval [-4, 4]. Find the average or mean slope…

A:

Q: i dont understand the answer, can you right more

A: The answer is in step 2.

Q: Use integration by parts to evaluate the integral: fox cos(x) dx

A:

Q: 3. Evaluate the limit: lim(x²-3x + 1) x→3

A:

Q: Find the centroid of the region lying underneath the graph of the function f(x)=√ over the interval…

A: We need to find centroid.

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A:

Q: 7) Find a polynomial with real coefficients of degree 4 that -1, 7 and 4i as roots.

A:

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A:

Q: Find the curl of the vector field F = . curl F = The 3+ k

A: we need to find out the curl of function

Q: 5+8+11+14+ +47 5+8+11+14+...+47 = ΣΠ k = 1

A:

Q: In which limits below can we use L'Hospital's Rule? ex Olim x → ∞ □ lim □ lim X Olim 1 x 0 sin(7x) x…

A: We have given limits L'Hospital's rule is used for indeterminate form 00 or ∞∞ (i) limx→∞exx =…

Q: 5) Solve 3 x-6 x+2 5 IV and give your answer in interval notation.

A: To solve the following inequality.3x-6≥5x+2

Q: Find the unit vector having the same direction as v. 3i+ 6j - 2k u = ai + bj + ck where ... a = b=…

A: Concept let a vector b then unit vector in the direction b is  u = b| b | Given b = 3i + 6j -2k

Q: 1. Sketch the graph of the following function. Identify the domain and range. f(x)=√x-2 Domain:…

A:

Q: (3-x² if x ≤ 1 if x > 1 Theorem is satisfied. Then find all values of c 2. For the function f(x) = -…

A:

Q: Given the equation below, find dy da y= 11 = dy dx Now, find the equation of the tangent line to the…

A: Find the derivative of-33x2+4x22y+y7=-28

Q: Find the derivative of y with respect to z. y=3 (28)

A: Please refer to the image below

Q: Find the 52nd term of the following arithmetic sequence. 2, 8, 14, 20, ...

A: Given airthmatic sequence 2 , 8 , 14 , 20 , .....

Q: 01 a) 3 Note: denotes the floor function. The lim (-) is f -0 O b) 2 ( [x+8] -2x 5e O c) 4 O d) 6 x…

A: Note: The given options are wrong.  The answer is given in step 2.

Q: Determine the general/particular solution (whichever applies): y"+10y + 21y=0 Ⓒy=c₁e²x+c₂e² 3x…

A: First, find the characteristic equation:

Q: Find the circulation of F = 7xi + 2zj+yk around the closed path consisting of the following three…

A:

Q: 3. Consider the series -2 + 4/3 16 27 a. Write the series in summation notati - 28-9 +

A: Please refer to the image below

Q: If f(z) = 8 sin-¹ (2³), then f'(x) =

A: The given function fx=8 sin-1x3. We have to find the derivative function f'x.

Q: Evaluate the following limits. If needed, enter oo for ∞o and -oo for -∞. (a) lim 3+ 248 (b) lim 22x…

A:

Q: A = [2²3] and B = [11] and Add AB to AC and compare with A(B+C). AB+ AC= A(B+C) = A(BC) = (AB)C= P.…

A:

Q: If the slope of the graph of f (same as slope of tangent line to graph of f ), at the point (1,2) ,…

A: Given the slope of tangent to the graph of f at point (1,2) is 7   We are required to find the point…

Q: 7. Find the radius of convergence and interval of convergence for the following power series. Σ(1)"…

A:

Q: A highway whose primary directions are north-south is being constructed along the coast. Near a…

A: A highway whose primary directions are north-south is being constructed along the coast. Near a…

Q: Graph the ellipse and locate the foci. x² v² + 16 49

A:

Q: If f(x) = (x6 + 4x) ³, then df(x) a) 3(x64x)² (x5 + 4) b) 3(x6 +4x)² Oc) (x6 +4x)² (6x5) da equals…

A:

Q: 2x²5x-3 x²-4 1) Graph the rational function: f(x) = - vertical and horizontal asymptotes. Find the…

A:

Q: The critical point (s) for is/are: y = f(x) = 4x³ - 30x² +48x+8 a) (-4, f(-4)) and (-1, f(-1)) O b)…

A:

Q: Question 8 Find f'(2). ▼ If f(x) = (4x + 7)-4, find f'(x). > Next Question < (round to 3 decimal…

A:

Q: Find the area of the shaded region. Enter your answer as a reduced fraction. =1-² OS -05- 93)=y²-y

A: The objective of the question is determine the area of the given graph of functions.

Q: Find the unit vector in the same direction as v. v=8i u= ai + bj + ck where a = b = (Simplify your…

A:

Q: rue or false. he integral True False f(a)de gives the area of the shaded portion shown. 3 -1 y =…

A: Given query is to find the statment is true or false.