a continuity of the function esinx (x,y) # (₂) X (X,Y)= (0,0) Discussion Sexiy) at the Point (0,0), where Sex, y) of 1

Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

A:

Q: Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: 6. Where does the normal line to the curve y = x - x² at the point (1, 0) intersect the curve a…

A: Topic = Functions

Q: Iff is continuous on [a,b], then (A) True B) False b b xf(x) dx = x f(x) dx a a

A: In this question, we want to know whether the given statement is true or false.

Q: 14. √ √2-√x dx

A:

Q: problem. Check that the following Function is harmonic and determine it it is a harmonic Conjugate.…

A:

Q: Make a linear systems only for this problem. The sum of the digits of a 3-digit number is 11. If the…

A: Given that the sum of the digits of a 3-digit number is 11. If the digits are reversed the new…

Q: 3.§ sin* 2 x sin 4 xdx

A:

Q: Are you sure its correct? Because the formula for infinite sum is different

A: The summation of 2n-1/3n+2, n from 4 to infinity.

Q: Find the complete solution of e sinx- - Note: fe" du = e" + C dy cos² x=0. dx

A: e-y sin x-dydx cos2 x=0⇒dydx cos2 x=e-y sin x⇒ey dy=sin x cos2 x dx⇒ey dy=sin x cos x·1 cos x dx⇒ey…

Q: Given Cost and Revenue functions C(q) =q³-9q² +57q+5000 and R(q) = -3q² +2600q, what cost is…

A:

Q: 1 Find the volume generated when the area bounded by y=√√x and y=-x is rotated around the x-axis 2 A…

A:

Q: Given f(x,y) = ex cos y, Evaluate fx(2,0)

A:

Q: Sx√x + 1dx

A:

Q: Function problem. Check that the following that is harmonic and determine is a harmonic conjugate. y…

A:

Q: 0,000? e marginal revenue is dollars per item. necessary, round to the nearest integer

A:

Q: Given the function y=f(x), y" is found to be positive over the interval (4,8), then over this…

A: This question can be solved using the relation between second derivative and concavity of the…

Q: I want to know how to find the value of t ( ۱ - له ره + X \ = (2 + ) ه .. -۱۱- ۱ (۱۰) اهره + + t

A:

Q: X X-2 such that (fog)(x) = x + 2. Q₁/ let f(x) = , find a function y = g(x)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: For each system below that is linear, determine whether it is consistent. (a) 3x₁ - x4 = 1 3x₁ + 3x₂…

A:

Q: 3n³ + 2n² + 1 n→∞ 1+n-2n³ " (a) lim (b) lim x→1 x² + √√√x-2 1 - ln x

A: Topic = Limits

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. sin (2x - 6) sin(4x12)…

A:

Q: In evaluating 4 2 2 dx x√√x²-4' is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A:

Q: Find the intercepts and the vertical asymptote of x²-2x-3 4 Enter the intercepts as points. (a, b),…

A:

Q: 까지 dx 10. A. In x + C B. In² [x] + C C. m² 1x1 xl 2 + + C

A:

Q: [²(x². x7-4x⁹+ (A) True B) False sin(x) (1+x²)² dx=0

A: We have to find the solution

Q: e2-s L-1 (5(5²-53) O [(-1/3) + e^(4(t-1))/3] e^2 U(t-1) O [(-1/3) + e^(3(t-1))/3] e^2 U(t-1) O None…

A: We have to find the inverse Laplace transform of the above expression.

Q: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). The…

A: To find the intercepts and the vertical asymptote of the following rational function.fx=x2-2x-3x-4

Q: 1. fx³ In x dx

A: Evaluate the integral equation by integration by parts .

Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: Q2. Find the exponential Fourier series for f(t): (1 = Fourier series. 0<t<1 (2 1<t<2 then find the…

A:

Q: Cynthia's investment of $81,200.00 in a fund matured to $160,353.29 in 7 years. If the interest in…

A: We want to calculate period and nominal interest rate.

Q: Q:2. Use the first derivative test to find the intervals on which the function is f(x) = x4. which…

A:

Q: Using Trapezoidal method √x²dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: SOLUTION-

Q: Consider the sequence -13, -3, 7, 17,.. 10n + 7. ...9 a. How many terms are there in the sequence?…

A:

Q: Find the area bounded by y=-x²+1, y = − 2x + 2, x=-2, and y=2. (A) 5 B) 16/3 C) 1/3 (D) None of…

A: We can find the area as below.

Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Ans=Trigonometric substitution  For detail...go through the solution....

Q: 4 3. 2 1 -4 -3 -2 -1 2 -1- -2- -3+ 3. From the above graph of y = f(x), find the following limits:…

A: a)2  b) -2  c) -4

Q: 5. fx √x + 1dx

A:

Q: Find lim n→∞ n + cos(x) Jo ne + sin(x) So -dr.

A:

Q: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…

Q: Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.7q+950, what profit can be…

A: We need to find profit.

Q: Given f(x,y)=x²exy, evaluate f,(3,0). (A) 27 B) 13 C) 9 D) 6

A: The function is given as , fx,y=x2exy evaluate fy3,0=?

Q: Using Trapezoidal method 3 x³dx for n=6 is equal to Blank 1 (use 2 decimal places with proper…

A: Let's solve given integral by using trapazoidal rule.

Q: 1² ax +6 cos(x³) (A) True B) False |dx=0

A: Here, x6cosx3 is an even function. So, ∫-11 x6cosx3dx≠0

Q: Ive what is asked in the following problems. Write your solutions and box your final answer 1. Find…

A: Let's find tangent line and normal line equation.

Q: Find a system of linear equations corresponding to the augmented matrix. 505 65-5 069 x₁ + i x1+ X₁+…

A:

Q: Question 38 What integration technique can be used to integrate: (A) Power Formula Integration By…

A: Here we have to determine the integration technique to solve the given integration. =∫5dx3+x2

Q: 7. f sec5 2 t dt

A: We can solve the integration as below