4. Graph the piecewise. Then, find the limit. lim h(x), h(x): x-2 = -2x + 2, 1-x² + 2x -2, -2 x≤2 leff x>2 -b 2a 2(1)-(1-5) 1-2-2 right ONE finite discontinuity FT X

Q: Explain the relationship between a function and the derivative by providing an example.

A:

Q: Write the integral in rectangular coordinates, and then evaluate it. i) xyz dV where G lies below z…

A: Given that , z=1-x2 and the rectangle is R=x,y:-1≤x≤0 , 0≤y≤2 Evaluate ∫∫∫GxyzdV=?

Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.

Q: What is the inverse of the function f(x) = (x-6)2 where x ≥ 6, if it exists?

A: Given: f(x)=x-62

Q: What is the exact value of the definite integral K|2 ㅠ 05 O None of these. O-20 O 20 4x 25 x² dx?

A: Given query is to find the integral.

Q: 8 W n=1 Determine whether the following series converge absolutely, converge conditionally, or…

A:

Q: A large rectangular movie screen in an IMAX theater has an area of 9,064 square feet. Find the…

A: To find the length and width.

Q: -1 Use Integration by Parts to find the indefinite integral cot ¹(a) de. -1 x cot ¹(x) + ln(x² + 1)…

A:

Q: Graph the ellipse given below by dragging the center, vertex, and co-vertex points to the correct…

A: To graph the ellipse given below with the center, vertex, and co‐vertex to the correct…

Q: nth derivative of f(x) = 5º? Assume n is a positive integer. What is the n

A:

Q: Which of the following graphs show a removable discontinuity? (Select all that apply) U e

A: Please see the below answer.

Q: I Use Trigonometric Substitution to find the indefinite integral O None of these. In 3 +√9-2² - In|x…

A:

Q: Determine whether the matrix is invertible. 85-8 -7 0 O No Yes NN

A: A matrix A is invertible if the determinant of A is not equal to zero.

Q: Given - 3x² dy dx B) Find the slope of the tangent line drawn to the graph of − 3x² − 2xy + 3y³ = 25…

A:

Q: Find all real numbers k, if any, for which no real solution for k -2 and 2 -4 and 4 2 [₁2³ dz r³ dx…

A:

Q: sin³ x + cos²x sinx = 2

A:

Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

Q: hether the matrix is invertib

A: We have to consider the given matrix is invertible or not

Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: DETAILS GHCOLALG12 1.5.018.MI. oriental rug is 5 feet longer than it is wide. If the diagonal of the…

A: Given query is to find the dimensions of the rug.

Q: 16) Let f(m)-0 be the auxiliary equation of f(D)y=0 with solution set equal to (-1,0,0,2), then…

A:

Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

A:

Q: What is dy given that y = ln (4- x? 1 x-4 dx 4 O I da I 4 dx 4-x

A:

Q: Convert the following equation for a hyperbola into standard form, and graph it below using the…

A:

Q: Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S…

A: Use property of Laplace

Q: 4. Find the equation of the plane that is perpendicular to the curve C(t) = at t = π/4.

A:

Q: Suppose that f'(x) = Answer: 8 + x² and F(x) = f(√). Find F'(1).

A:

Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

A:

Q: Evaluate the surface integral [[ 3. where S is the portion of the plane x + 2y + z = 2 lying in the…

A: We need to solve integral.

Q: the graph of the piece-wise defined function below, f(x), find the following -3 -2 ain: ge: 6 4 3 27…

A: Given query is to find domain,range and interval of increasing and decreasing.

Q: f(x, y) = fx ( - 2, 2) = 2 2 3x² + 5y²

A:

Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

A:

Q: For what values of h are the given vectors linearly dependent? 5 -20 -3 12 5 4 6 52 3 h Vectors are…

A:

Q: The volume of a balloon is inflated from 0 to 8 m³ in 5 minutes. What is the average rate of change…

A:

Q: Use implicit differentiation to find the slope of the tangent line to the curve 3x³y + 7xy² = = 198…

A:

Q: If g'(x) = - 3x(x + 2) (x - 3), then the graph of g (x) has a relative maximum at what value (s) of…

A: For relative maxima f'( x ) = 0 f''( x ) < 0 g'(x) = - 3x(x + 2) (x - 3)

Q: dentify the circle that has center (4, -2) and radius 4. Select the correct answer below: (x-4)² +…

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

Q: convergent serie 12) Find the sum of each 2 A) / + = + ( ² ) ² + ( ² ) ³ + ( ²1 ) 4 + ... ( - )^² +…

A: Let's find sum of given series.

Q: Evaluate the integral by making the appropriate substitution: u = dx (6x +4)³ 11 Submit Question…

A: Given query is to find Indicated integral

Q: 3. Solve the following inequality: x³ + 2x²-3x x-4 ≤0

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. Z= In(x - 2y),…

A:

Q: 6) For the following, find the x=2 and give the first Taylor Series, write the in f(x) = ln (x)

A:

Q: What is the value of 22 1 110 O 21 S 0 x(1-x) dx?

A: Given ∫01x(1-x9)dx   The objective is to evaluate the integral.

Q: Assume f and g are inverse functions. Which of the following statements is/are true? 1. y = f(x) if…

A: Please see the below picture for detailed solution.

Q: Find the equation of the hyperbola with vertices (−3, 6) and (−3, −2) and foci (−3, 8) and (−3, −4).…

A:

Q: Find the Laplace transformation L {f(t)} if f(t)= (t + 1)² ? s²+2

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take Laplace

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: use implicit differentiation for finding the derivatives.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A:

Q: Integrate tan x from x = 0 to x = 1.32, then round your answer to the nearest thousandth (3 decimal…

A: We have to integrate tan x from x=0 to x=1.32.

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]