Decide whether the limit exists. If it exists, find its value. Find lim f(x) and lim f(x). x-(-1) x-(-1)* -6 -4 -2 Af(x) 6₂ -8- 37 OA. -7; -5 OB. -2; -7 O C. -5; -2 OD. -7; -2

Q: (-3,5) + TH -4-2 6 y 2- −4 Y2 2 4 6 y₁ = 3x - 4

A:

Q: t=0 25. x = cos 8t, y = sin 8t, z=0.8, 120

A:

Q: IV. Evaluate the following: a) A pen manufacturing company produces blue and black pens only. If…

A: This is question of calculus here percentage is given we have to find quantity of manufacturing.…

Q: Geometric Series Given; a1= 3, An= 48, Sn=94 Find R and

A:

Q: Discuss, in detail, the continuity of the function f(x, y) for the whole domain making detailed…

A:

Q: 1. (1 − x)y' = y².

A: (1-x)y'=y2this is the case of variable seprable type

Q: Use the second derivative test to identify any critical points and determine whether each critical…

A:

Q: = Determine the slope of the tangent line, then find the equation of the tangent line at t x = 4…

A:

Q: Find first partial derivatives of (a) f(x, y) = x² + 3y + x³y² (b) f(x, y) = 2x² + 3x³y + 2x³y² (c)…

A:

Q: In year 1950, the population of a small town is 9,000 and it's growing at a rate of 6.8%. How many…

A:

Q: -5 -4 -3 -2 -1 + Ley 3 -5-4-3-2 1 F-1 Choose the graph of its derivative from among the following…

A: Given query is to find the graph of derivative.

Q: √-3-x+2 Let f(x) = 2 if x -4 Calculate the following limits. Enter "DNE" if the limit does n lim…

A: Given query is to find indicated limit.

Q: Suppose the daily cost function for fridges produced at Friga's Frigid Fridges is represented by the…

A:

Q: Evaluate 1 √√3 X el-x² dx.

A: Given,            ∫13xe1-x2dx

Q: -X a. Let y = Ce + Deb. Find y' and y", remembering that C, D are unknown constants, not variables.…

A:

Q: State the average rate of change for the situation. Be sure to include units. The temperature rose…

A:

Q: 8 == find an equation for the secant line through the points where x = 2 and x = 8. 9 X a. For f(x)…

A:

Q: Determine the following limit. lim (3x7-5x+1) 848 *** Select the correct choice below and, if…

A:

Q: Find the derivative of the function. f(t) = emt cos(nt) f'(t) = = X

A:

Q: A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: Use the indicated method of solution to determine a one-parameter family of solutions for each D…

A: The given differential equation is;  xy'=6y+12x4y2/3.

Q: Find the direction cosines and direction angles of the vector. (Give the direction angles correct to…

A:

Q: Consider the function f(x) = -4x³ - 18x² - 24x on the interval [-7, 6]. Find the absolute extrema…

A:

Q: der the function. f(x) = x-2 x-7 I of 2: Find all values of x that correspond to horizontal tangent…

A:

Q: Find the equation of the line tangent to the graph of y = |y=1.3956x +7.0847 9 In(x) at x = 3.

A:

Q: Which of the following matrices are invertible? (Select all of them.) 0 0 (88). (13). (8 5). The 3 x…

A: Find the matrices which are invertible.

Q: Evaluate the integral from 2 to 3 of  dx/((x^2)-1)^(3/2)

A: Given integral is ∫23dx(x2-1)32

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A:

Q: The Maclaurin Series for the function f is given by 4x² 8x³ 16x4 + + 2 3 4 f(x) = (2x)¹+1 n+1 n=0 =…

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

Q: 2. Let f(x) = x² + 2x.

A:

Q: 6. y' = x - 4xy.

A:

Q: 6. y' = x - 4xy.

A: y'=x-4xydydx=x(1-4y)dy1-4y=xdx

Q: Find the values of k such that the function f (x, y) = (e^kx)*sin y is harmonic.

A:

Q: Solve. Write the answer in standard form. 8x^(2)+1=6x^(2)

A: Given query is to find the solution.

Q: 3 (3) 31 3), хо

A:

Q: For function f(x)=x2 , vertex is the lowest point of this function, which its coordinate is (0, 0).…

A:

Q: Find the derivative of the function f by using the rules of differentiation. f(x) = (1 + 2x2)2 +…

A: Topic = Derivative

Q: A line is drawn perpendicular to the x-axis cutting the parabola y=4x-x² and the line y = 12-2x at…

A:

Q: If an account with an initial amount of $2000 earns 10% interest com- how long does it take for the…

A: formula for compound continuously is P=P0ert where P is final amount P0  is initial amount r is rate…

Q: Verify the identity, show all steps. cos x+1 cos a 1 + secx =

A: Topic - Trigonometric identities We are given that 1+sec x =cos x +1cos x

Q: Question 3 let f(x)=2x-3 find f(x+h)-f(x)

A: *Note: As per policy only first question is answered. Question 3. Given: f(x) = 2x-3

Q: How many 4-digit numbers can be formed using digits from {1,2,3,4,5,6} if repeated digits are not…

A: we need to find the number of 4-digit numbers which can be made

Q: . Determine if the function is even, odd or neither. a. 1 ƒ(x)=- "(x²+x²)² 3 5 5 3 b. y=x² + x³ +7…

A: Even function:  f(-x) = f(x) Odd function: f(-x)= - f(x)

Q: 19. Find the distance between the points (0,0) and (8,15) using the distance formula and the arc…

A:

Q: Consider the function. f(x) = (5x + 4)² Step 2 of 2: Determine the open intervals on which the…

A: We have given a quadratic function  fx=5x+42 Differentiating equation with respect to x…

Q: The volume and surface area of a spherical candy for any radius is given by the formulas V(r)=2 and…

A: NOTE: Refresh your page if you can't see any equations. . take r=0

Q: Velocity of a Ball Thrown into the Air The position function of an object moving along a straight…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Use the definition of derivative: dx = [ f(x+h)-f(x)) h lim h-0 to find f'(x) for f(x) = 2x² - 10.

A: Use the definition of derivative find f'x for fx=2x2-10.

Q: 4. y(4) + 17y" + 72 = 0.

A:

Q: Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. -2 0 2 -1 1-1 1 4 2…

A: