lim X-→-4+ lim X→→-4² 4x + [[4-x]] 2 3x² + 8x-16 4x + [[ 4-x]] 2 3x² + 8x-16

Q: f(x) is continuous on (-∞0,00). Use the given information to sketch the graph of f. f'(x) +++0 -4…

A: Topic - function and derivatives we are givenf'(x)= 0 at x=-4,4f''(x)=0 at x=-2,4f'(x)>0 for…

Q: Suppose that the functions and g are defined for all real numbers as follows 16-3-1 g(x)-3x+1 Werte…

A:

Q: K The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000+200x. (A) Find…

A:

Q: A certain company recently sold five-year $1200 bonds with an annual yield of 8.25%. After how much…

A: In this question, we need to find the time.

Q: Evaluate the limits. (You may not use L’Hopital’s Rule). limx→infinity tan^−1 (ln(1/x^2 + 2e^-x

A:

Q: points) 0³y əx² ət A B C (D) <- 11 y t x E) V 0² dx² 0² ət ox vt 3uxy +=0

A:

Q: The figure shows the position versus time curve for an ant that moves along a narrow vertical pipe,…

A:

Q: Find the parametric equations of the line through (1,−3, 4) that is parallel to the line x = 3 + 4t,…

A:

Q: Use a tangent plane at (-6,-4) to approximate the value of the following function at the point (-…

A: Given function :  −2x2−4y2+7z=−101 Now, −2x2−4y2+7z=−101z=2x2+4y2−1017f(x,y)=2x2+4y2−1017

Q: Find the vector w with magnitude 17 that lies in the direction opposite of v = (1, -2,3). Show all…

A: Given vector   v→=1, -2, 3

Q: Find f'(a). f'(a) = f(x) = 2x² - 3x + 1

A:

Q: The function s(t) describes the position of a particle moving along a coordinate line, where s is in…

A: We have to use a concept of differentiation. According to our guideline we are supposed to answer…

Q: Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the…

A: All the parts are solved below in detailed manner.

Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

A: The given function fx=x4-4x3+10 we have to find the value of absolute maximum and absolute minimum…

Q: e function f' defined by the formula f(x+h)-f(x) h x) = lim h→0 alled the derivative of f with…

A: Given, f(x) = 3x3using function f' defined by the formula(a) f'(x) =limh→0f(x+h)-f(x)hf'(x)…

Q: dollars). (a) Find the company's break-even points. (Enter your answers as a comma-separated list.)…

A: Given query is to find the break even point, and the number of unit where profit is maximum and the…

Q: 8. Each of the following points is given in rectangulr (x, y, z), cylindrical (r,0, z) or spherical…

A:

Q: 5. Prove the following using the & - 8 definition of a limit: lim 3 - x = −5 x 10

A:

Q: Explain why 3% compounded continuously is better than 3% compounded monthly. O The continuously…

A:

Q: Determine the degree of the differential equation: 3/2 d²y 2/3 (3x² 1²7 2 + 4xy) ¹² = ( 2y³ (²Y -…

A: The degree of the differential equation is defined as the power to which the highest order…

Q: Solve (x - 1)dx - (3x - 2y-5)dy = 0

A:

Q: Market Share The following figure shows the devastating effect the opening of a new discount…

A: 05:38   640 441 4   Applied Calculus for th...   Chapter 2.6 Problem 8E   Problem   Market Share The…

Q: Use the vertical line test to determine whether or not the graph is a graph in which y is a function…

A:

Q: 1. Show that In(x²+2y²-1) lim (x,y)-(0,1) e2x² + y²-2 does not exist. 2. Let k(x, y) = e4x cos(x +…

A:

Q: Given x³ - 3x + y² - 2y find the absolute minimum and maximum over the region bounded by y=x+4, y =…

A:

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

A:

Q: 1) Calculate the following integral on the plane domain D defined by (x 20,y20 y ²0, x² + y² ≤ R²³)…

A: See this solution in below.

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000+400x. (A) Find the…

A: Given, The total cost of manufacturing x auto-body frames is C(x)=30,000+400x (a) To find the…

Q: Sin x/x

A: Let's solve.

Q: dx dt = cos x cos²t

A:

Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A:

Q: 4. [secx tan x cos(secx) dx

A: A detailed solution is given below.

Q: variable

A:

Q: Calculate the cross product assuming uxw = (-3,5,-2) (Use symbolic notation or fractions where…

A: a) Given u×w=-3,5,-2Therefore(5u+7w)×w=5u×w+7w×wBut…

Q: can you please rewrite the answer  ? I cannot understand the writing . Thanks

A:

Q: Given: (2x - 4y -3) dx - (3x - 6y+3) dy = 0

A:

Q: Suppose that the function fis defined, for all real numbers, as follows. f(x)=- 3 1 x-2 if x # -2…

A: The given function is f(x)=-14x-2if x≠-23if x=-2 We have to find the value f(-5),f(-2) and f(4) .

Q: 1. A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: Concept Used: Product Rule If an event occurs in m ways and another event occurs in n ways, then the…

Q: Consider the following piecewise function. The formula and the graph of the first piece is given.…

A:

Q: 2. Evaluate the following and give the exact value: Show your complete solution. n/6 cosy -y…

A: Evaluate , ∫π6π2∫0cosy∫yπ-ysiny+zdzdxdy=?

Q: Use sigma notation function. Σ write the laylor series about 1 2+5 for the

A:

Q: ← If √7-6x² ≤ f(x) ≤ √7-x² for -1 ≤x≤ 1, find lim f(x). x->0 lim f(x) = x-0 (Type an exact answer,…

A:

Q: The solution of the differential equation y': || x 1 + 1 is:

A:

Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

A:

Q: The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the method of cylindrical shells to find the volume generated by rotating the region…

Q: Jse any of these formula (an = 1/2 (a₁ + an ) or an = 1/2 [2a₁ + (n − 1)d] to solve for the sum of…

A: As per the guidelines I am supposed to do the first question among multiple questions, So here I am…

Q: Can we use x = vy? (x -y In (y/x)) (vy - y In(y/vy)) --> (vy - y In(1/v))

A: yes you can do it.

Q: My friend Carlos, a graduate student, loves coffee and it is the one thing he pays full price for on…

A:

Q: Determine the degree of the differential equati 3/2 2/3 (3x² ² 2 + 4xy) ¹ ² = (2y³d² - 4xy)" d²y dx²…

A: The given differential equation is; (3x2d2y/dx2 +4xy)3/2=(2y3d3y/dx3-4xy)2/3