For the function, evaluate the given expression. y) = \n(x² + y²), find g(0, e) g(x, y) g(0, e): =

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: f(x) = 2; ; хо = -3

A:

Q: Find f(x) by solving the initial value problem. 5 f'(x) = 1 +e²+ = f(1) = 7+e f'(x)=1+e*+

A: Given: f'(x)=1+ex+5xf(1)=7+e We are required to find: f(x)

Q: The complete graph of y = f(x) is given below. Use it to graph the following function. g(x) = f(x) +…

A:

Q: Determine the following integrals. 1 fsin5 x.cos¹ x dx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: 10 a) Find the simplified form of the difference quotient for the function f(x) = b) Complete the…

A:

Q: If a company has total costs C(x) = 40,000+ 15x + 0.2x2 and total revenues given by R(x) = 595x…

A:

Q: Use the graph and the function to find the following. a) Find lim k(x). x--1 b) Find k(-1). c) Is k…

A: limit existance conditionif LHS limit = RHS limit continuity existance conditionif LHS limit = RHS…

Q: Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ f(-1.1, 6): = tan(x) + y and u is the unit vector in the…

A: f(x,y)=sqrt(tanx+y) , (x, y) = (-1.1,6) Unit vector in the direction <-1,1> Find the gradient…

Q: 2. a) Evaluate the integral. sin(3nt)dt b) 2x³ +3x6 dx

A:

Q: = x³ and What is the volume of the 3D region, whose base is the region between the curves y = y = √,…

A: We have,   Curves :- y = x3 and y =  √x  Cross section are squares.

Q: What type of polar curve is the polar equation r = 3 - 3 sin (0)? rose O lemniscate limacon cardiod

A:

Q: Given one form a line, match it with its equivalent equation in another form. [x, y, z] [3, 2, 1] +…

A: a. x,y,z=3,2,1+t1,2,3b. x,y,z=-1,0,1+t0,1,0c. x,y,z=1,2,3+t3,2,1d. x=0y=1z=te.x=-ty=1z=1+t

Q: - y=t? –t, t = 2x2+1, what's the dy dx for x=1?

A: We know that the derivative of x^n=nx^(n-1)

Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1)

A:

Q: Determine the concavity and points of inflection for y = 2cos(x) + sin(2x) over the interval 0 ≤ x ≤…

A:

Q: One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate…

A: One side of a triangle is increasing at a rate of 9 cm/s and a second side is  decreasing at a rate…

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

A:

Q: For the region bounded by the graphs of the equations, find the volume of the solid generated by…

A: The region bounded by y=sinx ,y=0,x=0,x=π Graph

Q: The vectors and have lengths 2 and 1, respectively. The vectors a +56 and 2a - 3b are perpendicular.…

A: The vectors a→ and b→ have lengths 2 and 1 respectively.The vectorsa→+5b→ and 2a→-3b→ are…

Q: What is the complex number z = -3 + 3√3i represented in polar form? Enter your answer by filling in…

A:

Q: a) Find the parametric equation of the line passing through the point (1, 5, -3) and parallel to the…

A: In this question, we can find parametric equation and value of k.

Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: Solve the following differential equations d²y d+2 +3. a) b) dy -54y= 0, y(0)=7,y'(0) = -2 dy -2x 2x…

A: The differential equation given is  a) d²y/dx²+3(dy/dx)-54y=0  y(0)=7, y'(0)=-2  "As per the rules,…

Q: x cos(x) dx?

A: ∫xcosxdx

Q: Let f(x) = 2x³ - 3x² - 72x+1. a. Find all points on the graph of f(x) at which the tangent line is…

A: Let fx=2x3-3x2-72x+1 (a) To find all the points on the graph of fx at which the tangent  lines are…

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: The given differential equation is;  9y''-16y=sin(x)

Q: Find the indefinite integral. Hint: u = x - 1 implies x = u +1. x(x-1)dx

A:

Q: 1/3 The integral fo²³ 3-√2-9x1² dx is to be evaluated 0 directly and using series approximation. 1)…

A:

Q: For the function f(x) = 5(2) - 7, state its domain, range, and asymptote and then graph the…

A: Given, the function…

Q: The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and…

A: Given, px = 1.60x for  x ≤ 301.30x+k  for  x > 30  We have to find the value of  k such that…

Q: Write out the first five terms of the sequence, determine whether the sequence converges, and if so,…

A:

Q: Find the area under the curve y - area = 6xe-* for x ≥ 3.

A:

Q: What is the reference angle of θ if θ = –137°? A 43° B 47° C 137° D 223°

A: Explanation of the answer is as follows

Q: Determine if the improper integral converges and, if so, evaluate it. dx S3 (x+7) ³/2 Write F if the…

A:

Q: olve the problem. Suppose that g is continuous and that g(x) dx. A) 6 B) 26 -26 g(x) dx-10 and Lås…

A: g(x) = is contionus function

Q: Solve the following differential equations dy dr² dy -9x+24y=0, y(1)= 1,y(1) = 0 dx

A:

Q: Evaluate the surface integral ¹ // F F. ds for the given vector field F and the oriented surface S.…

A:

Q: What is the area of the region bounded by the curves y = x and y = x³ in the first quadrant ?

A: We are required to find: The area of the region bounded by the curves y=x and y=x3 in the first…

Q: 5. f(x)=x² + 8x - 64, what's the minimum point of f(x)?

A: We have, f(x) = (x ^ 3)/3 - 9/2 * x ^ 2 + 8x - 64

Q: 4x² +28x + 25 (x + 7)(x + 2)² 1 x+7 B (x + 2) 3 (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…

Q: IV. Use the properties of the dot product to evaluate the expression, assuming that u v = 2, ||u|| =…

A:

Q: 5. The velocity function (in meters per second) is given for a particle moving along a line. Find a)…

A:

Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (3x +21) + 1.1…

A: gx=ln3x+21+1.1

Q: Tutorial Exercise Evaluate the integral. Step 1 [₁ 10 sin²(x) cos³(x) dx Since [10 10 sin²(x)…

A: Consider,

Q: What is the equation of the square root function in the graph? y = y 10

A: NOTE: Refresh your page if you can't see any equations. . the square root function is in the form…

Q: TT Find the Taylor series at x = for 7sin(x). (Make sure your answer has at least three terms.) 2

A:

Q: Consider the following integral: a) Note: answers are to be entered to four significant figures. b)…

A: Finally, just sum up the above values and multiply by Δx/2 = 1/4 : = 1/4(10.76720 + 22.10994 +…