(a) Find the vertex and axis of symmetry of the quadratic functi or concave down. (c) Graph the quadratic function. f(x)=2(x-1)² +5 www (a) The vertex is (1,5) (Type an ordered pair.) The axis of symmetry is (Type an equation.)

Q: =1 Let R be the region bounded by the functions f(x) = -x² - 4x and g(x) = as shown in the diagram…

A:

Q: 24 24 The two-dimensional Laplace equation + = 0 describes the potentials and steady-state…

A: Given :f(x,y)=e7y sin(-7x)

Q: Question 12 : A spherical snowball is melting in such a way that its diameter is decreasing at rate…

A:

Q: Draw a graph to match the description given. f(x) is increasing over (-∞o,-5) and decreasing over…

A:

Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as a whole number value, no…

A:

Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

A:

Q: S x cos √x² +4 V √x² + 4 dx

A:

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y)=x² + xy + y² - 6x +7…

A:

Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: We have to find the profit function and average.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

A:

Q: find the limit as x approaches to infinity (x-3 / x+1)^x/a

A: We need to evaluate the value of the following limit limx→∞x-3x+1xa Formula Used:  limx→∞1+mxx = em…

Q: 0 2 4 1 3 9 17 31 ? Question Plot the data from the table on the graph, where x represents the…

A:

Q: ) If A = (17) 5 6 , then prove that (A + A) is a symmtric matrix. If A = -1 -√3 -1 √3 then prove…

A:

Q: 25+1 c) r³-3x²-10x dx

A:

Q: dx Consider the integral S (x - 2)³/21 (a) Why is this an improper integral? (b) Determine if the…

A: ∫ 241x-232dx

Q: 3. f(x) = 3x-7

A: Topic:- derivatives Note :- as per our guideline if more than one question uploaded than only first…

Q: Answer and give the complete solution. The lower edge of a mural, 12 ft high, is 6 ft above an…

A:

Q: If F(0) = 2 and F(5) = 5, then F'(x) dx =? 05 3 O

A:

Q: Consider the vector-valued function In(2t + 1) sin t R(t) = î+ t t Redefine (t) such that it is…

A: we say the R(t)  is continuous at t=0  if limt→0 R→(t)= R(0)

Q: Find the area bounded by x²y = x² - 4 and x-axis, from x = 2 to x = 4.

A:

Q: Find the value of x If f'(3) = 52? 1 2 4 f(x) -2 8 X

A:

Q: (D² - 4D + 4)y= e2x sec²x

A: Reduction of order and variation of parameter (D^2-4D+4)y=e^(2x)sec^x

Q: Which of the following is TRUE about the given in Example 2 of the video below? Derivative of…

A:

Q: 6 4 3 5 9 7 10 ^ - :: ³ - 1 - - [H] A = 1 3 C B 6 4 2 0 8 11 5 2 if D=C-A, then the element d13 is:…

A:

Q: Find the area enclosed by r² = 4 sin 20.

A:

Q: 8. y = log x-1 x+1

A: Let's find second derivative of given function.

Q: Function: f(x) = 6 - 12x + 2x3 Find: Critical points, maximum, minimum

A:

Q: dx √81+16x² S

A:

Q: lim 81x √16x2 4x

A: lim   16x2/4x x -->∞   lim   4x/4x x -->∞ = 1

Q: (2) secxtanxdx e definite integral by substitution: -21 1- (2) dx (3) [x√x-2dx

A: We have to find the value of the given definite integral according to the given information

Q: 3. Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: given isr=2-3cosθ

Q: 4 3 a 2b0 Matrix A is defined as A = 9). where a, b, c E R. If A = A-¹, C 0 1 then find the value of…

A:

Q: Answer and give a complete solution. A ladder 25 ft long stands against a wall. The lower end is…

A:

Q: What is the range of the function y = 5 sin(0+ 60°) - 4? O -60° ≤ y ≤ 60° O-9≤ y ≤ 1 O-4≤ y ≤9 O-1 ≤…

A:

Q: (b)show that: I(cosh at cos at)=; s*+40*

A: This question can be solved using the concept of Laplace transform.

Q: Determine the absolute extrema of the function ?(?) = sqrt of x - 9 on the interval [9,45]

A:

Q: (1) / 25 5 + 7x dx √x T/3 1+(cos0)² de (cos 0)² √3/³ 1 + (3) √x-4\dx

A:

Q: Find the volume of the parallelepiped determined by the vectors (0, 4, 5), (2, 0, 5), and (-1, 3,…

A: Volume of parallepiped is (a X b).c

Q: (1) y=x, y=2-\x/ (2) y=1/x², y = 8x, y = x/8

A:

Q: Converting Polar / Rectangular Equations Homework Equation Conversion from Rectangular to Polar…

A: We know that general algebraic rule is - (a-b)2 = a2 + b2 -2ab  And trigonometry identity is-  sin2x…

Q: 13-f(t)=t-cost;

A:

Q: x² In solving for the antiderivative of f(x)= √√4-x² using trigonometric substitution, f(x) dx is…

A:

Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 0.04…

A:

Q: H.W (3) Find Laplace Transform for 1-f(t)=te"; 2 3-f(t)=e" sin 3t; 5-f(t)=(2t+3e² + 4sin 3t);…

A:

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

A:

Q: Classify the following differential equation: Second order, nonlinear Nonlinear, homogeneous Linear,…

A:

Q: x4 dx 2 2 (x² +9) ² 3 = 3 WIX 2 Arctan là + 51]+c 4 (x249)

A:

Q: Consider the following system. dx = -9x + 4y dt dy 5 -- +2y dt Find the eigenvalues of the…

A:

Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as an INTEGER value, with NO…

A:

Q: Question 1 If A = {x+|x-1| : x € R}, then which of ONE the following statements is TRUE? O A. inf A…

A: