Express the function f(x) = 1+ |2x - 5] in piecewise form (without using absolute values. [Suggestion: It may help to generate the graph of the function.] [f₁ z

Q: (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

A:

Q: Which of the following cannot be solved by integration by parts?

A:

Q: Two mechanical gears are adjacent to each other. The larger gear is the prime mover for rotating the…

A:

Q: Given that S [₁² f(x) dx = 3, ²9(2) dz = 2 g(x) dx 39(x) - [² f(x) — 2 dx.

A: Given ∫02fxdx=3        ....1∫02gxdx=2      ......2

Q: x(x² - y² - x) dx - y(x² -y2) dy = 0 ; x = 2, y = 0 O 3(2x^2y^2 + x^4 - y^4) = -4(x^3 + 4) 3(2x^2y^2…

A:

Q: lef f(x) = x-2₁ g(x) = ³√x₁ h(x)=x4, and j(x) = 4x, Express oach of the function. given below one or…

A:

Q: Find g"(x) for the function g(x) = (x − 3x³)(x² + 1). [A] 6+ 2x [B] 60x4 - 12x [C] -60x³ 12x [D] 0…

A:

Q: Evaluate the integral: (A) Which trig substitution is correct for this integral? 0x = 9 tan(0) O x =…

A: GIVEN :∫x39-x2dx

Q: Can you answer question 5 please?

A: By change the f(x) and g(x) as polynomial we can change the value in different limit condition.

Q: Determine the domain of the function f(x) = √x x² - 64 (Give your answer as an interval in the form…

A:

Q: 2 X² +4X-9 = 0 Solution Set {} 3

A:

Q: 1. Find and sketch the domains of the functions f(x,y) 1 In(4- x² - y²) 1 and g(x, y) 1 √x + y² = 4

A:

Q: In five years, P18,000.00 will be needed to pay for a building renovation. In order to generate this…

A: Please see the below picture for detailed solution.

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

A:

Q: 8. Find the position function r(t) given that a (t) = (-1,-1,-1) and 7(0) = (-5, -5,5) and 7(0) = 0.

A:

Q: dx x ln x√In¹ x - 25 Evaluate ·1₁

A:

Q: Find the domain and range of function and show your solution thanks

A: Given:        fx=x+4 Domain:      y=x+4     x+4≥0     x≥-4 Thus,        Domain is  x≥-4…

Q: 3. Find the plane that satisfies the following conditions: (a) The plane that passes through the…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: We want to compute the following limit a) As t approaches 0, this gives an indeterminate form of the…

A: Topic- Simplification we are given,limt→02t3-9+5twe need to simplify by using rationalization so…

Q: g(a)=-2a+5 f(a)= 3a +5 Find (2)(a)

A: As per our answering guidelines we are allowed to solve only one complete question. Kindly repost…

Q: Find the domain of the following function. Select the correct answer below All real numbers except…

A:

Q: 211 रे Solve X हउ Solve in terms of i for solution set,

A: This question can be solved using the formula a2-b2=(a+b)(a-b)

Q: Find ACD, if possible. A = 2-1 0 1 2-3 C = -2 03 3-22 -1 33 D = 1 -2 0-1 3 1

A: Given A= 2-11 02-3,   C= -203 3-22 -133 and D= 1-2 0-1 31To find: ACD

Q: Factor the polynomial f(x) = x² + 2x - 48. f(x) = The zeros of the parabola are: x= or a= The vertex…

A: We can answer the questions in the below steps.

Q: Find (f. f)(x). X 8x + 49 Find the domain of (f. f)(x). (Enter your answer using interval notation.)…

A:

Q: Find the indicated derivative. for p = 9² +2 4q-1 11 da

A:

Q: Using the Inverse of a Matrix In Exercises 19-26, use an inverse matrix to solve each system of…

A: Given 3x1+2x2=1 x1+4x2=-3

Q: 6. Find lim1F(t), where r(t) = 1² In (2t - 1) 1' 2022-t (1=1) 1/1₁ eve).

A: Answer and explanation is given below...

Q: dy Given 3x4 + 2xy = 4y2 - 12, use implicit differentiation to find dx dy dx =

A:

Q: 5&6.1 Optimal Path(#differentiation) You are a rover pilot on the crew of the initial exploration…

A: Given information:  G1: The on shore velocity of drone = 4km per hour G2: The off shore velocity…

Q: Please can you rearrange this differential equation into standard form and then select from the…

A:

Q: Verify that the following DEs are nonexact, then find (4). 4. vx+2v+2 dx + 2xv+5 dy=0; v1=-1…

A:

Q: Use the formula below to find the slope of the tangent line to the curve at the given x-value. √x at…

A: Slope of the Tangent line (m)=1/4

Q: Suppose C is a constant and that O 1 0 1 2 exists. Then this limit must evaluate to 2 lim x→0 2…

A:

Q: of Touch up dx (3x-2)√√9x² - 12.x

A: Given ∫dx3x-29x2-12x

Q: Use the trapezoidal rule to approximate the integral the integral sign , lower limit = 0 , upper…

A:

Q: For the function f(x) = |2x − 8], evaluate the left and right limits of f(x) as x approaches 4.…

A:

Q: Find f'(x) by using the definition of the derivative. f(x) = x² − 7x +4 f'(x) =

A: Solve for the derivative by using defination of derivatives

Q: Consider the function f(x)=x²+x and the point (1, 2). (a) Find the slope of the tangent to the graph…

A: Slope of a function y=f(x) at a point (a,b) is given by y'=f'(x)x=a=f'(a)ANd equation of tangent at…

Q: 10. B. (Å×ů) | Run A X = lyz2 -382 zxyz 으으 oxy t 으 olo p = xyz = 아름 - 3x22 2x42 으 해 고 ㅎㄹ | C.) 2 92…

A: To determine the mistake done by the student and to correct the solution provided by the student.

Q: Precision Approach Path Indicator (PAPI) lights are used as a visual approach slope aid for pilots…

A: Concept: Trigonometric ratios: tanθ=perpendicularbasesinθ=perpendicularhypoteneuscosθ=basehypoteneus…

Q: Describe how the graph of the function is a transformation of the graph of the original function f.…

A:

Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√3i)

A:

Q: Find the domain and range for the absolute value function f(x) graphed below. Then determine where…

A:

Q: how did you arrive at the value of 20 for the coeficciant of the derivitave?  4/5 of 45 is 36.  Also…

A: Query regarding value of coefficient in step - 2. In order to explain step-2, the step is again done…

Q: Evaluate the integral. (Use C for the constant of integration.) tan²(x)) dx - / 5 (1-ta sec²(x)

A:

Q: 6 y = 5x + 6 Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the…

A: The standard form of line equation is  y=mx+c  where  m= slope=6/5 c= y intercept=6

Q: x+7 lim x--7- 3x + 21| lim ³ cos 3 X 40+ 2 (²) 4-√x lim x-16 16x - 22

A:

Q: 1. Fill in the derivative rules learned in class on: d dx [c] = d dx -[e] = = d dx d dx [x²] = =…

A:

Q: Let f(x) = The equation of the tangent line to the curve at the point (3,0.40000) can be written in…

A: