The equation of the tangent line to the curve y=x² +1 at x = -4

Q: Find the definite integral of the items below from a=0 and b =1: Show your solution thanks!!

A: Solve the following

Q: How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x + 2y + z = 1? If there…

A:

Q: etermine whether the function is one-to-one. If it is, find a formula for its inverse. 9 x+2 *** the…

A: We are asked to find inverse of the function when function is one to one.

Q: 2x-1

A: Follow the procedure given below.

Q: Show the 2 SOLUTIONS using Simpson and Trapezoidal's Rule. Thanks

A: Given

Q: 1. Dan earns P620 in selling 5 boxes of facemask, how much will be earned in selling 20 boxes of…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: as a single logarithm and, if possible, simplify. -log b +3 log c log b + 3 log c = Use parentheses…

A:

Q: 9. f²-2x(3x - 1) dx

A:

Q: Q.5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendicular on the plane passes through…

A:

Q: rchasing Enormous State University's Business School is buying computers. The school has two models…

A:

Q: The graph below is the function f(x) 4 -5 -4 -3 -2 -1 1 2 Determine which one of the following rules…

A:

Q: which method is best to describe an infinite set?

A: The solution is given below

Q: Solve the differential equation. dy = 3x²y² dx -1 3 x + c +c for y # 0

A: We have to solve the differential equation

Q: Graph the logarithmic function. g(x) = 4log3 x Plot two points on the graph of the function, and…

A:

Q: Which of the following is the general solution of: y²dy + x³dx = 0 Select one: a. y³ x4 -k 3 4 O b.…

A:

Q: 1 (2x-3)4 4. S dx

A: Follow the procedure given below.

Q: Q2: Determine the solution of each of the following initial value problem s (a)y"-y-6y=2e-2x, y(0) =…

A:

Q: What is the exact value of cot(-870°)? 0-√3 0-1 01 O√√3

A: Use Trigonometric properties

Q: & Q6/(A)Evalute e*² dxdy. (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

A: In this question we have to find the Integration and partial derivative.

Q: Prove the following using the definition of a limit. n - 1 (a) lim n+on+1 (b) lim (2x² − 3) = −3 -…

A: For (a),    limn→∞ n-1n+1=limn→∞ 1-1n1+1n=limn→∞ 1-1nlimn→∞ 1+1n=11=1 For (b),    limx→ 02x2-3Plug…

Q: The plot below represents the function f(x) 8 7 6 5+ 4 3 1 2 3 4 5 2 1 -5 -4 -3 -2 -1 -1 -2+ Solve…

A: Given the graph of function f(x) is

Q: dy 2) x - 2y = x³ cos4x

A:

Q: 2. A 20-foot chain with density 4 lb/ft hangs off the roof of a building. How much work is required…

A: We are asked to find the workdone of the chain

Q: Find the solution of the differential equation that satisfies the given initial condition. 2t +…

A: The given differential equation is dudt=2t+sec2(t)2u⇒2u du=2t+sec2(t) dt ..................... (1)

Q: 2. Evaluate the following limits using algebraic techniques and limit theorems. x+1-2 (a) lim x→3…

A: To evaluate the following limits using algebraic techniques and limit theorems.a limx→3 x+1-23-xb…

Q: Write the negation for the following statement: If Juan is Rosa's father, then Miguel is her uncle…

A: Explanation of the answer is as follows

Q: An integral equation is an equation that contains an unknown function y(x) and an integral that…

A:

Q: 6. f 2x³sin (3x) dx

A:

Q: Area of a circle C. Use definite integration to show that the area enclosed by a circle of radius 1…

A:

Q: 9. If the cones below are similar, what is the ratio of the surface area of the larger cone to the…

A: Given two similar cones with the given dimensions To find the ratio of the surface area of the…

Q: 16 Let x= 3 Part A: Determine the reference angle of x.. Part B: Find the exact values of sin x, tan…

A: Use Trigonometric properties

Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: Express the lengths a, b, c, and d in the figure only in terms of the trigonometric ratios of 0. The…

A:

Q: A cylindrical column is (3m) high and (0.2m) radius, if the radius of the column increases at a rate…

A:

Q: BA)Find normal line and parallel plane to the function f(x, y, z)=x√yz + 6 At point (-3,1,4).

A:

Q: 12. Question* [ *2_4 On() + C ○ In ( x + 2) + C On (2/2) + C *+2

A: Solving the integral using method of partial fractions

Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A:

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Find the area enclosed between the curve y = x², and y = x + 6. Draw a rough sketch to get a picture…

A:

Q: 3. "sin 2x dx [²sti answer: dx answer: 2+4

A:

Q: Which of the following is the general solution of: y(x+1) 2 dy dx x Select one: O a. 2lny = x - ln x…

A: Given problem :- 2dydx=yx+1x

Q: Which of the following is the equation of the circle with center C and a point P on the circle, as…

A: Topic = Circle

Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: Determine the absolute maximum and minimum values of f(x) = x²e on x = [-5, 1].

A: See the answer below

Q: 5. A tank is full of water. Find the work required to pump the water out of the spout. Water weighs…

A: A tank is full of water. Find the work required to pump the water out of the spout .water weight is…

Q: Country A has an exponential growth rate of 4.3% per year. The population is currently 5,541,000,…

A: An exponential growth rate of 4.3% per yearThe population is currently 5,541,000 and the area of the…

Q: Question (1): Find dx² in terms of t for the following parametric equations: x = 3 + 4 cost; y = 1 -…

A: Topic = Derivative

Q: H.W: Evaluate the integral 1 1 +][20 1. 0 y x²exy dxdy

A:

Q: In the previous Problem Set question, we started looking at the position function s (t), the…

A: This question can be solved using the concept of first and second order derivatives.

Q: An open top box, with a square base is being designed. Material costs 126/cm². What is the largest…

A: According to question,Given data,Material costs = 12 cents/cm2