Given that 4−4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f(x)=x4−5x3−2x2+176x−320

Q: Total marks 15 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima…

A: 5 (i)(ii)6(i)

Q: Find the distance from the point (-9, -3, 0) to the line ä(t) = (−4, 1, −1)t + (0, 1, −3) .

A:

Q: 2 Graph of h 6. The graph of the function h is given in the xy-plane. Which of the following…

A:

Q: Evaluate the integral by using a substitution prior to integration by parts. 7) sin (In (6x)) dx

A: Step 1: Solving Without the Factor of 7We must assess the integral:…

Q: I need expert handwritten solution.to this integral

A:

Q: Use the method of disks to find the volume of the solid that is obtained when the region under the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the first and second derivatives of the function. f(u) = √7 3u − 3 f'(u) 2 (7-34) (½) f"(u) = 9…

A:

Q: Solve this differential equation: dy 0.05y(900 - y) dt y(0) = 2 y(t) =

A: If you have any help please let me know in comment box thankyou.

Q: 2. f(x)=√7-x 4. A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: Step 1: Step 2:Step 3: Step 4:

Q: Explain how to solve all solutions of y"(x)+ay'(x)+by(x)=0 when the Characteristic Equation…

A: The characteristic equation of the second-order linear differential equation y''(x) + ay'(x) + by(x)…

Q: 3. (i) Consider a mapping F: RN Rm. Explain in your own words the relationship between the existence…

A: #####(i)To understand the relationship between the existence of all partial derivatives of a mapping…

Q: 1) let X: N R be a sequence and let Y: N+R be the squence obtained from x by di scarding the first…

A:

Q: on donne f(x) da fonction derive dhe do fonction fcsos calcule f'(x) orans chacun des Cas sulants: 3…

A: 1.  f(x)=5x−11 Derivative:  f′(x)=dxd​(5x−11)=5    2.  f(x)=−x3 Derivative: f′(x)=dxd​(−x3)=−3x2…

Q: 3. If the total revenue received from the sale of x items is given by R(x)=30ln (2x+1), While the…

A: Let's solve each part step by step.Given:Revenue function: R(x)=30ln(2x+1)Cost function: C(x)=2x​(a)…

Q: The answer is A Show me how to do it

A: Since the Laplace transform of e3t is only defined for s>3, the solution is valid in this region:…

Q: O să vă imaginea și date compune o problemă 42 31 1 0 9

A:

Q: Find a parameterization for a circle of radius 4 with center (-4,-6,-3) in a plane parallel to the…

A: Solution:   Thank you!!! and rate helpful if it is really helpful to you.

Q: Question 2 (A partial differential equation). The diffusion equation де Ət = 82 с მx2 where D is a…

A: 3. Calculate ∂c/∂t (Partial Derivative with Respect to…

Q: Consider the graphs of y = f(x) and y = g(x) in the given diagram y= f(x). y = g(x) Evaluate…

A: Step 1:Step 2:Step 3:Step 4:

Q: Q6. A fossil piece has been found in Alberta that contains 34% of C14 in it. What is the age of this…

A: Detailed explanation:Understanding radiocarbon datingIn archaeology and geology, radiocarbon dating…

Q: The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at…

A: From the given graph, When x goes to -3 from left hand side f(x) approached 1 So, limx→3−​f(x)=1…

Q: This question builds on an earlier problem. The randomized numbers may have changed, but have your…

A:

Q: Qize f(x) x + 2x2 - 2 x² + 4x² - 4 Solve the equation using Newton Raphson

A: Let's solve the system step-by-step using the Newton-Raphson method. # Given system of…

Q: The graph of the function f in the figure below consists of line segments and a semicircle. Let g be…

A: First, we need to understand the problem. The function g(x) is defined as the integral of another…

Q: 6 5 4 3 2 1 -5 -4-3-2-1 1 5 6 -1 23 -2 -3 -4 -5 The graph above is a transformation of the function…

A: Step 1: Understand the Basic The general form of an absolute value function is: y=a∣x−h∣+k• h:…

Q: 4.2 Product and Quotient Rules 1. Use the product and/or quotient rule to find the derivative of…

A:

Q: 3 Evaluate the double integral 10 y√x dy dx. First sketch the area of the integral involved, then…

A: Please feel free to comment if you have any questions

Q: Find the derivative of the following function. -2 y = (3x+7)³

A: Given Function: y=(3x5+7)3−2​ Rewrite the Function Rewriting the function using exponent notation:…

Q: 4. Verify that V X (aẢ) = (Va) XẢ + aV X Ả where Ả = xyz(x + y + 2) A and a = 3xy + 4zx by carrying…

A: Step 1:Step 2: Step 3: Step 4:

Q: Question 1 (Implicit differentiation). Use implicit differentiation to find Əz/Əx and Əz/ǝy. (a)…

A: a) x² + 2y² + 3z² = 1 ∂z/∂x:Differentiate with respect to x, treating y as a constant and z as a…

Q: 1. (i) (ii) which are not. What does it mean to say that a set ECR2 is closed? [1 Mark] Identify…

A: Approach to solving the question:(i) Definition of a Closed Set in  (R2)A set (E⊆R2) is closed if it…

Q: Let (5,3,-7) and = (2, -3, -6). = Compute the following: u× u = -4(u xv) ux (-4v) (+v) × v=

A:

Q: 20. Find the general solution to the differential equation y(4) − 8y′′ + 16y = 0A. y = c1e^2x +…

A: To find the general solution of the differential equation y^(4) - 8y'' + 16y = 0, we'll follow these…

Q: i circled the correct answer and i did most of the question but i cant figure out how to add both…

A:

Q: "Solve the following differential equation using the Operator Method and the Determinant Method:"…

A:

Q: 3.1 Limits 1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice. x+3° x+3* x+3 (a)…

A: In calculus, the limit of a function at a certain point refers to the value that the function…

Q: could you please show the computation of this by wires

A:

Q: Solve please and thanks!

A: a) Life expectancy of a jawbreakerWe can solve this by finding the value of t when we equate r(t) =…

Q: For number 9 The answer is A Could you show me how

A:

Q: Draw the unit circle and plot the point P=(8,2). Observe there are TWO lines tangent to the circle…

A:

Q: Determine the intervals on which the following function is continuous. f(x) = x - 5x + 6 2 X-9 On…

A: The given function is:f(x)=x2−9x2−5x+6​ Find the values where the denominator is…

Q: (x^2+y^2)dx+(x^2-xy)dy=0  , Determine if the equation is homogeneous.

A: A differential equation of the form  M(x,y)dx+N(x,y)dy=0 is homogeneous if both M(x, y) and N(x, y)…

Q: Evaluate the limit, and show your answer to 4 decimals if necessary. Iz² - y²z lim (x,y,z)>(9,6,4)…

A: Step 1: lim(x,y,z)→(9,6,4)​xyz−1xz2−y2z​ We substitute x=9,y=6, and z=4 directly into the…

Q: Question 8 Use the graph of f to evaluate the following: 6 f(x) 5 4 3 2 1 -1 1 2 3 4 5 -1 t The…

A:

Q: mv2 The centripetal force of an object of mass m is given by F (r) = rotation and r is the distance…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: 2.6 Applications: Growth and Decay; Mathematics of Finances 1. A couple wants to have $50,000 in 5…

A: Here are the calculations;(b) Interest Earned:Interest=A−PInterest=50000−36759.66Interest≈13240.34…

Q: Evaluate the integral 7 x²√22-16 dx

A:

Q: 4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute…

A: a) 13 miles.b) 12 miles.c) 24 miles.d) 10 miles

Q: Let f(x) = √√x+3 and g(x) = 6x − 2. Find each of the following composite functions and state the…

A: