For the following function f and real number a, find f' (a). f(x)=8x+6; a = −3 f' (a)

Q: A company specializing in lubrication products for vintage motors produce two blended oils, Smaza…

A: Define the Variables:Let  x = liters of Smaza produced.Let  y = liters of Nefkov produced.…

Q: 3 2 1 y O a The graph of the function f is shown in the figure above. Which of the following…

A: Step 1:Step 2: Hence only 2nd option is correct.

Q: Question Consider the graph of f(x) below. Over what open interval is f'(x) positive? Give your…

A: If you have any problem let me know in the comment section thankyou.

Q: pleasd dont use chat gpt

A:

Q: Find the derivative of the function. m(t) = -4t (6t7 - 1)6

A:

Q: ds 5. Find a solution to this initial value problem: 3t2, s(0) = 5. dt 6. Find a solution to this…

A:

Q: 1. Given the vector field F(x, y, z) = -zi, verify the relation 1 VF(0,0,0) lim +0+ volume inside S…

A: The vector field is given by F(x, y, z) = -zi. The surface S is the surface of a cube centered at…

Q: (d) (4 points) Think of this sheet of paper as the plane containing the vectors a = (1,1,0) and b =…

A:

Q: Required information A telephone cable is clamped at A to the pole AB. The tension in the left-hand…

A:

Q: Please see image for question.

A: Let's denote the amount of dye in the body at time t as A(t). We are given that the rate of change…

Q: Find all solutions for v when v5 - 3q = 0.

A: We have given equation, v5−3q=0  To find all solutions for v, we need to solve the equation for v.…

Q: C = (2√3)/3 or (-2√3)/3 within the interval (-2,2)

A:

Q: Solve this

A:

Q: An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south…

A: Let's go through the solution step by step; Step 1: Given DataAirspeed of the airplane: 428 mph (due…

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: Solve π сах 1- / Sea costand x 2- π -πL {"e" -J xd ax sin(x) dx

A:

Q: Use Simpson's Rule with n= 4 subintervals to estimate the integral of the square root of x  dx  with…

A: Simpson's Rule is a numerical method used to approximate the definite integral of a function. It…

Q: 1 Find a vector parallel to the line defined by the parametric equations (x(t) = -2t y(t) == 1- 9t…

A: The parametric equations for the line are given as:  x(t)=−2t,y(t)=1−9t,z(t)=−1−t  Step 1: Find a…

Q: The graph of f(x) is given in the figure below. draw tangent lines to the graph at x=-3,x=-2,x=1,and…

A:

Q: Find the following limit or state that it does not exist. X-2 lim x-2 5x+6 - 4 Select the correct…

A: Final Answer: limx→2​5x+6​−4x−2​=58​ So, option A is correct and the exact answer is 58​ .

Q: Could you show why the answer is B Using polar coordinates and the area formula

A:

Q: Attempt 6: 1 out of 2 parts have been answered correctly. Calculate the Taylor polynomials T2(x) and…

A: To calculate the Taylor polynomials  T2​(x)  and  T3​(x)  centered at  x=7  for  f(x) = ln(x+1) , we…

Q: 1 1. Suppose we have the function f(x) = = and then we transform it by moving it four units to the…

A: If you have any problem let me know in the comment section thankyou.

Q: Find the volume of the parallelepiped determined by the vectors a = (3, 5, −1), ☎ = (0, 3, 1), c =…

A: Thevolumeoftheparallelepipeddeterminedbythevectorsa,b,cisgivenbytheabsolutevalueofthescalartriplepro…

Q: In the following exercises, evaluate each definite integral using the Fundamental Theorem of…

A: 170. To evaluate the integralget the antiderivative of each expressionx2 -> x3/3-3x ->…

Q: 1. One of the partial fractions for 2 4x²+x-9 x3+2x²-3x 2 x+1 a) x23 b) x 1½ c) x² d) x-1 x is

A: One of the partial fractions for x3+2x2−3x4x2+x−9​ is x+32​.(a) option is correct.

Q: Please sketch questions 1, 2 and 6

A:

Q: C, #14

A: We draw the common graph for part (a) and part (b) after solving part (b)   Therefore, the graph…

Q: #35

A: 29. Points: (-4, -2) and (-2, 1)Find the slope (m): m = (y2 - y1) / (x2 - x1)  m = (1 - (-2)) / (-2…

Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0. Compute the integral exactly

A: The integral we are trying to solve is ∫x^2 dx from 0 to 2. This is a definite integral because it…

Q: Differentiate #32, #35

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

Q: Find g[f(-7)]. f(x) = x² + 1; g(x)=-5x-1

A:

Q: help please

A:

Q: 3. Given the function h(x)=(x²+x-12 if x≤1 3-x if x>1' a) Graph the function h(x). Make the graph…

A: Part ABased on the given equation, the graph of the function should look like this: Desmos is used…

Q: Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x. h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3…

A: Given that : h(x)=(3−5x)3−7(3−5x)2+3(3−5x)−1and g(x)=3−5x We have h(x) as in form of f(x) and g(x)…

Q: The graph of y x² is shown on the grid. Graph y = = (x+3)² – 1. +10+ 69 8 7 5 4 9 432 6. 7 8 9 10 1…

A: Step 1: Identify function transformationsgiven parent function:y = |x| The vertical shifts will be:y…

Q: Use the Error Bound Formula  for the trapezoid Rule to determine N so that if the integreal of e-2x…

A: The Error Bound Formula for the Trapezoid Rule is given by: |K2|(b2-a2)n212 where: K2 is the maximum…

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = -4x + 5…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find the equation of the tangent line to the graph of the given function at the given value of x. 6…

A: Step 1: Step 2: Step 3:

Q: Solve the problem

A:

Q: 5. Construct a (2 × 2) matrix that performs the following linear transformations, in order, at once:…

A:

Q: 6. Find the angle to the nearest degree between the two planes given by x-2y+2=0 and 2x+3y-22-0

A:

Q: Please refer below

A: We find a piecewise function based on the given graph as follows.  Step 1: Identify the segmentsFrom…

Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0 is 8/3. The error bound is…

A: The problem is asking us to verify the given integral value and to confirm if the error bound is…

Q: Robbie Bearing Word Problems Angles name: Jocelyn date: 1/18 8K 2. A Delta airplane and an SouthWest…

A: First, we need to find the angle between the two planes. This can be found by subtracting the…

Q: 21. First-Order Constant-Coefficient Equations. a. Substituting y = ert, find the auxiliary equation…

A: a. The given first-order linear differential equation is :ay′+by=0where a and b are constants with…

Q: 3. Compute the profit corresponding to 12,000 units. 5. A rectangular box is to have a square base…

A: STEP 1 : ​​  STEP 2 : ​​   STEP 3 : ​​ STEP 4 : ​​ STEP 5 : ​​

Q: Find a vector (u) with magnitude 7 in the direction of v = (2,4) Give EXACT answer. You do NOT have…

A:

Q: i attached the question and the way i solved it, i believe i made an error, could you point it out…

A: I am assuming you started with the divergence theorem to calculate the flux and then you did a…

Q: dy Find for y = xetanh 3x + cosh 1 x²+10 dx Find S 1−sinh 2 x cosh x 2 dx

A: