Given f(x) = 7x - 6; x < 6 x ≥ 6, 4x + 3 ; Find: lim x →6 f(x)

Q: An? + 15η n=23n – 5n2 – 17 1= 75. Σ

A:

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 8.…

A:

Q: A school's Phys Ed department is selling activewear to raise money for new equipment. They are…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [s sin5(t) cos6(t) dt

A:

Q: Calculate the integral R f(x,y)dA for f(x, y) = 10-4x²y and R: 0≤x≤ 2, -1 ≤ y ≤ 1.

A:

Q: Determine the intervals where the following functions are continuous. 3. f(x) = √25-x² 4. g(x)= x²-9

A: Continuity of a function:A function is continuous at a point if the function is defined at that…

Q: Given the function f(x)=x²-3 a. What is the domain for f(x) What is the range for f(x) b. Find f¹(x)…

A:

Q: Let à = ā ( – 5, — 4, 5) and b Find the projection of b onto a. proja b = (3, 1, 0). V

A:

Q: On the grid below, a) label the axes: x, y, and z b) plot the point P(0,4,0) c) draw the vector OR =…

A: Here we show that in three dimensions given point and vector.

Q: 2. Find the angle between the pair of planes. I 1:x+2y+3z +1=0, 2:3x +2y+z+2=0

A:

Q: Use Lagrange multipliers to find the points on the cone z² = x² + y² that are closest to the point…

A:

Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

A:

Q: 6. Given D(4, 0, 9), E(3, 7, -8), and F(-2, -5, 5), determine a) DF b) DE+EF (exact value)

A: Here we have given coordinates of points .Note 1:The coordinates of the two points in order to write…

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 5. R is the…

A:

Q: Solve the equation: sin(2x) - cos(2x) = 1 over the interval [0, 2π).

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A:

Q: 8 Σ 41 k=1 1/K

A:

Q: doesn't exist, state undefined. VA

A:

Q: Find three positive numbers whose sum is 120 and whose product is a maximum. (Enter your answers as…

A:

Q: Set the vectors u and v with the points so that v.u 5-¹ ( ) = = |o||૫| 3 cos

A: To find vectors u and v that satisfy the given condition, we can start by considering the…

Q: 19. f(x²+2x-4) dx 20. f, x100 21. (-²+31) dr 22. ·S' (1-80² +) 16v¹) du 100 dx

A:

Q: Q1/ Using method of least square, fit a relation of the y = ax" to the following data X y 2 144 3…

A:

Q: 21. If u and are collinear and the magnitude of u is 7 times the magnitude of v, write an expression…

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

Q: Sxcos 4x dx

A:

Q: 1. The graph of y=f(x) is shown below. Sketch the graph of its derivative function. y = f(x)

A: Given :-  The graph of  is shown below.

Q: Find the derivative of y = sin ¹(√2x) -

A:

Q: The half-life, T, for a particular radioactive element is 13 min. Find the decay rate of the…

A:

Q: d'y dx² when x = 2 and y = 4. If 4x² + y² = 32 then evaluate (Answer accurate to two decimal…

A: Given:We are required to find:

Q: x sin x lim x-0 1- cos x

A:

Q: a 2 Vax S S xe dy dix

A:

Q: ex If E(x) = x²e⁹ + In(π) O ee-1 + eº(ln(π) +e™) e²−1 + eº(ln(π) + eª) + ee−¹ e²+¹ + e²(1/ ln(π) +…

A:

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If doesn't…

A: This is question of calculusHere graph of function is given we have to find limit of given function…

Q: Classify the ser The series is extbook k=1 solutely cogent, conditionally convergent, or dive Use…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x² + 7)3/2 dx

A:

Q: State the domain for the function: h(x) = -4*-1 O (0,00) O (-∞, -1) (-00, 0) (-00,00) O l

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 [25 + 1 (1 − z)6 dz

A:

Q: For each of the following statements, state which are TRUE and which are FALSE. (Note: The symbol x…

A: Vector cross Product:If we have a vector , then the cross product of  with itself is:Vector Scaler…

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 1 x2 20x + 105 - dx

A:

Q: We will evaluate the following improper integral: ∞ I 1.₁0. dx (x2+3)2 First we will do the…

A:

Q: Q2// Evaluate (1) (3) dt.

A: To evaluate the following.Note: Since the student has posted multiple questions and does not mention…

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Suppose the position of an object moving horizontally after  seconds is given by the following…

Q: The area below the graph of f(x) = and above the x-axis, on the interval [0, 8], is to be rotated…

A:

Q: Find the slope of the tangent line to x³sin y + y - 4x = 3 when x=0.

A:

Q: 8 3 dx x +1 +2

A:

Q: Given the function h(x) = 3x 1 find the inverse function h¹(x). " 2x - 1'

A:

Q: Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as…

A:

Q: Find the integral. 2 sinx X dx

A: We are required to find:

Q: 3. Find the equation of the line or plane ( c) The line that is perpendicular to the line 2x-3y +1=0…

A: Find The Equation of the Line or Plane :c.) The line that is perpendicular to the line 2x – 3y + 1 =…

Q: Let f(x) = log6x and O True g(x)= For all x g(x). O False

A:

Q: Solve the given system of equations. Sy=11x + 20 y=-2+11x O (1,-1) no solution O (1,1) O (2, 2)

A: When, (Ratio of coefficient of x )=( ratio of coefficient of y)≠(ratio of constant terms)then,…