The domain of the logarithmic function y = log4 (x + 3) is Ox>0, XER Ox-3, x=R Oxz-3,TER OX>0, XER

Q: The desert temperature, H, oscillates daily between 41 °F at 4am and 81 °F at 4pm. Write a possible…

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Q: If f'(a)=, what is the slope of the line tangent to the graph of y = f(x) at the point (a, f(a))? O…

A: Given: the curve, y=fx.f'a=12

Q: Evaluate the integral. (Use C for the constant of integration.) The integral of 3ln(x)/(x…

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Q: Use any method to determine whether the series converges or diverges. 1 Σ 2 + 9-k k=1 The series…

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Q: Find given that cot (3x-2y)=2x-3y. dy da

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Q: The equation (y-x)=x(dy/dx) is Bernouli (y^n> 1) O linear in x O Homogenous O variable separable

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Q: sin 4x Does it exist? '. 1. Calculate lim 2. Find lim x-2 x-2 x-2 3. Find the asymptotes of - and…

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Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 3. The area is square units.

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Q: State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: Let's solve.

Q: 7-The probability that the event P(E) will accur is between a- 0<P(E) <1 b- 0≤P(E) ≤1 C- 0≤P(E) <1…

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Q: -3 Given the matrices A 7,4 3 0 for the matrix X in the equation X (A - 2B) = C. X = B -6 7], and…

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Q: · S₁ 12. r³ In r dr

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the equation of the line that satisfies the given conditions. (a) Write the equation in…

A: Here, given that x-intercept is (1,0) and slope is 3.

Q: Find the derivative of the function. 36 9 h(x) = 27x² 9 X

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Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

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Q: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

A: Note: Since, the student has mentioned a typing error in the function and want to replace the x's…

Q: Calculate 3 dx √√√√x(x + 1)²

A: Solve the definite integral

Q: C 5 4 3 2 1 1 1 2 3 4 5 To find the blue shaded area above, we would calculate: J. f(x) dx = area…

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Q: Given the matrices A ING B 3 4 the matrix X in the equation A (X + 3B) = C. 148.9 X = 9 and C= - [-3…

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Q: Determine an equation for the tangent to each function at the point with the given x-coordinate. 77…

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Q: Write the parametric equations of the line through the point P (-6, 4, 3), that is perpendicular to…

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Q: For numbers 14-16: Given: f(x) = |x-5| |x-5|dx 14. Find A. 3 B. 4 C.9/2 15. Find ₁ |x-5|dx A.15/4…

A: Above question is solved.

Q: 4) Find the point in which the line through the origin perpendicular to the plan 2x - y -z = 4 meets…

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Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Use the gradient of function for finding the directional derivative.

Q: Find the absolute maximum and absolute minimum values of z€

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: For this process we'll use the function f(x) = -x² + 6x - 7. You might find the following links…

A: Hope I answered as you required

Q: 4. i) Determine the values of a and b for fx) - -2x³ + ax + bx + 6 so that f'(-2) - 0 and f'(7) - 0.…

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Q: Seatwork I eliminate the antitrany constants of the following. simplify your answers. En close your…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. (a) Use the Binomial Theorem to expand and simplify (3a²-4b)6

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Between 3 seconds and 7 seconds the ball's average velocity is ???

Q: The curvature x(s) of C is defined as the magnitude of the rate of change of the unit tangent with…

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Q: -2 xs-1 @ Consider the function f(x)=x² -1<x<1 Ⓡ 2x-1 x21 Ⓒ a. Sketch f(x). b. Evaluate f(x) for x =…

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Q: ху 2x — 9 = 0; x = -3 =

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Q: Solve for y at x=2: (4x^3-6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

A: This question can be solved using the concept of differential equation.

Q: 8. How many terms are in the expansion of (2x - y)¹⁰? A. 9 B. 10 C. 11 D. 12

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Q: III.² f(x, y, z) dV as an iterated integral in six different ways, where E is the solid bounded by…

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Q: You are given the following points A to J A(4,2,0) B(2, 5, -1) E(0, -6, 7) F(5, -3, 7) G(-5, -1, 4)…

A: This question can be solved using the concept of vectors and three dimensional geometry.

Q: Find the area of the region enclosed by the curves y = x + 5, y² = = x, y = −1, and y = 2.

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Q: A stone is dropped off a 784-8 cliff. The height of the stone above the ground is given by the…

A: Using the fact that when stone hit the ground h=0

Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: See the answer below

Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4) ; y(2)=4 Use 2 decimal places

A: Here we have to solve the given differential equation

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+: 16

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Q: ii. Given g(x) = √x²+5 if x<-2 3-3x if x2-2

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Q: Q/Calculate limit statement lim sinx-cost XT 4 1-4

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Q: The interest on an account increases exponentially. If an initial investment of $1000 earns $120 in…

A: Rate of increase

Q: An open box of maximum volume is made from a square piece of material 24 centimeters on a side by…

A: The volume of a cuboid=length×width×height

Q: 3. Given the signalsy₁ [n] = [-1 3 1 2 1] and y₂[n] = [−2 - 1 3 Evaluate the output for a. _Y₂[n] +…

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Q: A stone is dropped off a 784-1 cliff. The height of the stone above the ground is given by the…

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Q: Find the angle (where 0° ≤0 ≤ 180°) between the following vectors. 0 u 9, 15 >, degrees 0 ||

A: here we have to find angle between two vector  use formula  cosθ = u*v/[u][v] [u] = 92 +(-15)2 [u] =…

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper…

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