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

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Q: Find the point at which the line (t) = (4, -5,-4)+t(-2, -1,5) intersects the xy plane.

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Q: Total marks 15 པ་ (i) Sketch the trace of the following curve on R2, (t) = (t2 cos(t), t² sin(t)), t…

A: 5(i)(ii)L≈107.68(iii)

Q: 2. Find the function f(x) given that f'(x) = 3cos (x) - 2sin(x) and f(π/6)=√3. Leave your answer in…

A: To find the function f(x), we need to integrate f'(x). f′(x)=3cos(x)−2sin(x) Integrating both sides,…

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Q: 1. Using the definition of the derivative, find f'(x). Then find f'(2), f'(0) and f'(3) when the…

A: Determine f′(x) using the definition of the derivative. Then, if the derivative exists, find…

Q: 2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below. a. Evaluate f(-3). If you…

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

Q: Q1: (8+17 Marks) (a) If A-[ a ] is a 3x3 matrix; such that a = i (4-2), find the values of diagonal…

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Q: 3. Consider the sequences of functions f₁: [-π, π] → R, sin(n²x) An(2) n f pointwise as (i) Find a…

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Q: Ministry of Higher Education & Scientific Research Babylon University College of Engineering - Al…

A: Question 3Question 5More explanation

Q: DETAILS MY NOTES SESSCALCET2 6.3.012. 6. [-/1 Points] Evaluate the integral. x-4 dx x² - 5x + 6 Need…

A: 67891011

Q: Please sketch questions 1, 2 and 6

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Q: 2 D Question 3 D For the right triangle below, find the measure of the angle marked with question…

A: Explanation :  Question:  3Note: we assumed unknown angle ? as θ.  Question:  4

Q: X 1 + 2 x 2 + 6×3=2 2x +5X2 +15x3 = 3 6x + 15×2 + 46x3 = 12

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Q: (3) (6 points) (a) (4 points) Find all vectors u in the yz-plane that have magnitude [u also are at…

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Q: "l Use implicit differentiation to find Əz and az ах 2 22 ay 3 x ² 2 - x², ² + 22² = 3 y 2 - 5=0…

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Q: #9

A: A function for a baby's weight, w(t), is provided to us, where t is the time in months. Calculating…

Q: Question 2 If A(t) = 3t² i − (t + 4); + (t² - 2t)k and B (t) = sinti +3ej-3 cos tk, find (A x B) at…

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Q: ansewer both questions in a very detailed manner . thanks!

A: First, we need to identify the integral that we are asked to solve. In this case, we have two…

Q: answer

A: From the given graph, When we see graph from left to right at x=-2 function is approaching -5 so,…

Q: Two cables tied together at Care loaded as shown. Given: Q = 130 lb. 30° C B Determine the range of…

A: The free-body diagram of the situation is as followsI hope this is helpful.

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Q: 36. Target Weight. The target weight w for an adult man of medium build is w(h) = 0.0728h² - 6.986h…

A: Step 1: Step 2: Step 3: Step 4:

Q: I need some help with this problem

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Q: Find the given derivative. Dx 7x 1 6 2 이에

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

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A: a)To draw a scatterplot, we simply need to plot the points as an ordered pair on a 2D Cartesian…

Q: 3 4/3 3213 + 8 for 1 ≤x≤8. Find the length of the curve y=x

A: To find the length of the curve  y=43​x4/3−83​x2/3+8 for 1≤x≤8, we need to compute the arc length…

Q: #49, #54

A: 49. f(x)=x−5x2−25​:The domain of a rational function excludes values of x that make the denominator…

Q: 2. Let f(x) = 2x² + 6. Find and completely simplify the rate of change on the interval [3,3+h]. (5…

A: We find the rate of change of f(x) = 2x2 + 6 on the interval [3, 3 + h] by using the formula for the…

Q: Good Day, Kindly assist me with this query.

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Q: chool Which of the following functions describes the graph of g(x)--2√9-x²+37 9 8 7 6 4 2…

A: The given function g(x) = -2√(9-x²) + 37 is a transformation of the basic square root function √x.…

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Q: 2. (i) Which of the following statements are true? Construct coun- terexamples for those that are…

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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: Hint: You may use the following derivative rules: ddxsin(x)=cos(x)  ddxcos(x)=−sin(x)  ddxln(x)=1x…

A: First, we need to find the derivative of the function y = 4sin(x). The derivative of sin(x) with…

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A: Detailed Explanation: Step 1: Understanding the Problem The problem involves a stone dropped into a…

Q: Suppose an oil spill covers a circular area and the radius, r, increases according to the graph…

A: a) We have to find the radius at t = 30 minutes of the oil spill.Now, according to the given graph,…

Q: Solve the given differential equations by using the principle of superposition (D2 − 1)y = sinh x

A: Step 1:Step 2:Step 3: Step 4:

Q: Use the information to find and compare Δy and dy. (Round your answers to four decimal places.) y =…

A: We are given the function:  y=x4+7 with   x=−3 and  Δx=dx=0.01. Step 1: Compute Δy  Δy=f(x+Δx)−f(x)…

Q: In Problems 17-26, solve the initial value problem. 17. dy = (1+ y²) tan x, y(0) = √√3

A: We used the separation of variables approach to solve the starting value differential equation in…

Q: Complete the description of the piecewise function graphed below. 6 5 -7-6-5-4-3-2-1 2 3 5 6 -1 -2…

A: Identified points from the graph: 1. First segment: Points: (−6, −3), (-4, 0), (-2, 3) 2. Second…

Q: 10:10 %01 目 YI HE1.PNG →> 1 + 3(8 - X) *w* =?? Example 7: Find Wn if M₁= -25 kN.m/m, M= -35 kN.m/m…

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Q: The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -4.…

A: To determine the continuity of  f(x)  at  x = -4 , let's analyze the graph: 1. Is  f(-4)  defined?-…

Q: Find the gradient of f for f(x, y, z) = x2yz - xyz3.

A: The gradient of a function is a vector that points in the direction of the greatest rate of increase…

Q: 5. Find the arc length of the curve y = 3x³/2 from x = 0 to x = 4.

A: Step 1: Step 2: Step 3: Step 4:

Q: need help on B

A: 1. Function Analysis:- Given function: f(x) = (x+3)2- Behavior of the function: This function is a…

Q: 4. Consider the initial value problem y' = 3x(y-1) 1/3, y(xo) = yo. (a) For what points (co, yo)…

A: (Hope this helps)

Q: Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace…

A: Step 1: Step 2:Step 3:Step 4: