In Exercises 33-38, find the value of (fog)' at the given value of x. 33. f(u) = u³ + 1, u = g(x) = √x, x = ズ +3 34. f(u) = = 1 - 1 - u = g(x) = И - 1 1 x = -1 x

Q: 12. A rectangle with base along the x-axis is inscribed in the top half of the ellipse: x² +4y² = 4…

A: Let, L be the length of rectangleW be the width of rectangle Let, (x,y) be the point that connects…

Q: Question 1 A function z(x, y) of x and y is given by the formula z = r² sin(30), where r and 0 are…

A: We are given the function z(x,y)=r2sin⁡(3θ), where rrr and θ are polar coordinates.  Starting at…

Q: please help figure out if this is a continuous function or not thank you so much

A:

Q: Find fxyx(x,y) for the function f(x,y) = x^4 -2x^2y^2+3xy^3+8y^4

A: Step 1: We have the given equation as,f(x,y)=x4−2x2y2+3xy3+8y4And we are supposed to find…

Q: Type here to search 4. Submit answer Practice similar Consider the integral 7 4 [² + (2x2 +3x+5) dx…

A: Ans right endpoints:Ans left endpoints:

Q: Differentiate the function. v = (√x+· v' = Enhanced Feedback 1 2 3

A: Step 1: Given function v=(x​+3x​1​)2. We have to find v'. (differentiation of the function v) Step…

Q: Find the arc length of the graph of the function over the indicated interval. y 1 = 23 √(x² + 1) ³/2…

A: Solve the integral: This integral is solvable either through substitution or using numerical…

Q: Do the following limits exist or not? Make sure to fully justify your answer. (3+i)zz²+2z (a) lim…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculus 1, I do not understand why the answer is 3 and 4

A: The problem is asking us to find the values of parameters a and b for the function f(x) = ax + 4b/x…

Q: In this problem, consider the curve y = f(x) = x²-7x+1. (a) For any real number a, the formula for…

A: Solution:

Q: 9. The region shown on the right is revolved around the y-axis. a) Setup an integral to find the…

A: Step 1: Step 2: Step 3: Step 4:

Q: 17. S In (2x+ 1) dx

A:

Q: GRADED EXERCISE 5: 1 3. A 6-ft man walks away from a 9-ft lamppost at a rate of ft/sec. If the light…

A: Problem 3: Related Rates ProblemWe are given:A 6 ft tall man walks away from a 9 ft tall lamppost at…

Q: Discussions > Week 6 Discussion You must post before seeing replies. Edit history will be available…

A: Trigonometric formulas or identities are mathematical equations that relate the angles and lengths…

Q: 4. Find, if any, the horizontal asymptotes of the following functions and use that information to…

A: (a)f(x)=x4+3x2+7x+10(x+1)4​ Degree of the numerator: 4 (after expansion)Degree of the denominator:…

Q: r(t) = Find the curvature when t = 0.5. Enter your answer in decimal form below, rounded off to two…

A: Step 1: Step 2: Step 3: Step 4:

Q: 100% sure experts solve it correct complete solutions need okk

A:

Q: = n P(h) = П e¯|h−yi|¸ i=1

A: Step 1:To determine the value of h* that maximizes P(h), let's approach this step-by-step:First,…

Q: Hello! Can you please help me with this Calculus problem? Thank you All the information given is…

A:

Q: 7. Let f be analytic in a domain D. Suppose that |f(z)| is constant on D, i.e., there is some c ER20…

A: That is a definite optimization problem. Now, let's proceed step by step for establishing the proof…

Q: If f(x)=(16sin(x))/(2x^2+16 sin(x)), what is f'(x)?

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

Q: hello! why 3 and 4?

A: The problem is asking us to find the values of a and b that make the function f(x) continuous. A…

Q: Question 2 1 pts The limit of f(x, y) = 2 x²y-xy² 5x3-2y³ as (x, y) approaches (0,0) along x = 0, y…

A:

Q: how could I solve the question that's written on paper? Thank you so much.

A:

Q: 3. S S 1 x²√25-x2 dx

A: Step 1:The given integral is ∫x225−x2​dx​.Let…

Q: showing the working, sketch the graph of each of the following functions. Note: you do not need to…

A: Step 1: Step 2: Step 3: Step 4:Hence the solution.

Q: #5, 11 Please help me with this Calculus problem. Thank you

A: To find the limit of (cos(x1​)) as ( x ) approaches infinity, we can analyze the behavior of the…

Q: Hi, i am having trouble with solving this problem and need help. Thank you.  A particle moves…

A: The position of the particle is given by:s=f(t)=t3−9t2+24t The first derivative of the position…

Q: Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 1. Solution must…

A: handwritten answer step by step in detailfeel free to ask for further queries!1:

Q: 4. Given y(3)(x)-y(2) (x) = ex. Find the general solution for y(x). (Hint: No need to find the value…

A:

Q: Marielle wants to purchase a container in which yo fit her school supplies . Should she measure…

A: Marielle should measure the capacity of the container. Capacity refers to the amount of space inside…

Q: Compute the derivative, f'(²), for ƒ(z) = (7 (1+2i)z (2-i)z²+9i 3

A:

Q:

A: //The answer above is a possible detailed explanation of the question mentioned and based…

Q: f(x)= 1/(13x+7) a) what is the slope of the funtions graph at x=5? slope= f'(5) b) What is equation…

A: Step 1:The given function is f(x)=13x+71​.Determine the…

Q: What is the value at the point?

A: Step 1:Step 2:Step 3:

Q: Find the particular solution of the differential equation: - 02 fy = 4 when x=1 ○ (E) Оу oy = 200…

A: Step 1: Step 2: Step 3: Step 4:

Q: Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 1. Solution must…

A: The approximate area using trapezoidal rule under the curve y(x) for a≤x≤bis given…

Q: Continue the symmetry group (in picture), write down the multiplication table, findthe five classes…

A: The Symmetry Group:What it is: The symmetry group of a square lattice, denoted as D4, describes all…

Q: Use limits to show that the function f (x) = x2 + 3 for x < 1 10 − x for 1 ≤ x ≤ 2 6x + x2 for x…

A: We determine whether the function f(x) is continuous at x = 1 and x = 2.  We need to use the…

Q: 8. Submit answer Practice similar Given that f"(x) = cos(x), f'(π/2) = 13 and f(π/2) = 12 find:…

A: To find the first derivative, we need to integrate the second derivative. The integral of cos(x) is…

Q: 17. The reduction formula 1 cos" x dx = cos"-1 x sin x + n is useful. Scos cos x dx = 18. The…

A: Question:17 Question:18

Q: 1 point Simplify: D 2+√√√3-12-√3³ 293 Insert Format Tools Table

A: The given expression is D2 + 312 - 12 - 332 + 293.Here, we have five terms: D2, 312, -12, 332, and…

Q: for f(x) = {|x+2|, x ≤ 1 and (x-2)2, x > 1, Is f continous at x=1?

A: Given function:f(x)={∣x+2∣(x−2)2​for x≤1for x>1​Step 1: Find f(1)For x≤1,f(x)=∣x+2∣.So, f(1) = |1…

Q: 1 √x(x² + 4x + 5) dx

A: To solve this integral, we can use the method of partial fraction decomposition. Let's go through…

Q: Solve for these

A: Here is the graph of the total cost function C(x)=20,000+20x−0.01x2As you can see:The function…

Q: Evaluate the integral. e50 sin(60) de Step 1 We will begin by letting u = sin(60) and dv=e50 de.…

A:

Q: 5. Let f(z) = z²+iz. Provide a 6-e proof that f is continuous at the point zo = i. Make sure to…

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve and show all calculations Exercise 231

A: (i) Graph. f1(x)=x-2 (linear)xy0-220 f2(x) = -x (linear)xy002-2  f3(x)=-x²+2x+4 (parabola)xy1-√5 or…

Q: Prove that there does not exist a continuous function f : R → R such that the equation f(x) = has…

A:

Q: Find formulas for f(g(x)) and g(f(x))  f(x) = (1 + x)/(1 - x) g(x) = x/(1 - x)

A: Step 1: Step 2: Step 3: Step 4: