Question 1. Find the area of the region enclosed by f(x)=2x² and y=12-2x. Sketch the graphs and indicate the intercepts clearly. Question 2. Suppose u and v are such that the sum of u and v is perpendicular to u. If v√√2u, proof that vis perpendicular to the sum of 2u and v =

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

A:

Q: Absorption of Drugs The concentration of a drug in grams/cubic centimeter (g/cm³) t min after it has…

A: In addressing the concentration C (t) of a drug injected into the bloodstream, given by:  we find…

Q: In Exercises 15-22, find dy/dx. (You can support your answer graphically.) 15. (x3+x+1)(x4 + x² + 1)…

A: Step 1: Step 2:Step 3:Step 4:

Q: 9. You receive the following prescription for the treatment of hyperuricemia in a child: Allopurinol…

A: First, we need to determine the total amount of Allopurinol needed for the prescription. The…

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: Subject Date: / الموافق find the y = موضوع الدرس التاريخ / Solution (clairant Equat PX+f(P) since…

A: Step 1: Step 2: Step 3: Step 4:

Q: If f(x)= tan(4x), what is f'(x) aand f'(4)?

A:

Q: First find f' and then find f. f"(x) = 10x²-6x³- 10x - 3, f'(1) = 2, f(1) = 9. f'(x) = f(x) = Submit…

A: Step 1: Step 2: Step 3: Step 4:

Q: An object is moving around the unit circle so its x and y coordinates change with time as x=cos(t)…

A: Answers:Detailed Explanation:

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

A:

Q: Question 2 Suppose that f(x) is a function such that f(0) = 0.491 and ƒ'(0) = 0.537, x = (3ƒ(x) + 2…

A: Thus, the correct answer is: 0.836

Q: dx dy dy Find and dt dt dx x=3t3ln(t), y = 8t² - 8t-2 dx II dt dy dt dy dx || = =

A: Let's find dtdx​, dtdy​, and dxdy​. Step 1: Differentiate x with respect to tx=3t−3ln(t)Taking the…

Q: 1) f(a)1 x+8° Find f^-1(-10).

A: Step 1:   It looks like you want to find the inverse of a function f(a)=x+8∘ and then evaluate the…

Q: f(x,y)=e^-x^2-y^2-2x+y   How would I find the maximum value

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

Q: id=108858 Instructions Please post your answers directly on the screen or inbox me directly. 时☆ 0 1.…

A: The double-angle identity for cosine is given by cos(2x) = cos^2(x) - sin^2(x). We can derive the…

Q: Let X have a standard gamma distribution with a = 6. Evaluate P(X≥ 7).

A: To solve the given problem:Let X be a random variable following a standard Gamma distribution with…

Q: Help explain step by step

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

Q: Hi, I am having trouble with this problem and I need help. Thank you.  The problem is: A particle…

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

Q: (2³, y³, 2³). Compute [1 Let E be the volume described by x² + y² + z² ≤ 4, and F = (x³, y³, z³).…

A:

Q: 10. Bonus: A dam has the shape shown, where x and y are in meters. The water level is at y = 0. The…

A:

Q: eview View Tell me > T AaBbCcDdEe AaBbCcDdEe |AaBbCcDdEe Normal No Spacing Table Paragr... Heading 1…

A:

Q: Don't use chat gpt It

A:

Q: If the borrower's income is $65,000 per year, and bank applies a 39% gross debt service ratio when…

A: Understanding Key Concepts 1. Gross Debt Service (GDS) Ratio The GDS ratio is a critical metric used…

Q: 4. √ x²e 5x dx = x2 5x 2x 15 5x . 1 2 5x 1 0 e5x 125

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

Q: Answer these two questions, please show work it would be greatly appreciated

A: Solution: 1To find the sides and angles of the triangle determined by the points…

Q: Look at the figure:The radius r measures 10cm and the radius R measures 20cm. The height h1 measures…

A: (c) If the height of the cylinder were to change from 25cm to 25.2cm and all other measurements…

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: Does there exist a function f that satisfies the following four properties simultaneously? • The…

A: Step 1:The problem asks for a functionf(x)that satisfies the following properties simultaneously: 1.…

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

A:

Q: a bowling ball with a mass of 9kg rest on an incline plane. the angle of inclination is 10 degrees.…

A: The force due to gravity (F) can be calculated using the formula:F=m×gwhere:m is the mass of the…

Q: If a confidence level of 94% is used to construct a confidence interval for the mean μ of a normal…

A: Confidence level of 94%. This means that 94% of the distribution is within the interval, leaving 6%…

Q: 1. S x+1 √x-5 dx

A: Step 1: Step 2: Step 3: Step 4:

Q: please help thank you

A: To compute the given limit:limx→−∞​(x2−2x​−x2+3x​)we can simplify it step by step:Step 1: Factor out…

Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A:

Q: Evaluate the spherical coordinate integral 2π 2π 1-cos IIT 0 0 p² sin ф dpdф dө

A:

Q: find the equation of the line through p (1,3,2) and Q(2,1,1). All answers are integers

A: We find the equation of the line passing through the points P(1, 3, 2) and Q(2, 1, 1) as follows:…

Q: Solve for these, it is a .001 not a 0.01

A:

Q: 9. Submit answer Practice similar Evaluate the indefinite integral: √ (6e" + 3 sec² u) du = Submit…

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

Q: solve it

A: Consider the provided function.f(x)=x12h(x)Consider the additional information as, h(−1)=2 and…

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: Please write it out and explain please and thank you!

A:

Q: ← 8:16 PM 1 Question 18 ▾ > > 7.21 4G K/S 4G 70 For this exercise, consider the polynomial shown…

A: Step 1:Step 2:

Q: sketching the following subset of C

A: The set  B = {x ∈ ℂ : |exp(z)| < 1}  can be analyzed as follows.  Step-by-Step Breakdown:1.…

Q: Please help me with these question. I am having trouble understanding what to do. When including the…

A:

Q: 8. Prove that the union of two domains is a domain if and only if they have at least one point in…

A: Here is the link for the MS Word and PDF file. Please copy the link and paste it in your…

Q: Prove or disprove the following statements.

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

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: 8. Given the polynomial function f(x) = 3.2x+2x³- 2.6x2 + 1.3x - 1.17 a) Find the absolute minimum…

A:

Q: Please show all steps

A: Question:  find the closest point.......

Q: Write the integrand of this line integral df and then evaluate the integral. [Hint: To find dx and…

A: 1. Identify P, Q, and R:From the given integral, determine the functions P, Q, and R that correspond…