Find the derivative of the given function. 7x y= 30' y' = ☐ (Type an exact answer.)

Q: I am needing assitance with the problem in the attached image, 3.6.

A: The derivative of the function y = 7x4 + 2sin(x) is: y′ = 28x3 + 2cos(x)Explanation:Step 1: Identify…

Q: dw Use the chain rule to find dt

A:

Q: (a) Estimate the volume of the solid that lies below the surface z = xy and above the following…

A: the estimated volume of the solid is approximately 1452 cubic units.Explanation:step-1: Midpoint…

Q: Simplify 7log7(49】

A: The objective of the question is to simplify the given logarithmic expression 7*log7(49).

Q: Homework

A: ∫∫R​12xdA=1962​≈277.18Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Find the curvature of the function y = 3x5 at x= – 1. - Find the radius of curvature at x = -1.

A: Note: I rounded the final answers to 4 decimal places since there was no instruction as to how many…

Q: If f(x) = 2. e*, find f'(1).

A: given function

Q: Find the maximum volume of a rectangular box whose surface area is 1300 cm² and whose total edge…

A: The surface area of a rectangular box is given by: A=2lw+2lh+2wh The total edge length is given by:…

Q: A ball is thrown vertically upward from a height of 7 feet with an initial velocity of 70feet per…

A: The objective of this question is to find the maximum height the ball will reach when thrown upward…

Q: Consider the following function and express the relationship between a small change in x and the…

A: f(x)=e11x

Q: Kasia plants her watermelons in rows. Kasia's watermelon field has a perimeter of 71(1)/(3) yards…

A: The perimeter of the Kasia's watermelon field is :

Q: A company manufactures and sells x cameras per week. The weekly price-demand and cost equations are,…

A:

Q: I need help with question 4.

A: Approach to solving the question: Detailed explanation:

Q: I am needing assitance with the problem in the attached image, 3.4.

A: The equation of the line that is tangent to the graph of f(x)=2x2 and parallel to the line 6x−y+4=0…

Q: Find the indefinite integral and check the results by differentiation

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. 1 y = x² - 1½…

A:

Q: 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9≤ x²+ y² ≤25 by converting…

A: To evaluate the double integral  over the region by converting to polar coordinates.

Q: A curve with polar equation r = 42 6 sin(0) + 31 cos(0) y = has Cartesian equation:

A: cartesian equation is y=7−631x​Explanation:Step 1:given that r=6sinθ+31cosθ42​using cross…

Q: 1. Given the below graph of f(x) = f(x) = x2 x-2 a. As x-co, f(x)→ b. As x 2, f(x)→ x 3 4 5 6-7 C.…

A: We need to determine the values of f(x).

Q: find the limit

A: The objective of this question is to find the limit of the expression sin(x) - sin(x)cos(x) + 2 as x…

Q: [[ cos(x² + y²)dA R:{(x,y): x²+y² ≤1, y≥0}.

A: To find:- where

Q: 3. Assume x = p(t), y = q(t), and a <t≤b. Also, assume the curve does not cross itself and both…

A: Step 1:Given: x = p(t), y = q(t), and a≤t≤bWe have to write formula for area, arc length and surface…

Q: Find the area enclosed by the curve whose equation is given below: T1 0.3 sin 0

A:

Q: HELP ASAP

A: The answer is given below.Explanation:

Q: Only do Q2

A: The solution is given by: x=2−5​−23​t,y=21​−2t​,z=t Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A:

Q: Use the intermediate value theorem to determine whether the function f(x)=x3+x-4 has a root or not…

A: given f(x)=X3+x-4 and x= 1 and x= 2

Q: Homework

A: −63.22​Explanation:ANSWER : ​​

Q: A cylindral drill with radius 3 cm is used to bore a hole through the center of a sphere with radius…

A:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = √1-x2 f(x) = 1 + DO…

A: To find the Maclaurin series for f(x)=1−x2​1​, we use the binomial series expansion. By substituting…

Q: A company wants to have $30,000 at the beginning of each 6-month period for the next 3.5 years. If…

A: Solution-The given annuity is Annuity due because the payment is done beginning of each period.a)…

Q: A ball is thrown into the air and its position is given by ℎ(t)=-6.7t^2+70t+11 where ℎ is the height…

A: Maximum height =6712987​ meters Time =67350​Explanation:Approach to solving the question: Detailed…

Q: An isotope of lead decays according to the function ()-15 0.52 , where L is the mass of lead…

A:

Q: Given f(x) = x² + 3x + 8, find the average rate of change of f(x) over each of the following pairs…

A:

Q: Consider the function f(x)=5-3x^2,  -4≤ x ≤2. What is the  absolute maximum value? Where does this…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: series converge or both diverge. (1) Use the Limit Comparison Test to determine whether the series 1…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find the slope of the tangent line for the curve r = -7-7 cos 0 when 8 = 2

A:

Q: I am needing assitance with the problem in the attached image, 3.2.

A: DNE ( does not exist)Explanation:Step 1:To find the one-sided limit as x approaches 2π​+ from the…

Q: Find the value of the constants a and b for which the function f(x)= x<N (sin x, ax+b, x≥л is…

A: If the function is differentiable at

Q: In this problem you are asked to find a function that models a real-life situation and then use the…

A:

Q: evaluate the following limits x approaches infiniy square root (7+11xsqaured)/5+8x). and x…

A: Step 1:Step 2:

Q: Find the area between the curve of g(x) = 3x² · - 3 and the x-axis, from x = 1 to - x = 5.

A: Since in first question it is asking to use graphing display calculator so kindly mention if you…

Q: Model the curve with a sine function. (Note that the graph may or may not be drawn with the same…

A: Answer:In this problem curve of sinusoidal function is given to us and we have to find out the value…

Q: For which of the following limit expressions does L'Hospital's Rule not apply lim x-1 x 1 - lim…

A: The L'Hospital's Rule applies when the limit in the form of To check the following limits…

Q: dy dx = Let y = (3+ cos² x)8

A: please see the attached solution belowExplanation:I write all answers after simplification

Q: 2. ²x³√9+x²dx

A: Step 1:Step 2: Step 3: Step 4:

Q: Replace the letter A in the integral S Ae6x³-5x2 1 da so that the integral evaluates to 6x³-5x² +C.…

A: A=9x2−5xExplanation:Concept : if we differentiate this 21​e6x3−5x2+C we get Ae6x3−5x2And on…

Q: Find f(g(x)] and g[f(x)] for the given functions. f(x)=10x-8, g(x)=3-4x f(g(x)] = (Simplify your…

A: The given function is

Q: I need help with a step-by-step breakdown in laymens terms for the attached math problem.

A: Step by step analysis has been given below.  In canse of any doubts please do let me know…

Q: (6) Find дл ду : ye+sin(2)=423 (8 points)

A: Explanation is given below:Explanation: