Let f (x) = (x+6)7(4x − 1) (7x + 5)3 Use logarithmic differentiation to find the derivative of f. f'(x) = f (x)( A X+6 + B 4x-1 7x+5 C + where A = B = C =
Q: 3 Let x³ + 5y³ +5z³ - 5xyz + 581 = 0. Use partial derivatives to calculate point (—6, −5, —2). Əz…
A: Thanks for your patience.Kindly comment if you need any clarifications.
Q: 1.4.8. Prove that 2n for n Є N. n(n - 1)(n-2) 6
A:
Q: A vector with magnitude 6 points in a direction 370 degrees counterclockwise from the positive x…
A: Step 1: Given magnitude 6 points , and angle is 370 Step 2: X-component of velocity is |v| cos…
Q: Evaluate the limit, using L'Hôpital's Rule if necessary
A: As we directly applies the limit the it results in the fraction 0/0. So we use L'Hôpital's rule.To…
Q: The graphing calculator gives the area bounded by the curve of y = ln x, the x-axis and the lines x…
A: Step 1: Given : Value obtained from graphing calculator ∫14ln(x)dx=2.5452 Step 2: The composite…
Q: Let z(x, y) = = xy where x = r cos(70) & y r cos (70) & y = r sin(-90). მ მ- მე მყო მყ მთ მყ…
A:
Q: Find the critical points of the following function. f(x)= X x² +81 Select the correct choice below…
A: The critical points of a function occurs at points where first derivative of the function becomes…
Q: Please don't provide handwritten solution ....
A: The objective of this question is to approximate the integral of the function 2 cos x from 0 to π/2…
Q: Sketch the region enclosed by the given curves. 3 1 y=, y = 12x, y = -x, x>0 12 x y 8 2 2 4 8 y 2 6…
A: Let's plot the given graphs and find out the points of intersection for the given euqtions and shade…
Q: Evaluate the limit, using L'Hôpital's Rule if necessary
A:
Q: Find all the values of x for which the given series converges. Use interval notation with exact…
A: Step 1:Given a series here:S=n=1∑∞7n(n2+3)(−1)nxnStep 2:Using the Ratio Test:For the Ratio…
Q: = t6, y = t³, Let w(x, y, z) = −3xy arcsin(z) where x = z = 9t. dw Calculate by first finding dt dx…
A: Step 1: Find dx/dt Recall the power ruledxdxn=nxn−1 Using the power rule,dtdx=6t6−1dtdx=6t5 Step…
Q: 10
A: Detailed explanation:The calculation we've just gone through involves determining the consumer…
Q: The integral represents the volume of a solid. Describe the solid. 2x²² d 2πT dy 1+ y² 1 0≤ x ≤ 0≤ y…
A: (E) The solid is obtained by rotating the region 0≤x≤1+y21, 0≤y≤2 about the x-axis using…
Q: Find Lim- 3x-6 x-2 x²-4' A. ∞o C. 34 Select one: ос O B О А B. D. +13 010
A:
Q: 5
A: Step 1: Step 2: Step 3: Step 4:
Q: Solve the following equation. 3(112x) = 46,863 (Do not round until the final answer. Then round to…
A: The objective of this question is to solve the equation for the variable x. The equation given is…
Q: Two children are throwing a ball back-and-forth straight across the back seat of a car. The ball is…
A: From the vector representationtanθ=vcarvball,carWhere, θ−Directioninwhichballfly......relative to…
Q: The Venn Diagram below represents the percentage of students in a survey that like a genre of movie.…
A: Step 1 :The total percentage of all students is 100%.It is given that, 3% students said they like…
Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y2 x2+3 and above the…
A: If you have any problem let me know here in comment box for this thankyou.
Q: The position of an object moving in a straight line, in miles, can be modeled by the function s(t),…
A: Hope you got your answer, if any query then raise it.Kindly do rate this helpful.....Thank You
Q: 5- y 4 R3 2- 1+ 4 5 6 x 18. Let R be the region in the first and second quadrants between the graphs…
A: The area bounded between two polar curves is generally given…
Q: 25) Find: lim,(x²+ax - √x² + bx).
A:
Q: Forces with magnitudes of 900 pounds and 100 pounds act on a machine part at angles 30° and -45°,…
A:
Q: The trajectory of a bullet is given by x=vo cos(a)t, y = vo sin(a)t m where vo = 500, g = 9.8- m Ꭶ…
A: Please see the attached image for the solution.Note: sin4π=22 and cos4π=22 If there are…
Q: Let a and c be fixed positive numbers. Consider the two surfaces z = c2 — (-2)² (x² + y²) and : S₂ z…
A:
Q: For Question 9, Upload your work proving that ... : = -kt + [A] is the Zero-Order Integrated Rate…
A: **Zero-Order Reaction:**Given rate law:d[A]/dt = -kIntegrating both sides:∫d[A] = ∫-k dtThis gives…
Q: 2 83. The base of a solid is the region bounded by a portion of the graph of y = sin (플 x and the…
A:
Q: this is a calculus optimization problem show all steps and include the chart of the first derivative…
A: Step 1: Step 2:
Q: Determine the intervals on which the following function is concave up or concave down. Identify any…
A: If you have any questions let me know in comment box thankyou for your question.
Q: Consider the function f(t)=3t+5 and real number a = 2. a. Find and graph the area function A(x) =…
A: Step 1:Step 2: Step 3: Step 4: thanks....
Q: Write in logarithmic form. 5² = 25 OA. log 52=25 OB. log 255=2 OC. log 225=5 OD. log 525=2
A: The objective of the question is to convert the given exponential equation into logarithmic form.…
Q: PLS HELP ASAP ON ALL
A: 4. Given:f(x)=π2Getting the derivative, we have:f′(x)=dxd(π2)Since π is a constant, the derivative,…
Q: Please find the area of the region per the attached image.
A: Step 1:Region is bounded by f(x)=4x2,y=x, and y=1.Step 2:0 \\ & x=2 \sqrt{y}\\…
Q: draw a set of x-,y-, z- and axes and plot the following position vectors (including rectangular…
A:
Q: Write S SN = S = 1 8 = n=9 1 N-1 1 n(n-1) as a telescoping series and find its sum. N Try again Next…
A:
Q: Given the following velocity function of an object moving along a line, find the position function…
A: If you have any problem let me know here in comment box for this thankyou .
Q: do correctly , see pic for prob
A:
Q: t (minutes) 0 5 10 15 R(t) (people per minute) 100 100 75 55 55 55 5. During an evacuation drill,…
A:
Q: solve without using a calculator: sin(2arcsin(7/25))
A: To solve this without a calculator, we'll use the double-angle identity for sine: sin(2θ) =…
Q: 2. Find the particular solution for the following IVP differential equation: 2 (x² -2x)y "+5(x-1)y…
A:
Q: Verify the following identity: 2tan(e) sin(20)= sec2(e)
A: Thanks for your patience!Kindly comment if you need any further clarifications.
Q: PLS HELP ASAP ON ALL
A: Step 1:(6).Yes, when finding the derivative of a fraction where both the numerator and denominator…
Q: Evaluate the definite integral where the upper limit =7and the lower limit = 4 and f(x)=(2x^2+2)/…
A: To solve : ∫47((x)2x2+2)dxThe fundamental theorem of Calculus states that If f is a real-valued…
Q: typing
A: Private Saving (S): This is calculated as the portion of the GDP that is neither consumed (C) nor…
Q: 14. Sketch the graph of f(x) = -4x³ +18x² +3 by calculating: a. The y-intercept b. Minimum and…
A: Step 1: Step 2: Step 3: Step 4:
Q: 87. Suppose lim an = oo and an+1≥ an > 0 for all n ≥ 1. Which of the following statements must be…
A: Step 1:
Q: Use the substitution u=4x+5x to evaluate the following indefinite integral. (8x+5)√4 2 (8x+5)√4x²+5x…
A: Given:∫(8x+5)4x2+5xdxUsing substitution, we have:Let: u=4x2+5xLets find the of dx in u=4x2+5x, we…
Q: Using appropriate identities, determine the exact value of COS os (표).
A: Step 1: Step 2: Step 3: Step 4:
Q: PLS HELP ASAP ON ALL
A: Step 1:(a)f(x)=x+42xUsing the Quotient Rule:dxd[g(x)f(x)]=[g(x)]2g(x)f′(x)−f(x)g′(x)Using the…
Step by step
Solved in 2 steps with 3 images
- Determine whether each of the following statements is true or false, and explain why. The derivative of a sum is the sum of the derivatives.Determine whether each of the following statements is true or false, and explain why. The chain rule is used to take the derivative of a product of functions.Determine whether each of the following statements is true or false, and explain why. The derivative of a product is the product of the derivatives.