lim Evaluate: √6 I 1 √9- x-2 == help (limits)

Q: help solve please

A: The objective of the question is to find the absolute maximum and minimum of the function 7x^2 on…

Q: Consider the function f(x)=1/x on the interval [1,11]. Find the average or mean slope of the…

A:

Q: Let y=tan(3x+4). Find the differential dy when x=4 and dx=0.3    Find the differential dy when…

A: Given y = tan(3x + 4 ) dy/dx = d ( tan(3x + 4)) /dxdy/dx = sec2 (3x + 4 ) (3)

Q: A particle moves in the xy-plane so that its velocity for time 20 is given by the parametric…

A: A particle moves in the xy-plane so that its velocity for time  ia given by the parametric equations…

Q: The yield to maturity (YTM) on 1-year zero-coupon bonds is 7% and the YTM on 2-year zeros is 8%. The…

A: The yield to maturity (YTM) on 1-year zero-coupon bonds is 7% and the YTM on 2-year zeros is 8%. The…

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: Help

A: ​Slope of tangent line, mT​=−23​​Explanation:Step 1:​Parametric curve {x=2cos(t)y=3sin(t)​ at the…

Q: Compute the inverse Laplace transform of F(s) = = f(t) = S-6 -4s $24 e (Notation: write u(t-c) for…

A:

Q: Explain how to solve this question in steps.

A: Option A is correct.  8Explanation:

Q: Find the interval of convergence of the power series, where k is a positive integer. kkl x/x Σ) n =…

A: Hence the final answer is : The interval of convergence is (−k,k)Explanation:To find the interval of…

Q: Let's consider the marginal cost function C'(x) = -0.04x + 25, where x represents the level of…

A: a. $ 1.40 per item b.  Cost function:C(x)=−0.02x2+25x+4840 c. $ 12628Explanation:Step 1: Find the…

Q: Hello, I am stuck on part d of this hydrostatic pressure problem. I have asked various tutors but…

A: a. Fshallow = 140,625 lbb. Fdeep = 401,250 lbc. Fside = 1,007,500 lbd. Fbottom = 1,261,250…

Q: 16. Let u=2i+2j and v=-i+√3j. Find the angle between these vectors. (Hint: Graph each.) A. 120…

A:

Q: Gizmo Warm-up A vector is a representation of something with both size, or magnitude, and direction.…

A: 1. The components of a is <-2, 4> 2. A. No, it does not change the components. B. The…

Q: Convert the Cartesian coordinate (3,-3) to polar coordinates, 0 0

A: P=(3,−3)(x,y)=(3,−3)

Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

A: Maximum= 9(9+82​) Minimum= −32Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 9

A: volume=2π/5Explanation:

Q: Find the open intervals where f (k) is concave up and where it is concave down. Enter your answer in…

A: Need to find out the intervals where the function is concave up and concave down.

Q: Let f(x, y) = 1 + 2x² - cos(5y). Find all critical points and classify them as local maxima, local…

A:

Q: Explain how to solve this question in steps.

A: Therefore, the correct answer is option a) k=8Explanation:Step 1: Note: Here we used the fact that…

Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: - Problem 1. This problem is about the ε n definition of a limit. (1) Write down the full definition…

A: The definition and proof are in the explanation section.Explanation:

Q: Annual sales of fountain pens in Littleville are 8,000 per year and are increasing by 9% per year.…

A: The annual sales of fountain pens are 8000 per year It is increasing at a rate of r=9%

Q: f(x) = 1½ x² - ²x² + 3 +5

A: (1) critical points= (0,5),(3​,411​),(−3​,411​)(2) Increasing on (−3​,0),(3​,∞)(3) Decreasing on…

Q: All graphs/sketches must be accompanied by all algebraic work as per the Curve Sketching Algorithm…

A: all answers are explained below in detail. Explanation:

Q: V) For the following exercises, use the given information about the polynomial graph to write the…

A: solution 1polynomial  f(x)=3−2​(x+2)(x−1)(x−3)solution 2polynomial…

Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: Find the critical points for the function 3 - f(x, y) = x³ + y³ − 6x² - 27y – 10 - and classify each…

A:

Q: Question 15 4b. Find f" (3) if f(x) = -5x³- 4x² - 3 00 O-159 0-98 0-30x-8

A:

Q: 1. Verify the following trigonometric identities. (a) sin x tan x = secx- cos x sinx sinx - Cos X…

A:

Q: 2. Use the Direct Comparison Test to determine if 1 + sinn converges or 10" diverges. Show all…

A: The objective of this question is to determine whether the given series converges or diverges using…

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: The velocity vector of a particle in the xy-plane is (√7, 9e³-3) for all real t. If the position of…

A: The velocity vector in the xy-plane is for all real t. If the position of theparticle at , then to…

Q: 3 2 e. 12 = y³ + x² •

A: Consider the function

Q: D The region D above lies between the two red lines and the red parabola y two ways. 2 = x². It can…

A: Given graph

Q: - off 12y² – 12x dA where D = {(x, y) |0 ≤ x ≤ 4, (x − 2)² ≤ y ≤ 6} = Evaluate D

A: As  per our guidelines we can answer only 1 question so kindly repost the remaining question. here i…

Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. cos 0= 7…

A: Ans:Detailed answers in explanation pleaseAny confusion please ask in clarification will provide…

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: 14. cot4 2x dx

A:

Q: Let R be the region in the first quadrant bounded by the graphs of y= 4 cos ()andy = (x-2)², as…

A:

Q: Find the gradient of the tangent to S(t): = 5t+7 /+2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

A: Given:Radius of a ball, R=16.Radius of round hole drilled, r=4.

Q: Let f(x) = f'(x) = = x+6 x +3 6

A:

Q: A calculator may not be used on the following questions. A particle moves in the xy-plane for values…

A: The value of t is 1.5, 2.5 and 3.5 only. Option a. is correct.Explanation:Steps and explanations are…

Q: VI) For the following exercises, find the y intercepts, th or slant asymptote of the functions. Use…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the equation of normal to the function f(x)=x3−3x+1�(�)=�3−3�+1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the function f(x) = x^3…

Q: In one town the annual consumption, b, of beef (in pounds per person) can be estimated by b = 32…

A: The objective of the question is to find the t-intercept of the function b = 32 - 0.5t and interpret…

Q: Evaluate the triple integral xyz² dv, where B is the rectangular box B = = {(x, y, z) | 0 ≤ x ≤ 1, −…

A: I=∭Bxyz2dV,B={(x,y,z)∣0≤x≤1,−1≤y≤3,0≤z≤2},

Q: Please answer parts a-c!

A: answer are given belowExplanation: Step 1: Step 2: Step 3: Step 4: