2. Using the appropriate method taught in class solve the following questions. a) i. Find the general solution of x²= y²-xy ii. Given that y = 1 when x = 1, show that the particular solution of the equation above is y=ex

Q: The area of a circle is decreasing at a rate of 547 square inches per second. At the time when the…

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

A:

Q: A retailer anticipates selling 5,200 units of its product at a uniform rate over the next year. Each…

A: We need to find a minimum inventory cost and number of units.

Q: What are the values of a and b?

A: To find the value of a and b for the exponential function G(x) = a b(x-2) + c, we need to use the…

Q: 2. Here, ƒ is the function given by f(x) = Find the limit, if it exists lim x→2 = arcsin (#) f(x) −…

A: The given function is To find

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A: The figure

Q: Compute  ∫ 1/√x2-3 dx

A: Answer- I have given step by step hand written solution in the explanation box. Explanation:Step…

Q: Each week, you have a total of 80 hours to split between x hours of work and y hours of leisure. The…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: 9)The correct answer is: "False". A normal vector to a line is perpendicular to that line, not…

Q: The world’s total consumption of natural gas was 1824 million tons oil equivalent (mtoe) in 1994.…

A: ### ConclusionHence, the natural gas reserves would have lasted for approximately 44 years under the…

Q: (a) Find the length of the curve y = x4 - 16 + 1 1 ≤ x ≤2 2x2

A: Since you have asked multiple question as per our policy, we will solve the first question for you.…

Q: Two forces, one of 35 pounds and the other 50 pounds, act on the same object. The angle between the…

A: The objective of this question is to find the magnitude of the resultant vector of two forces acting…

Q: lim x→0 /2x²+5x4 X

A: To find the limit of the function x2x2+5x4​​ ​​ as x approaches 0, let's simplify it first.…

Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = 7t + 10…

A: (a) Compare the  and  to get

Q: Suppose according to a large research poll in a certain year, 59% of respondents agreed that the…

A: a. To find the probability that a respondent agreed with both statements, we can use the formula for…

Q: The region bounded by the curve y = x² + 1 and the line y-x+3 is revolved about the x-axis to…

A: Given that the region bounded by the curves

Q: Find the derivative. p= secg+ csc q CSC q dp OA. = sec q+1 dq dp OB csc c cot c dq dp = sec dq dp…

A:

Q: Show that the sequence (1/nk) nen is convergent if and only if k ≥ 0, nEN and that the limit is 0…

A: The sequence is convergent if and only if k ≥ 0.Explanation:Let us analyze the given sequence step…

Q: Calculate the derivative of the following function. y = (x²+3x-2) dy dx

A:

Q: +a2+C √ √√a² + u²du = ½ (u√u² + a² + a²]n]u + √u² + a² 1) + T 114

A:

Q: Find an equation of the tangent line at x = a. 2 y=x-xia=2

A: y=x−x2;a=2Using the power ruleddxxn=nxn−1

Q: If a demand curve is modeled by p = 6- $2.80. find the consumer surplus when the selling price is…

A:

Q: PROBLEM 10 SHOW COMPLETE SOLUTION PLEASE

A: Horizontal displacement at D is 6.667mmExplanation:Step 1:Step 2:3)

Q: 3 3 2 + 5-4-3-2-1 -2- 1 2 3 4 3 Find the components of the vector 4c based on the vector shown. 4c=<…

A: The component form of a vector is given by  V =&lt;x,y&gt; where x is the horizontal distance the…

Q: 5. Use the definition of the derivative to find the slope of the tangent line to the curve y = 2x² -…

A: According to the definition of derivative we can write as follows Given Function

Q: Consider the following. 16 (2x - y) dA, where R is the region in the first quadrant enclosed by the…

A: To evaluate the integral   use the following substitution.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 3)Option C is correct answer  4)Option A is correct answer  Explanation:

Q: Do the following with the given information. 21 cos(x²) dx (a) Find the approximations Tg and Mg for…

A: The integral is given by:Formulas for the trapezoid rule and midpoint rule:Trapezoid rule:Midpoint…

Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = 7t+ 10…

A: Question No. Part (b):Given:The arc length function for a curve ,  where f is an increasing…

Q: Macmillan Learning Consider the given graph. 13 4.8 1.79 2.19 Let c = 2, L= 4, and e = 0.8. Select…

A: Consider the given graph.Let .To find the values of such that the following statement holds..

Q: o 3 π/2 31/2 2TT 511/2 The amplitude is¦ 5 3TT 711/2 The midline is ¦

A: To find the amplitude and midline of the following graph.

Q: Ex 1. Calculate the derivative i) x² + y² = 1. dy 33 dx for the following: ii) xy= x²+y.

A: To calculate the derivative  of the following.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

Q: I need help with each section of this problem.

A: A) Option A is correct answer  B)i)7ii)7 C) Option B is correct answerN(t7)= 9Explanation:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: If you have any doubt ask me comments section Pls like this answer Explanation:

Q: A man 6 ft tall walks with a speed of 8ft/s away from a streetlight that is on top of an 18 ft pole.…

A: A man 6ft tall walks with a speed of 8 ft/secStreet light height= 18 ft

Q: Match the magnitudes to their Cartesian vectors. S y↑ 4 U Y 2 R T -4 -2 2 2 4 x * PQ A. 5 B. √10 C.…

A: Given the data about the vectors.

Q: Evaluate | cos5 (9x) sin(9x) da

A: we use the method of substitution to evaluate the given integral.

Q: Use implicit differentiation to find dy/dx 2xy-y2 = 1

A:

Q: 4. Find the inverse of the function, s(t) = √3 - t² - 6

A: To find the inverse of a function y=f(x) , use the following steps .Let y= f(x)Swap the variables x…

Q: let f(x) = x^6 (x-7)^7/(x^2+7)^9 find the derivitive

A: The objective of this question is to find the derivative of the function f(x) = (x^6 * (x-7)^7) /…

Q: Continuous Compound Interest Jesaki Bank offers a 10-year CD that earns 2.5% compounded…

A: 5.8 yearsExplanation:Refer to the attached image for the step-by-step solution:

Q: Consider the function f(x) = 1.984x4 - 7.936x³ a. Locate the critical inputs on the interval [2.8,…

A: Please check below Answer Explanation of Question a), b), c),Explanation: Question a): Step 1: The…

Q: Compute the characteristic polynomial det (xI - A) of A. Show that landa = 5 is an eigenvalue of A.

A: 1)The characteristics polynomial  is x3−3x2−9x−52) λ=5is an eigen value of matrix AExplanation:

Q: What are the Test Statistic and P-Value?

A: a. The null and alternative hypotheses are, H0: μD​ ≥ 0 Ha: μD​ &lt; 0 where D = AFTER - BEFORE b.…

Q: THIS IS CALCULUS (integral) in ft and lb please find the work done by the force to stretch the…

A: The objective of this problem is to find the work done by the force to stretch a spring 7 inches…

Q: A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t…

A: (A) The function is discontinuous at t=t2​,t4​,t5​,t7​,t8​(B)limt→t6​​N(t)=5N(t6​)=5(C) Limit…

Q: pls help

A: Summary:- using basic mathematics Vector formulaExplanation:

Q: Question 1 Evaluate the limit below. If the limit does not exists, explain why. - (a) lim [In (1-x)…

A: To find:Evaluate the given limits.As we know-

Q: i need help please thanks

A: Question 1: The volume of the solid created by rotating the region bounded by y=x3,y=64, the x-axis,…