Q: For what value of a is the following function continuous at every x? x²-13, x<13 f(x)= 2ax, X≥13…

A:

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: Answer :(a)  62   (b)  423​Explanation:For any query please ask in the comment box.

Q: A real estate office manages an apartment complex with 40 units. When the rent is $1594 per month,…

A: A real estate office manages an apartment complex with 40 units. When the rent is $1594 per…

Q: #1: For which of the cases below do the given functions form a fundamental set of solutions of the…

A: Summary: - (i) does not form a fundamental set due to missing different exponent solutions and…

Q: Let f(x,y) = x3+2xy-2y2-10x. What are the critical points, and the saddle point(s), local…

A: the critical points are (−2,−1)and(35​,65​) local minimum at (-2, -1)  saddle points at (35​,65​)…

Q: (b) Consider the vector valued function r = (1 - t)i + (1 - t)i+ (1-t)k, 0≤t≤1. What curve does this…

A: The objective of the question is to identify the curve that is parametrized by the given vector…

Q: Answer can’t be decimals, please don’t give the decimal answer

A: Therefore, the murder took place approximately 1.886 hours before 1:30PM, which is about 1 hour and…

Q: To complete the process legible

A: The value of N is approximately 1.0895Explanation:Step 1:

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

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

Q: Find f'(x). f(x)=3x-2 Inx 7 f'(x)=

A: (.) The given function is,              we find derivative of given function.

Q: round to one decimal plce.

A: To solve this problem, use the formulas for continuous compounding and annual compounding to…

Q: Evaluate the integral using integration by parts √(x² + 2r) e³² dr

A:

Q: Given the function y=10+24x- 9x2-2x3, find the y coordinate for maximum value. OA. 107 OB. -102 OC.…

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Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: a. x=200b. P(x)=−0.1x2+35x−2340c. The marginal profit is: −0.2x+35d. The break-even points are x =…

Q: The velocity of water ft/s at the point of discharge is given by v = 14.640-√P, where P is the…

A: The velocity of water in​ ft/s at the point of discharge is given bywhere P is the pressure in…

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A:

Q: Express log,A, where A 14 4 3 , , in terms of the logarithms of prime numbers. log₁A = √20 7 148

A: Let me know if you have any doubts. Please rate my answer.Explanation:Step 1: Step 2: Step 3: Step…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

A:

Q: dy Find dx x=8e8 y = e 010

A:

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Answers:  ∙fxx​=25y2e5xy∙fyy​=25x2e5xy∙fxy​=5e5xy(1+5xy)∙fyx​=5e5xy(1+5xy)Explanation:Step 1:

Q: The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: Please see the explanation Explanation:Step 1:

Q: iv. Σ n=1 40n (2n-1)2 (2n+1)2

A: The given series

Q: ☐ 5. Evaluate 元 ○ 1 0 ○ Undefined 3π/2 tan(4x)dx ☐ 6. Evaluate 3/2 [ar/a Π sin(4x)dx ○ 1 ○ 0 4 ○ 4π

A: 5.) 06.) 0Explanation:

Q: Let : DCR² → R³ be a nice parametrization of surface S. We introduce the following notation: (a)…

A: Certainly! Here are the final answers for each part:(a) The formula ∣∣Tu×Tv∣∣2=EG−F2provides an…

Q: In this question you will find a general formula for the following: fx" (In(x))² dx where n is an…

A: The given integral is

Q: sine and cosine to which variable it should correspond to?

A: Clockwise Motion: If a particle moves clockwise around a circle, the angle it makes with the…

Q: Solve the given integral equation or integro-differential equation for y(t). y' (t) +27 (t-v)y(v)…

A: The objective of the question is to solve the given integro-differential equation for y(t). The…

Q: A nose cone for a space reentry vehicle is designed so that a cross section, taken x ft from the tip…

A:

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y=x²+5x,…

A:

Q: Find the area between the curve y = xex and the x-axis from x = 1 to x = 4. (Give an exact answer.…

A: Therefore, the required area is A=21​[e16−e] square units.Explanation:Step 1: Step 2: Step 3: Step…

Q: A spherical balloon is inflating with helium at a rate of 80x ft³/min. How fast is the balloon's…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Question 15a. The initial population is 450.b. The population of the colony at 5 hours is 1725.c.…

Q: #6 Find an passing through points (0,3,6), (1,3,9), (-5,3,-1). equation of the plane 72

A: Equation of the plane passing through the given points is y=3.Explanation:To find the equation of…

Q: Type an ordered pair. Use a comma to separate answers as needed. Round to the nearest hundredth as​…

A: The objective of this question is to find the point(s) of intersection of the two functions f(x) =…

Q: Determine which sets are vector spacesunder the given operations. For those that are not, list all…

A: The objective of the question is to determine whether the given set of all pairs of real numbers (x,…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: A 10-ft ladder is leaning against a house when its base starts to slide away.By the time the base is…

Q: 1) Find the equation of the tangent plane to a)z In (10x² + 2y² + 1) at P(0,0,0) b) z = f (x, y) =…

A: Ans 1)a. z = 0b. z = √2(4x+4-π)/8Explanation:

Q: I+t #1 Let r(t)=(x(t), y(t), z(t)) = (1-{², t- ½, ±). (a) Find the moment of time to and the point…

A: Image attached.Explanation:a)  b)

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Given that when air expands adiabatically (without gaining or losing heat), its pressure P and…

Q: #3: Solve the initial value problem "+2y-63y0, y(0) = y(0) 1, y'(0) = -1

A: Given initial value problem

Q: Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than…

A: Greatest Integer function: The greatest integer function is a function that results in the integer…

Q: The region between the lines y=2x, y=x/3 and x=3.

A: Detailed solution of the problem is given below. Explanation:Step 1: Step 2:

Q: * x f(x) f'(x) 1 3 1 2 -1 3 3 3 3 5 -2 4 -2 4 5 4 -2 The table above gives values of f and its…

A: a)we can estimate the value of f'(1.5) to be 1.b)Why must there be a value c for 1&lt;c&lt;3 for…

Q: Find f'(x). f(x) = -5 Inx+8x²-6 f'(x)=

A:

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(6rs, s² 7r). Use the table of…

A: We need to find .

Q: Exercise 1.- Calculate the mean value of the function f(x) = 3x² + ½ in the nterval [-2,2] and…

A: Mean Value Theorem for Integrals: If is continuous on the closed interval and differentiable on…

Q: (b) Compute the frequency and probability distribution of X. x P(X = x) Frequency 50 125 150 225 300…

A: The objective of the question is to compute the frequency and probability distribution of X, where X…