Let f(x, y) vector (-1,-1) is 8 Then Vf= and Duf(-2,-4) in the direction of the

Q: Find the two possible values of X, A₁ and A2 satisfying the following determinantal equation: D= a -…

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Q: f(x) Given the graphs of f(x) = 2x and g(x) = x-1, sketch a graph of the combined function y = on…

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Q: Consider the equation: y²³ - 3xy + x 5 = 1 a) Calculate dy using implicit differentiation. dx b)…

A: y2 -3xy+ x5 = 1Finding dy/dx using implicit differentiation 2y dy/dx - 3x dy/dx - 3y + 5 x4 = 0dy/dx…

Q: Graph the given function and then find the specified limits. If necessary, state that the limit does…

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Q: limh→0 -2 0 √2+h-√√2 h 2 represents the derivative of f(x) = √ at x = a. What is a? a cannot be…

A: Given,Given derivative of f(x) at x=a is,

Q: Consider the function f given below.

A: The objective of this question is to determine the x-values at which the function f(x) = x² - 100x +…

Q: What is the volume of the solid generated by revolving the region bounded by y=4x-x² 4x-x² and y=x…

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Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

A: The objective of the question is to verify the height of the ball at two different times and then…

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: The objective of this question is to evaluate the line integral ∫C 10y dx + 3x dy over the…

Q: 2. f(x) = 4x³ + 2 tanx What is f'(x)? D O 12 x² + 2 sec ² x O 12x² - 2 cotx O 12 x² + 2 cotx

A: Given,.We know that,

Q: Find H′(x) for the given function.   ​H(x)=

A: The objective of this question is to find the derivative of the function H(x) = 7 √x + 8. The…

Q: Suppose that f has a domain of [5, 13] and a range of [6, 16]. f(x) + 2? (a) What are the domain and…

A: The function  has a domain  and a range .The aim is to find the domain and range of (i)  and (ii) .

Q: For the function g whose graph is shown, find a number a that satisfies the given description. (c) a…

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Q: 3. function, if exists. If not, justify. (1) 4. (1) Given the graph of a function y = f(x), find the…

A: The objective of the question is to find the limit of the given function as x approaches a certain…

Q: Find the indefinite integral. √1+3t dr Select one: O a. (31-2)√3t+1 9 O C. O b. 2(3-2)√√3t+1 +C 27…

A: Given Integral is as follows

Q: A farmer has 600m of fencing to use for building a sheep pen in the shape of a semicircleon top of a…

A: The objective of this problem is to find the dimensions of a field, which is a combination of a…

Q: Find f′(x) for the given function.   ​f(x)=5x2

A: The objective of the question is to find the derivative of the function f(x) = 5x^2. The derivative…

Q: The total revenue for a product is given by R(x) = 2200x - x² where x is the number of units sold.…

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Q: The production function of a firm is Q(x, y) = x+y, where x and y are the quantities employed of…

A: The objective of the question is to find the optimal quantities of productive factors x and y that…

Q: Let f(x) = (x+4)² Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f…

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Q: The function f is defined by f(x) = -x³- 4x + 5 and the point (-1, 10) is on the graph of f. If g is…

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Q: 2. In the following exercises express the integrand as a sum of partial fractions and evaluate the…

A: To express the integrand as a sum of partial fractions and to evaluate the integral.

Q: ind a simplified form of the difference quotient and (b) complete the following table. [(x)=-3x+2…

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Q: (b) The work done to stretch a spring by a length / is given by W = 0 EA L Determine W. xdx Where E…

A: Solution-

Q: Select all of the following tables which represent y as a function of x and are one-to-one. X 1 Y 5…

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Q: B. Find the general solution of the given differential equations and give the largest interval over…

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Q: Find the indefinite integral. Scos³4x dx Select one: a. O b. sin4x(3-sin²4x) 12 O C. O d. sin4x(3 +…

A: Given Information regarding the question As we know that

Q: why is it not +C  for (ln(3)+ln(5))/2

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Q: A population of insects can double in 22 days. After 72 days, how many times greater will the…

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Q: Find the limit. (If an answer does not exist, enter DNE.) X-9 lim X→9 x² 81 STEP 1: Factor the…

A: The objective of this question is to find the limit of the function (X-9)/(x² - 81) as X approaches…

Q: I have 600m of fencing to make a sheep pen, which will be in the shape of a semi circle on top of a…

A:

Q: What is the approximate value of log (812000 A 8000 B 162000 C 81000 D The value cannot be…

A: The given expression is

Q: Add and/or subtract and then simplify completely: X- Numerator preview: X- 6 x + 5 + 9 x + 8 Enter…

A:

Q: O 15 0 -3 3. For what value of p will the function be continuous everywhere? (-x² +15, x>2 x < 2 4x…

A: The objective of this question is to find the value of 'p' that makes the function f(x) continuous…

Q: c) Find f′(x) by determining limh→0f(x+h)−f(x)h. ​d) Find f′(1). This slope should match that of…

A: The objective of this question is to graph the function f(x) = 2x² + 3x - 2, draw a tangent line at…

Q: Calculate each of the following limits, or explain why it does not converge. iii. limx → 1  |x-1| /…

A: To Calculate the following limit.

Q: Find the limit. lim (2x² + 5x + 4) X→-3

A: Let assume,

Q: Let f(x) be the following piece wise function f(x) = ( x ² + => if 0 1 Show lim f(x) does not exist…

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Q: If y = = O O O O 4x x-3, then 12 (x-3) -12 (x-3) -12 (x−3)² 12 (x-3)² dy dx

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Q: Find the limit. (If the limit is infinite, enter '' or '-', as appropriate. If the limit does not…

A: Given Expression is as follows

Q: 3. Find the set of all points (x, y, z) that are twice as far from (3, 2,0) as from (3,2, 6).

A: Suppose the set has a point   Plug into the distance formula:   and   is and   is

Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

A: By using the graph of the function , to decide whether the value of the given quantity exists. If it…

Q: Find the value of the determinant D given by: a 6 3 d -4 D = c 6 9 9 where a = 2, b = 5, c = 12, d =…

A: The given determinant is

Q: Complete the description of the piecewise function graphed below. Sto { f(x) = { 5 -6-5-4-3-2-1 { 3…

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Q: Graph the line that goes through the point (-6, -4) with slope of 1. 10+ 8 6 4 2 10 -8 -6 -4 -2 -2…

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Q: Compute cos(0) given that tan(0) = 2 and < 0 < 3/2.

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Q: Find y' if y = sin² (5+7)

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Q: Find g′​(t) for the function ​g(t)=8/t3.

A: The objective of the question is to find the derivative of the function g(t) = 8/t^3.

Q: Find the average rate of change of g(x) = 8x² + 4 X4 on the interval [-2,4]

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Q: 1. Evaluate the indefinite integral using recognition method. a) xsin (x²) dx b) x²(x³ + 5)'dx c) √…

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