1. Let f(x)=√x-2 / x-4 . Show that f(x) has a removablediscotuiti t x=4   2. Given f(x)= √(x+1). use definition of derivative to find f(2)

Q: 11).  Find the length (in units) of the curve  y =  16 − x2  between  x = 0  and  x = 2.

A:

Q: Which of the following is the complete set of roots of the auxiliary equation for y'"-3y"+3y'-y=0. A…

A:

Q: A (В) -3 C -2 -1 O -1 -2 Graph of f' 1 Let f be a differentiable function with f(1) = 3. The graph…

A:

Q: Suppose that the function g is defined, for all real numbers, as follows. g(x) = -(x + 1)²+1 if-2…

A: find the function g(x) value at indicated x value.

Q: Use implicit differentiation to find d'y dx² d'y if 2x² - 3y² = 4. dx²

A:

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: To find average rate of change of given interval.

Q: 18 f(x) = x + 2x -1.find (fY(-1) A) S B) 2 앞 -IN

A: I have appended the formula used in solution part.

Q: For the function f(x) = 4x²-3x, evaluate and simplify the difference quotient. f(x+h)-f(x) h Check…

A:

Q: "determine by inspection whether the matrix is invertible."

A: Method of inspection tells us that for a Triangular matrix if all the elements of the main diagonal…

Q: ²₁ (3x² - 2x³)dx STT / ² 35 dx π/2 sin 2x 3+cos (2x) (2x³ + x)√2x² + 1 dx

A: As per the guidelines we can solve only one question at a time, so if you need more answers kindly…

Q: dr=-4 tdt, when t=0, r=ro 0 r

A: We can find the particular solution in the below steps.

Q: Given the function f(x) = 2x² + 4x + 10. Find the average rate of change of f from x = -4 to x = 3…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=-4

Q: dy 1. = dx xy-y+2x-2 xy+2y-x-2 y(-1) = -1

A:

Q: 1. y = 7-x² + 4x³, at x = -1 2. f(x) = x³ = 5x + 4, at x = 1 x 2 x²+4' at x = 2 3. y =

A:

Q: 6) g(n)= n² + 2; Find g(3)

A: Solve the given function

Q: 2x 2-2 2x - 4

A: Given  2x*2-22x-4

Q: a/the result of ооо . 2п О 1 -1 sin x dx

A:

Q: Find the center and radius of the circle. -([ center (x, y) = radius

A:

Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A: We need to graph function.

Q: 3. If f(x)=x²+ 10 sin x, show that there is a number e such that f(c)- 1000.

A:

Q: Jes − 4y = sinh x

A: Given: y''-4y=sinhx

Q: Interpret the average rate of change. U.S. education expenditure, as a percentage of total federal…

A: We have to compute the average rate of change.

Q: Sketch the graph of the function by first making a table of values. k(x) = ³√/-x X -27 -8 -1 0 1 8…

A: Let's sketch the graph of given function.

Q: (a) Graph the pdf. f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 0 0.025 0.025x+0.4 dx= (b) Calculate P(X ≤ 4). 2…

A:

Q: 12. Find a quadratic polynomial p(x) such that p(2) = 11, p'(2) = 13, p"(2) = 8.

A: Here we have to find the quadratic polynomial.

Q: 2) g(t)=3t+4; Find g(-3) 2) (200)- 5.2-3 Find - 4) w(x) = -3x - 4; Find w(7)

A:

Q: 11. If f(x) = cosh-1(5x), then f'(x) = A) 5 25x²+1 B) 5 25x²+1 C) 1 √25x²+1 D) 5 √√25x²-1 E)…

A:

Q: (D³5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4;y" (0) = 17 ubstitution and Elimination in Finding the…

A:

Q: We are first asked to find the average rate of change of R(t) over the intervals [t, t + h] with t =…

A:

Q: V The size of a balloon is changing with respect to time, such that the volume is given by V(t),…

A:

Q: 13-16 Use the definition of continuity and the properties of limits to show that the function is…

A: Use continuity concept

Q: Given the function f(x, y, z) = (sinx)(cosy)(ln z), find the total derivative with respect to x,…

A:

Q: Make a table of values for the equation. y = 1 + √x X 0 1 2 4 9 16 y Sketch a graph of the equation.

A: Consider the equation  y=1+x

Q: Determine the value of k such that x²y=1+x is a solution to (x²y + k) dx + x³dy=0

A: We have to find value of k.

Q: the previous first question is an error. the square root x is supposed to be next to the two not…

A:

Q: Q1 02 Q3 04 05 Q6 Q7 Q8 The trigonometric substitation to evaluate the integral (√16-dx in A)x=4sing…

A: Let's solve for infinite series sum.

Q: Eliminate the constant: y=x+c₁e¹+c₂ ·c₁₂e²+ c₂e²² Oy"-y=0 Oy"-y'=x Oy"-y=-x Oy"-y'+y=0

A:

Q: (a) Among ten randomly selected customers who want this type of racket, what is the probability that…

A: Follow the procedure given below .

Q: (6) Integrals 4=e*sinxdr

A: Topic:- application of integration

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 4.9²,…

A:

Q: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which…

A:

Q: Q 19 please

A: Topic: - sequence and series

Q: [1 0 -1 39

A: NOTE: Refresh your page if you can't see any equations. . use the diagonal matrix formula

Q: (e) y² + y x² + x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

A:

Q: b/ For the following function the range is y = √4-x

A: The range of a function is the set of it's possible output values ( y - values).

Q: lim x-0 05 02 O O 0 3x-sinx X

A: Given, limx→ 03x-sinxxLetL=limx→ 03x-sinxxL=limx→ 03xx-sinxxL=limx→ 03-sinxxTake separate…

Q: 12. Let f(x) = -x² and g(x) = 1/√x. and go f and state the domain of each composition. 13. Given…

A:

Q: Sketch the graph of the function by first making a table of value H(x) = |3x| X -3 -2 -1 0 1 2…

A: We can solve this as follows:

Q: 1 decide whether the intermediate value theorem applies to the given function on the indicated…

A:

Q: 01 The trigonometric A)x-4 zin substitation to evaluate the integral f√16- x³dx in B)x= 16 sind…

A: Given, ∫16-x2dx