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Q: For the function f(x) = 5x² + 4x, evaluate and simplify the difference quotient. f(x+h)-f(x) h 11

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: 1. Let f(x)=√x-2 / x-4 . Show that f(x) has a removablediscotuiti t x=4   2. Given f(x)= √(x+1).…

A: Here we have to find the derivative of a function at a point.

Q: 5. Rationalize the numerator to evaluate the limit. Be sure to show all your √³+49-7 h³ Q(²) = 0 lim…

A: First of all we will rationalize the numerator then we will apply the limits

Q: 5 y 2 AV -6-4-2 2 4 67 10 -2 -3 -4 Consider the function Y 13 4 f(x) -2 if x + 4 if 2x + 1 if -2x+6…

A: Find :- We have to find the graph when x is approching xo =8.2 from the right and also value of yo…

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Slope of a curve y=f(x) at the point (a,b) is given by dydxx=a.

Q: After Julia has driven for a quarter of an hour, she was 170 miles east from Denver. After driving…

A: Given that after Julia has driven for a quarter of an hour, she was 170 miles east from Denver. So,…

Q: Find: (D³ - 5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4; y" (0) = 17 1) 2) Roots of Auxiliary Equation…

A:

Q: Q 19 please

A: Topic: - sequence and series

Q: 3 0 -1 0 00 0 0 2 2 -4 1 25 11

A:

Q: Sesin x cos x - acos 2x sin 2x)dx

A:

Q: Use integration by parts to evaluate the definite integral Answer: te-t dt.

A: Given  that ∫06te-tdt.To evaluate : the definite integral.Solution :∫fxgxdx=fx∫gxdx-∫f'x∫gxdxdx…

Q: III. Find an angle between 0° and 27 that is coterminal with the given angle. 1.-21m 2. 5 3.- 51 12

A: To find coterminal angle we have to add or subtract 2nπ until the angle lies between 0 to 2π.

Q: Homework: Evaluate the following integrals: Please, expert, I do not have money and my financial…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: (6) Integrals 4=e*sinxdr

A: Topic:- application of integration

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: Evaluate the following, where the upper limit is pi/2 and the lower limit is 0: ∫7cos2θdθ

A: I have stated the used formulas in the solution

Q: 3 =-=—= x³. - 4x² + 16x + 14 with tangent lines parallel to the line 20x - 5y = 2. Find all points…

A:

Q: The concentration C (in percent) of a drug in a patient's bloodstream t hours after injection is…

A: Answer: 1: Given C(t)=20t66+t2   we have to find domain of C(t)

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 6000 + 10x + 0.15x². (a)…

A: NOTE: Refresh your page if you can't see any equations. . take x=100

Q: YA 10+ y=5x R y=10 y=x

A: Topic:- application of integration

Q: 11. Find the sum of the rectangle areas. 14 12 10 8 6 4 2 O 3 f(x)= 6 24 X 6 2

A:

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

A:

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

A:

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

A:

Q: Three slopes are given. For each slope, determine at which of the labeled points on the graph the…

A: In this question, we have to match the given options of slope to the given point on the graph.

Q: Consider the vector function r(t) = (t, t¹, t³) Compute r' (t) = (1, 4t³, 8t7 3 T(1) = ( r' (t) = (…

A: Recall:  T(t)=r'(t)r'(t)

Q: 4. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x.

A: Topic = Area

Q: A = [3 2 01 00 67 -2, B= -1 2 71 053 006

A:

Q: 6. Use the Sandwich Theorem to prove that lim x cos 7 = 0. X x-0

A:

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: 8 A population grows at a rate P'(t) = 200t e where P(t) is the population after t months. a. Find a…

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Q: In exercises 8 and 9, you are given the function f(x) = x³ - 3x + 1. Use this function to find each…

A:

Q: Solve the DE: dx +[xcoty-y]dy=0.

A:

Q: Determine whether the given differential equation is linear or nonlinear, and give its order.…

A: Linear Differential Equation: A differential Equation that is free from the product of dependent…

Q: Find A and B given f(x) = (3Ax² + 2Bx-x³ 3A - x-1 (5Bx + +4-3A x≤2 is differentiable everywhere. x>2

A: NOTE: Refresh your page if you can't see any equations. . it is given that the function is…

Q: Can you please provide a graph

A: We can draw the graph .

Q: 5x2 3x1 + 2x2 i. b₁ = 1, b₂ = 4 ii. b₁ = −2, b₂ = 5 -. x1 = b₁ b2

A:

Q: 1. Given that lim f(x) = 4 x-2 lim g(x) = -2 x12 find the limits that exist. If the limit does not…

A: Given limx→2fx=4, limx→2gx=-2 and limx→2hx=0

Q: 108 45. 765432 1 -1 y Chapter 2 Differentia f + 1 2 3 4 5 6 7 X 46. yd.

A:

Q: "classify the matrix as upper triangular, lower triangular, or diagonal, and decide by inspection…

A:

Q: A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1.…

A: Please see the below picture for detailed solution.

Q: lim x-0 3x-sinx X

A:

Q: 3. f(x) = x³ (4x - 2)

A: Here is the solution:

Q: -3x тебезх GS: y = (₁ e ²x DE y + y' - 64=0

A:

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

A:

Q: A. Identify the type and determine the linearity of the given differential equation and also give…

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Q: Q27) A)1+c B) Injx + c Sing+ Car X c)x+c dx D) xin x+c

A:

Q: find f(x) if f'(x) = 9 / (1 - x2) and f(sqrt 3) = 4

A:

Q: 7-10 Sketch the graph of a function f that is defined on R and continuous except for the stated…

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Q: Determine the domain and range for the graph below. f 3 2 H -5 -4 -3 -2 -1 a. Domain: b. Range: 1 -2…

A: We can find the domain and range in the below steps.