For the function f(x)=4(2)^x -6, stars it's domain, range, and asymptote and then graph the function.  enter the domain and range in interval notation.  Domain:_____ Range:___ Asymptote: y=

Q: Evaluate cos (1/4) places)

A: cos(x)  We know that, we have a power series for cosine function,  cos(x) = 1-x22!…

Q: Use the cylindrical shells method to find the volume of the solid. 2 y = 2x, x= 2y, about the…

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Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x 4 f (9) = ? 1) 3) 1 6 4) 1…

A: Answer is given below.

Q: Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

A: We can find the determinant as below

Q: Question 11 Find the determinant of the matrix, A 2-13 B 2²-12λ + 13 C 22-122-13 D 2²+12+13 2-11 4 ]…

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Q: Function Point f(x) = tan² x 4 (a) Find an equation of the tangent line to the graph of -4x-T+1 X…

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Q: iii. lim (1-sin x) tan x x→ I COS cos((x - 1)) iv. lim I-0 r³3r

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Q: ven than L [₁ f(x) da = 7 and [° f (x) da : ^ [ f(x) dx = [₁ f (x) dx - [* f (x) de da A BIf If f(x)…

A: We can answer the question as below.

Q: 12. [ xv2 − xdx x√2

A: ∫x2-xdx

Q: Using Simpson's method ²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A:

Q: 6. f cos¹ 2 xdx

A: Given,  ∫ cos7 2xdx

Q: * Ꮴ COS S 0 ( , ) Ꮎ d ᏧᎾ |2

A: To evaluate the given definite integral by using the Fundamental Theorem of Calculus, Part 2.∫0π…

Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: Specify the domain of the function f(x)=sqrt2x+10   The domain of f(x)fx is x

A: Here we need to find out the domain of the given function.

Q: f and g are continuous on [a,b], then [* Grix)g(x)]dx = [(* F(x) dx)(√° xXx) dx) g(x) A True B)…

A: We will solve the problem

Q: Q:2. Use the first derivative test to find the intervals on which the function is f(x) = x4. which…

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Q: 2. Evaluate the following double integral by first reversing the order of integration. (6x-y) dx dy.

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Q: t, 15. y' + 3y = { ₁ 0, 0≤1≤2, t> 2 y (0) = 0

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Q: Setup the iterated triple integral that gives the volume of the solid. Do this by properly…

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Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: Calculate the present value for the following. Round the answers to the nearest cent Present Nominal…

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Q: f(x)= log (x-2) f(2.1)= log(2.1-2)= log 0.1 = -1 X 2.1 5 8 10 15 15)- 20 25 (20) 164 13 (x, f(x))…

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Q: In evaluating S₂²² 2 dx 2 XV x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A: We have to find the value of f(x) at given x.

Q: An investment of $18,000 was growing at 6.5% compounded semi-annually. a. Calculate the accumulated…

A: In this question we have to find the following given Compound Interest.

Q: Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper rounding…

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Q: ex = cosy

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Q: How long will it take for an investment to at least double its original amount if it is growing at…

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Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: -dx = 4 -2 X (A) True B) False m100

A:

Q: 6. Where does the normal line to the curve y = x - x² at the point (1, 0) intersect the curve a…

A: Topic = Functions

Q: 3. Use Stokes' Theorem to evaluate $ F dr, where F = (0, 0, 2), (1, 0, 2), (1, 1, 2), and (0, 1, 2),…

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Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) Oe2 0 0 O cos 2 O-sin 2

A: The given function is: fx,y=excosy   As we know that; The common derivative; ddxcosx=-sinx And…

Q: If f is continuous on A) True B False on [a,b], then Sº [ f(x a xf(x) dx = x f(x) dx

A: It will solve by part method integration  ∫u v dx = u∫v dx −∫u' (∫v dx) dx u is the function u(x) v…

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x 2…

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Q: Question R is the region bounded by the functions f(x) = -and g(x)=-. Find the area A of R. Enter an…

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Q: If you evaluate the integral expression 12x+1|dx the result is Blank 1 (use fraction or decimal in 2…

A: The integration of the integral is |2x+1| limit from -2 to 2.

Q: Find the augmented matrix for the following system of linear equations. 6x₁ + 8x3 = -8 5x₁7x2 + x3 =…

A: Given system, 6x1+8x3= -8 5x1-7x2+x3= -3 9x1+8x2-3x3=7

Q: 1. √2x+1 -15 2. So √x+1dx -0.5 3. 5x(1-2 4. fx√x-3 5. fx √x+1

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Q: If you evaluate the integral expression 12x-1|dx the result is Blank 1 (use fraction or decimal in 2…

A: Application of integration

Q: Question 36 To integrate x³ ex dx, we apply integration by parts and in the form u dv, dv is set as:…

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Q: Hewlett Plastics Inc. received a loan of $57,500.00 at 3.75% compounded quarterly to purchase…

A: We know formula for compounded interest:A=P1+rnntwhere A= Principal amount +total interest amount,…

Q: A bicycle with 20-inch diameter wheels is traveling at 17 mi/h. Find the angular speed of the wheels…

A: To find out angular speed and number of revolutions per minute.

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: We will use simple trigonometric formulae to solve this question.

Q: The value V of a machine t years after it is purchased is inversely proportional to the square root…

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Q: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…

Q: Find lim n→∞ n + cos(x) Jo ne + sin(x) So -dr.

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Q: 92%/ the first three terms in the malam Series of the funtion. f(x) = cos 22

A: We have to find the first three terms of the series.

Q: In evaluating 5 dx , is same as evaluating_lim_(in(f(x))). Determine the value of f(x) if x=4.6. -

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