Given f(x)dx = 12 and g(x)dx = -2, find the following: S₂13³f(x) + 2g(x)]dx + f(x) dx O a.) 40 O b.) 10 OC) 5 O d.) 32

Q: 1 If sin(x) , and a is in quadrant IV, determine the exact value of each of the following. Use 5…

A: Sine positive 1st and 2nd quadrant And cos positive 1st and 4th quadrant And tan positive 1st and…

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Q: Create a problem where you have to find the inflection point that is equal to 1. Please show work.

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Q: Suppose the volume of water, Vm³, in a container satisfies the equation V = x³ e-x², where xm is the…

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Q: Find the Le 2t sin 2t + e3³t+²} following Laplace transform.

A: First shifting property L { eatf( t ) } = F( s- a ) L { sinat } = as2 + a2L { tn } = n!sn+1

Q: Find the reference angle 0' for the given angle 0. 0 = 312°

A: The angle is given by θ = 312° For this angle terminal side is in fourth quadrant. To determine: The…

Q: How many terms are required to ensure that the sum is accurate within 0.003?

A: NOTE: Refresh your page if you can't see any equations. . the given series is  the given sequence…

Q: 3. Evaluate the definite integral by using the Fundamental Theorem √√x -3x x² .dx

A: ∫16x-3xx2dx

Q: Question #22 In the following question, D(x) is the price (in dollars per unit) that consumers will…

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Q: Find the component form and the magnitude of the vector v. initial point (−5, 9) terminal point (23,…

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Q: Question #13 Let f(x,y)=3x²y³ +2x-3y² +5. Find the following...

A: fx,y=3x2y3+2x-3y2+5

Q: Fill in each box below with an integer or a reduced fraction. (a) log₂ 8 = 3 can be written in the…

A: To fill in each box with an integer or a reduced fraction. (a) log2 8=3 can be written in the form…

Q: 7. Question 7 Find the derivatives of the following functions: a. y = √x³ c. y = sin² (x²) b. y = x…

A: (a) y=x3

Q: a) What conditions on the functions g(t) and h(t) must be satisfied for the differential equation…

A: ( a ) Given differential equation g( t )dxdt + h( t )x = 0

Q: Find the distance between the given points. (-6, -4,5), (3, 2, 1) 11.5

A: given points (-6,-4,5),  (3,2,1)

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 8 [ (8…

A: Solve the integral by the defination

Q: 98 196x-x² 1. T Submit Answer 9√x²+y2 dydx =

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Q: component

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Q: 6. Solve: y"(t) = te', y(0)=0, y'(0)=1

A: Given data y"(t)=tet  y(0)=0, y'(0)=1

Q: A plane is travelling S 35° W at an airspeed (speed in still air) of 250 km/h. A wind of 95 km/h is…

A: Given that , Air speed = 250 km/h S35°W Wind speed = 95 km/h SE Determine the resultant ground…

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Q: use the vectors u= and v= to find the indicated quantity 3u * v= State whether the result is a…

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Q: Find a b. . a = 8i + j, b = i-4j+ k

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Q: Find / (+62+3) de + C

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Q: The volume of water in a tank at a particular time (measured in seconds) is given by V (t) = 5t(2 −…

A: The volume of water in a tank at a particular time (measured in seconds) is given by V (t) = 5t(2 −…

Q: tan (0) Rewrite the expression esc(0)sec(0) in terms of one trigonometric function

A: let G=tan(θ)csc(θ)sec(θ)

Q: Q10 Compute ²₁(2x - 1)dx

A:

Q: Q14 Find the equation of the tangent line to f(x) = 3lnx - 5x at x = 1.

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Q: When using the parallelogram rule to add two rectangular vector components, O all of these answers…

A: As you posted multiple questions I need to solve only first one.

Q: The slope of the 8.3 kN force F is specified as shown in the figure. Express F as a vector in terms…

A: Graph

Q: Question #11 √₁² (3x²+2x)dx Evaluate the following integral

A: Integration.

Q: a) What conditions on the functions g(t) and h(t) must be satisfied for the differential equation to…

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Q: Vector a is What is the component form ä? Enter your answer, rounded to the nearest hundredth, by…

A: Here the given vector in the magnitude and direction form as a→=r∠θ =30∠110°

Q: True or False, ₁x1-x²dx = 0 O False

A: FORMULAE-

Q: The set {xRx-2≥0 or − 3x > 1} can be expressed in interval notation as:

A:

Q: Evaluate fxy³dx + x²dy, where C' is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

A: Evaluate ∮xy5dx+x2dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

Q: Using the definition, find the derivative of f(x) 35x X

A: f(x)=1x3-x

Q: 3. DETAILS TANAPCALC10 2.4.076. 0/2 Submissions Used Find the indicated limit, if it exists. (If an…

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Q: 3) Find a vector function r(t) that represents the intersection of the surfaces: z = √√√x² + y² z =…

A: z=x2+y2 and z=y+1

Q: Find an equation of the plane. the plane through the points (4, 1, 4), (5, -8, 6), and (-4, -5, 1)…

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Q: 9. Question 9 a. b. x²+6x+8 lim x-4x²+2x-8 |2x-10| x-5x2+2x-15 lim OR OR x-16 lim: X-2 x³-8 lim X-3…

A: In the first problem,we factorise both denominator and numerator,then eliminate the common…

Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

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Q: The 54-kg homogeneous smooth sphere rests on the 20° incline A and bears against the smooth vertical…

A: From the given figure:     Let us first draw a free body diagram of the ball which involves two…

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A: a=-1, 6, 5b=7,4,1

Q: Question #10 following. Use the function f(x)=x²-x² - 6x +3 to answer the -32-2²-

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Q: Find the indefinite integral. (Use C for the constant of integration.) J 3 4x + 3 (x² + 3x)² dx

A: I=∫4x3+3x4+3x2dx

Q: 2. Use first principles to find the derivative of each. f(x) = √√2x − 1 a) b) y = x₁

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 3, 3), b = (−1,…

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Q: 7. The surface area of a cylinder is given by the formula SA = 2лr²+2лrh, where r represents the…

A: