Suppose that f'(x) = Answer: 8 + x² and F(x) = f(√). Find F'(1).

Q: Find the equation of the line through the y-intercept of y = x²¹ - 9x5 −7+ 9x² and the x-intercept…

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

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Q: 3) Solve the differential equaion (D2-4)y=e²-4

A: 3) The given differential equation D2-4y=e2x-4. We have to find the general solution of the…

Q: Let C be the curve f(x) = = the length of C, as follows: (2) Show that √1+ f'(x)² In(x) 2 1 2x x 2 4…

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Q: 1. Evaluate the indefinite integral f sinecose de 1+sin²0

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Q: Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

A: (4)   I=∫xsin(2x2)dx∫sinxdx=-cosx+cdxndx=nxn-1

Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: Two oil tankers crash in the Pacific Ocean. The spreading oil slick has a circular shape, and the…

A: We need to find radius and area.

Q: Determine the solution of the following differential equations. a) (D² +9) y = 81x² + 14cos3x

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Q: Find the length of the spiral r=0², 0≤0≤ √21. The length of the spiral is (Simplify your answer.)

A: Topic = Integration

Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: Find the slope of the tangent line to the curve x=t+ 1, y=2t² + t -1 at t= 1.

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Q: Let C be the curve f(x) = the length of C, as follows: = In(x) 2 4 between 1 and x = e. Calculate…

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Q: Given the absolute function graphed below, find the following: a) Domain: -12 Decreasing: 6 5 4 7 2…

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Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function:- y=2x

Q: The average cost per item to produce q items is given by a(g) 0.01g²-0.6q+17, for q>0. What is the…

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Q: 3. Write 2.734234 = 2.734234234... as an improper fraction.

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Q: 2. Find y' using implicit differentiation where x² + 4y² = 4

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Q: (x) = x4−256x+4 Enter the x-values of any local minima, maxima, and inflection points.

A: Given f(x) = x4−256x+4

Q: 5. Consider the polynomial graphed to the side. Answer the following questions using that function.…

A: We need to interpret the graph.

Q: Given that ƒ(x) = x² − 8x and g(x) = x + 5, find: a) (fog)( − 1)= b) (gof)( − 1)=

A: Given query is to find indicated composite function.

Q: Determine the solution of the following differential equation d) xy' + (1+x)y = ex sin(2x)

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Q: 27) Suppose y = f(x) and y = g(x) are continuous functions which intersect at x = 1, x = 4 and x = 7…

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Q: 11. -log/2x+3

A: To graph the given function. To state the domain and range. To identify the parent function and to…

Q: the graph of the piece-wise defined function below, f(x), find the following -3 -2 ain: ge: 6 4 3 27…

A: Given query is to find domain,range and interval of increasing and decreasing.

Q: Determine the 3 axis direction angles of force F in the direction of the vector AB when A = (3,1,8)…

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Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y =…

A: Please see the below picture for detailed solution.

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

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Q: Inverse Laplace transform, 1 (s²+1)(s-3) x^₁ { = Select one: True O False Give your reasons cos(t)…

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the inclined portion of the…

A: Given query is to find indicated angle.

Q: -7 -6 -5 -4 4 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6

A: To find the rang by the given graph.

Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .

Q: 2. Find an equation for the tangent line to the cycloid x = et + 3, y = t² et - 3et + 2 at the point…

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Q: Let C be a cylinder of radius 5 whose axis of rotation is the y-axis. Draw a graph of C and then…

A: We need to find equation of cylinder. As per Bartleby guidelines we can solve one question from…

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: 14. √9-x² x2 S dx

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Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

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Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

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Q: 7. Let f be a function defined for all real numbers x and for all real such that f'(x) < 0 and f"(x)…

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Q: Graph the circle given below by moving the key points: (x - 2)² + (y + 2)² = 16 To graph the circle,…

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Q: _f(x) = 2 X 1 - 2x

A: To solve the following problem

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y² = 4cx k

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Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

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Q: Consider the following. Find f'(t) and g'(t). f'(t) = g'(t) = f(t) = t sin(t) g(t) = 1 + t…

A: Let's find derivative of given function.

Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

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Q: Find the area under the given curve over the indicated interval. y=x²: [0, 5] The area under the…

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Q: Question 1: Find an explicit formula for the geometric sequence with a₁ = 10 and a4 = 80. a_n=…

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