Evaluate the definite integral. 7 7 4 X X-5 X X-5 dx = dx

Q: 8. Find 7. || = 23 55° || = 31

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Q: Let f(x) f'(2)= | ƒ' (6)= Lomm 7 Vx Evaluate each of the following: I

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Q: Find the area between the curve y = y 2.0 1.5 1.0 0.5 1 square units y = 2 1 x5/4 1 X5/4 3 and the…

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Q: graph to the left (in black) gives f(x), while the graph to the right gives g(x) (which is constant…

A: ddxfgxx=30

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Q: The initial and terminal points of AB are given below. Write the vector in component form. A (-5, 2)…

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Q: Solve the given differential equation by separation of variables. dx + e³xdy = 0

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Q: First make a substitution and then use integration by parts to evaluate the integral Se 6x5ex² da…

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Q: a) lim (-2x¹) = 8118 ) lim (-2x¹) = xx ) lim -√x = 118

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Q: Question 13 Given f(x) = 3x + 7 9x² 5 V A) Find lim f(x) ° x →∞ B) Find lim f(x) ⁰ x118 " 2 pts

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Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the…

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Q: Consider the series Find S4 and S4= S8 = S8 n=1 3 n+7 43 Let Sn be the n-th partial sum; that is, Sn…

A: Given:  We have  Sn = 3/n+ 7  , limit series n =1 to infinity

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

A: To find:  the Direction in which the maximum rate of change occurs for f(x,y)=3xsin(xy) at point…

Q: Evaluate the integral. (Use C for the constant of integration.) [7. 7z³e² dz

A: ∫7z3ezdz

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A: r=135 in h=168 in Rate of increase of radius=1.2 in/sec Rate of decrease of height=-2.8 in/sec

Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: Find the derivative of f(x)=x²-3x² +9 final answer with no negative efonents in

A: We know that the derivative of e^(mx) is me^(mx)

Q: 1. 2. Find f'(x) and f"(x). Determine the following Domain a. b. x and y intercepts t. The critical…

A: derivative calculated by differentiation with respect to x

Q: Please answer and explain

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin(10x) sin(cos(10x))…

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Q: Perform the indicated division and write the quotient and remainder in the provided blanks. 5x²…

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Q: Find the derivative of f(x)=; in final answer -2x 13/4x² +11x with no negative exponents

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Q: a. AOR: y = 0 b. AOR: x=0 c. AOR : x = 2

A: Since you posted multiple subparts, I need to solve only first three subparts.

Q: Evaluate the line integral JC 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve…

A: We have, integral 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve connecting (1, 2, 4)…

Q: Find the volume of the solid that lies below the paraboloid using Double integrals in Polar…

A: This is question of calculus Here we have to find volume using double integration method  Curve…

Q: Solve the given differential equation by separation of variables. (ex + 1)²e-y dx + (ex + 1)4e¯x dy…

A: ey+12e-y dx + ex+14e-x dy = 0

Q: I have a problem that I really need help with:  Find f(g(4)) if f(x)=x^3/2 and g(x)=1-3x^2 I know…

A: f(x)=x3/2 , g(x)=1-3x2 We have to find f(g(4))

Q: Given f(x) = = 3x + 7 √9x² A) Find lim f(x) ° x48 5 B) Find lim f(x) o x118 "

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Q: The demand function for device model VRS738 is given by p(x) = 520 0.65x", where p is the unit price…

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Q: Given: (x is number of items) Demand function: d(x) = 352.8 -0.2x² Supply function: s(x) = 0.6x²…

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Q: Construct an equation that has an absolute maximum of 5 when graphed. Please show steps.

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Q: graphs are given below. a) V Y b) Y = 10

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Q: Use the Shell Method to calculate the volume of rotation, V, about the x-axis for the region…

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Q: 1. From a piece of cardboard that is 24 cm by 48 cm, cut equal squares out of the comers. Foldup the…

A: Let side length x squares cut from each corner of cardboard Objective:-To find the maximum volume…

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Total 4 parts  Value at time t  Average and instantaneous rate of change

Q: A tower that is 110 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun…

A: The given image is:

Q: Find a quadratic equation with the given roots. Write your answer in the Suggestion: Make use of the…

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Q: Evaluate the double integral changing to polar coordinates. ¹/1₁ (² (2x - y) dA, where R is the…

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Q: Find the derivative of f(x) = -3²x with no answer negative exponents in

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Q: Use the chain rule to find dw dt dw dt W = In (√x² + y² + z²), x = 9 sin(t), y = 8 cos(t), z = 5…

A: W=lnx2+y2+z2 x=9 sin(t) y=8 cos(t) z=5 tan(t)

Q: The equation (5)/(3)log_(4)(x)=9 can be written in the form x=2^(y) for some number y. What is y ?

A: We have to find the value of y. Conversion of log form to exponental formlogbm=x                 →…

Q: Find the arc length of y = (*2²)* + over [1,4]. 2(x+2)² (Use symbolic notation and fractions where…

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Q: An general equation for the plane passing through the points (0, –1, 2), (−1, −5, 4), and (2, –4, 3)…

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Q: In this problem, y=c₁ex + c₂e-x is a two-parameter family of solutions of the second-order DE y" - y…

A: Given that ,   y = c1ex + c2e-x  is  a solution of the differential equation y''-y =0. We have to…

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series 5=(1+2) n+ S

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: By using the Shell Method to find the volume of the solid obtained by rotating the region above the…

Q: t said to use x 4

A: To solve the questions.

Q: Compute the definite integral fa xe9x dx. ←

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Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (6 cos(t), 6 sin(t), 6…

A: I am going to solve the problem by using some simple calculus to get the required result of the…