a) Sketch the region of integration and evaluate the double integral 8 [[_ 0 -6 -2 y + xy² dx dy b) Change the order of the integration

Q: Find f'(x). f(x) = (3x + 10)7 (1 − √) 3(3x + 10) (1 − √x)³ f'(x) = 21(3x + 10)6 (1-√) f'(x) = 7(3x +…

A: Given data÷ fx=3x+1071-x6 Find the first derivative f'x. Useful formula ddxxn=nxn-1…

Q: Given the following graph of f(x), state --6-5-4-3-2-1 3- 2+ 3 4 a) the domain b) the range

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Q: following

A: Please refer to the image below

Q: Consider the following function and its graph. f(x): X x² + x (b) Use the graph to determine the…

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Q: 27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ 3x (3x + 4 - if x ≤ 0 if 0 < x≤ 1 1<x<2 if…

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Q: Find the constant a such that the function is continuous on the entire real line. -√8x², a = ax - 8,…

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Q: Consider the following function. f(x) = x=4 Determine whether f(x) approaches ∞ or - as x approaches…

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Q: Find the critical point and the intervals on which the function is increasing or decreasing and…

A: topic- extrema of a function using first derivative test

Q: Given the triangle below, find the measure of angle x. Round to two decimal places. Note: picture is…

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Q: Evaluate the integral. NOTE: Enter the exact answer. 1 X for fo (ory + 173 dy d 1)² dy dx =

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[₁…

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Q: s+ Xh+ X 2² S dx ans 1. Y objut buisn

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 4. fxcosxsinxdx by parts

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Q: (a) an = 5+7n² n+ 3n²

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Q: Question 13 of 20 View Policies Current Attempt in Progress Determine whether the statement is true…

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Q: 1. Explain why there is no solution to sec() and csc(n). You can use graphs and diagrams if you want…

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Q: -3 Find the derivative for the function f(x) = (5x-4 + 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. S sec² x 81 -…

A: The given integral is: I=∫sec2x81-tan2xdx    ...1   As we know the common integral.…

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

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Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: Question 18 of 20 Determine whether the following statement is true or false. dy If y = f(u) and u…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Using a suitable trigonometric substitution, the integral dx 3 (16x² + 9)² is equal to sin 8+ C₁-<<…

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Q: To find the arclength of y = 4x² - 3 from a = 0 to x = 4, which is the correct integral? √ VI + Sada…

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Q: Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis. A 3.33 square…

A: as per company guidelines we can solve only first question when multiple question being posted

Q: Express the series in terms of elementary functions and find the where the series converges. ∞ Σ (1…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Find an explicit solution of the given initial-value problem. y2 - y(4) = 4 x²-1 dy dx

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Q: following

A: Please refer to the image below

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J tan6(9x)…

A: The objective of the question is evaluate the indefinite integral with substitution method.

Q: Show that the function has removable discontinuity at the origin sin 2x 2x f(x) = 1 if x = 0 if x =…

A: Given that a function f(x) and we show that the function has removable discontinuity at the origin .…

Q: For f(x, y) = cos(xy²), which of the followings is true? O fr = fy O fxy = fyx O frr = fyy O fryr =…

A: The given function is fx,y=cosxy2

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: The graph below is the function f(x) -3 -2 Find lim 4 3 2 01 tro Find lim I→ 1- er 45 Find lim 2-1+…

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ ( 1. (D³ - 5D² + 3D + 9)y = 0 2. (D³ - D² –…

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Q: Solve the length of the unknown side. Round each answer to the nearest tenth. 22 in 29 4

A: The given triangle has measures 22, 29 and 45°

Q: 3. State the remainder when f(x) = 2x² −x³ +1 is divided by (x+1).

A: We can find the remainder as below.

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) lim 8 cos x…

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Q: Find f'(x) when f(x) O O O f'(x) = O O f'(x) = f'(x) = f'(x) = f'(x) = GREEN (x² + 3) cotx 6-…

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Q: Find f'(x). f(x) = (7x + 3) (1 - √x) ○ f'(x) = 7(7x+3)6 O f'(x) = 49(7x+3)6 (1 - √x)6- O f'(x) = 1…

A: This question is related to differentiation, We will solve it using given information.

Q: ind a general solution to the differential equation. /4y"+4y=3tan4t-1/3e^3t..........the general…

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Q: Find all solutions of the equation in the interval [0,2π)[0,2π). (hint: isolate the trig function…

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Q: Calculate dz/dt given the following functions. Express the final answer in terms of t. f(x, y) =…

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Q: When proving the limit lim(2x + 8) = 14, and e > 0 is given, what is an appropriate choice for 8?…

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Q: The gradient vector of the function f(x, y) = cos(4x - 6y) is (4 sin(4x - 6y), -6 sin(4x - 6y)).…

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Q: Find the function f(x) = ax³ + bx² + cx + d for which f(-3) = − 92, f( − 1) = 2, f(1) = 8, and f(2)…

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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Q: Consider the following. lim 2x²-3x - 5 X→-1 x + 1 Find the limit of the function (if it exists). (If…

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Q: If the curve y = 4x², 2 ≤ x ≤ 5, is rotated about the x-axis, what is the integral that represents…

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Q: a. In a geometric progression the sixth term is 8 times the third term and the sum of the seventh…

A: nth term of the Geometric progression , an= arn-1. Note : As per Our Guidelines , we can solve…

Q: f(x)={-2x, X = x ≤ 4 x>4 x² - 8x + 5, Find the x-value at which f is not continuous. Is the…

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