Let Find fa, fay and fryz f(x, y) =In(xy)-26x¹0 y 10

Q: Find the arc length of the following curve on the given interval. x= 12t³, y=18t², 0sts √3 The arc…

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Q: Choose all critical points of the function f whose gradient vector is Vf(x, y)= ○ (0, 2) O None of…

A: We have to choose correct option for all critical points.

Q: (2x²-10x+15) 22 50 tôi 2x+31(2-3) + G Integrate: f -dx

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: We can find the 5th term as below.

Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

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Q: Answer the following True or False. 4ª + C In 4 faº f₁² da = True Faise

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Q: Work problem 3 ( Given the vector function F(t) = (6t³ - )) 5 sec(4 — t)), then find the tangent…

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Q: A square is increasing in area at a rate of 20 mm² each second. Calculate the rate of change of each…

A: topic- application of derivatives

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: Given function :- f(x) =3√x  Estimate f'(1)

Q: Evaluate: 0 tan-¹ (0) de arctan(0)—0 2 giarctan0+ + C arctan0+ arctan(0)–0 2 -arctan0+C 0–arctan(0)…

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Q: The differential equation dy 6x + 2 da 12y² + 14y + 5 Find such a solution and then give the related…

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Q: Find 7 sin (7x) dx

A: According to question,Given Integral,Let I = ∫7 sin27x dx

Q: (a) √ (e² +2²) dz (b) f 3² dr

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Q: Use Newton's method to approximate a root of the equation 3x7 + 7x² + 2 = 0 as follows. Let 1 = 1 be…

A: Follow the procedure given below.

Q: 3) Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

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Q: 1. Evaluate Sox2+4* dx 2. Find the area bounded by y = 4x², x = 2 and x = 6. 3. Find the area…

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Q: If f(x, y) = x³y + cos(x) then (fa, fy) = (3xy - sinx, x³). Select one: O True O False

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Q: 6, 8)

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³y³, P(8, 3),…

A: Here we have to find the direction derivative.

Q: What is the value of the derivative of f(x) = (x-2)(x² +1)³ est x=1?

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Q: Consider the function f(x) whose second derivative is f''(x)=9x+9sin(x). If f(0)=4f(0)=4 and…

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Q: Find the angle of inclination of the tangent plane to the surface at the given point. (Round your…

A: Find the angle of incidence of the tangent plane to the surface of the given point.

Q: (hex) = (7x-6x³) 9 2) 3) x+1 x-1 x√x+1

A: Find the derivative

Q: Determine the derivative of the following function and simplify: tan³ (22) sin² (5x) - O 2 tan² (2x)…

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Q: Given the graph of f, find any values of x at which f' is not defined. A 44 SOU OA. x= -1, 0, 1 OB.…

A: Solve the following

Q: Can you please show the working i do not understand.

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Q: dz Evaluate: 5 10+2% 0 1 O Divergent 00 0-1 15

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Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

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Q: Let f(x, y) = domain of f is the set D = {(x, y)|x² + y² > 1}. Select one: 1 1 - x² - y² True O…

A: Given.

Q: Integrate (2x + 5)(2² + 5x)² dr Select one: O A. (²+5x) + C OB. (2²+5x) + C OC. (x² + 5x) + C OD.…

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Q: if u=f(x,y), x=g(w) and y=h(w), using chain rule, what is ∂u/∂w?

A: Silution : Given that u = f(x,y)

Q: Evaluate f cosh² x dx đ (sinh 2 từ t + x) + C O 2r O2e² +42 + C 8 O None of the choices…

A: We have to evaluate  ∫ cosh2(x) dx

Q: State the domain of each function below in interval notation. 3x a. q(x) = 39 x+9 b. p(x) = 3x³x² +…

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Q: II. Anti differentiate the following. C. (ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS) (a) √ (cos r -…

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Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

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Q: Evaluate. e14x (e14z +13)² (Note that the constant of integration is already included) dx +C

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Q: 1. Find the domain of the vector function r(t) =< ln(t + 2), t 1 - 12 21 √12 - 4

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Q: Question 38 The critical point of f (x) = (sin x) (cosa) on the interval (0, π/2) is at x = Ono…

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Q: The integral fe*- a dxdy is equal to O 2e-a+2 2 2e-a-4 2 2e-a+4 2 2e-a 2 9

A: Given :∫01∫0yex-adxdy

Q: B a A b LI Use the right triangle and the given information to solve the triangle. a = 1, c= 2; find…

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Q: Find the general solution of the differential equation. y(4) + 2y″ + y = 7 + cos(2t). NOTE: Use C₁,…

A: To find the general solution of the given differential equation.

Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C O None of the choices O cos² (2x)…

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Q: 3. For y = 3 sin x + 21, the third order derivative (a) -3 cos z +21 (b) -3 cos r 4. For y = e-2-50,…

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Q: (2x²-10a+15) da Integrate: f gở ba tô 2x+3 ln()+ +C n(²²³)+c +C 3 In O2a +3 ln()+ ○ 3 ln() + C o +C

A: We have to integrate ∫2x2-10x+15x2-5x+6 dx.

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: W need to estimate slope.

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations.…

A: We have to find area of given region.

Q: Find parametric equations for the following curve. Include an interval for the parameter values. 3…

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Q: 5. The angle between the tangent line and the normal line is (a) 180° (b) 90° (c) 45° 6. If x= 3t-2…

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Q: Use the triangle shown on the right and the given information to solve the triangle. b=4, A=70°;…

A: Given b=4, A=700, a=? c=? B?

Q: The domain of the following function: is: f(x, y) = Select one: O A. D= {(x,y) y ≤7-3x} O B. D= {(x,…

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