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Q: Answer the following p

A: Given ∫516x2x-5dx The objective is to evaluate the integral.

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Q: 1. Determine the equations of the tangent and normal lines at P(1,1) given x³y - 2xy² + x² - 3y + 3…

A: To determine the equations of tangent and normal to the given curve.

Q: D Question 25 y sin 2x + cos 2y = ax; Oy = Oy = 0% O y = O✓ = y a-2y cos 2x sin 2r-2 sin 2g a+2y cos…

A: To determine the derivative of given function.

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Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit realized from…

A: NOTE: Refresh your page if you can't see any equations. . the profit function is given by where…

Q: HW Salve the following equat.i.912.s...... 2. Schichen Ren) dite.

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Q: Find the standard equation of the sphere that has the point (1, — 6, 2) and (3, 5, 6) as endpoints…

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Q: Given the following graph of a function. 2 What is its domain? O 4 0 (-∞0, +∞0] O (-∞0, 2) U (4,00)…

A: We start at the far left side of the graph. We notice the arrow of the blue graph indicating the…

Q: Solve the given initial value problem by using Laplace transforms. y" + y = 2, y (0) = 4, y'(0) = 3…

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Q: Write Equations of a Line in Space Find the point at which the line 7 (t) = (1, 3, 8) + t( − 2, 5,…

A: Given form of line is r→t=1,3,8+t-2,5,6 We need to find the point where the given line intersect xz…

Q: Problem 1 Given a first-order differential equation: √1 + x² dy-ydx = 0 a) What is the best solution…

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Q: f(x) X 2 tan r -

A: We have to solve given Questions.

Q: A tank contains 100 L of water. A solution with salt concentration of 0.4 kg/L is added at a rate of…

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Q: A projectile is shot upward from the surface of Earth with an initial velocity of 113 meters per…

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Q: Sketch the region of integration and evaluate the following integral, where R is bounded by y = |x|…

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Q: Find the average rate of change of f(x) = 4x² - 6 on the interval [1, a]. Your answer will be an…

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Q: Differential Equations d³y(t) ·x(t) dy(t) + y(t) = 0 dt³ dt Linear or Non-Linear Constant or…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given f(x, y) = 7x³ cos (yº), find fzy (I, y) = fyy (I, y) =

A: Given that fx,y=7x8cosy6To find :fxyx,y, fyyx,ySolution…

Q: The position of a free-falling object is given by s(t) = -4.9t² + vot + so where s(t) is measured in…

A: Note : As per our Guidelines , we can solve first three subparts .Please repost remaining subparts .

Q: If f(x) = 2x² - 3x + 6, find f'(5). Use this to find the equation of the tangent line to the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

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Q: Consider f(x) = 5x + 4 and g(x) = x² + 4x − 21. • You must combine all like terms before you submit…

A: Since, you have posted multiple questions, as per guidelines we"ll solve only first three parts. If…

Q: 7/8x - 12 = -1/8x - 2

A: Given; 7/8x - 12 = -1/8x - 2

Q: What else do you observe? Concept Check: Evaluate the following integrals: fe3xe 1. -5x dx

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Q: Show that the triangle with vertices A, B, and C is a right triangle. d(A, B)2 = 145 d(A, C)² + d(B,…

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Q: Is this the answer

A: Note: After seeing the previous solution we observe that the student has demanded some more clear…

Q: x x +4 Give exact answers (not decimal approximations). Let f(x) = Find the values of where f'(x) =…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Assume that we know that f(x) is a one-to-one function. a. If f(-6) = 7 then f-¹(7) - -6 b. If…

A: Given:- fx is one-one  function⇒y=fxso f-1y=x

Q: Combine into a single logarithm log3 - 4 log; y + 2 logą z − 2 O 10g3 O log3 2yª O 10%3 gyt 2½ O…

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Q: (a) Using your calculus skills, find the equation of the tangent line to the parabola y = 4x² - 2x +…

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Q: A conical tank (with vertex down) is 14 feet across the top and 20 feet deep. If water is flowing…

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Q: Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 9 assuming that a(9) =…

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Q: Question 20 Find the derivative: x²(x² + y²) = y² y = - fo Ov fi P r(2x+y) (1-²) v(22:²-²) x(1+z²)…

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Q: 0 = XP(^vx-2)^x + ^p (Tvx-tv^) differential equations.

A: A differential equation of the form Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x, and general solution is…

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A: We need to find out the differentiation of the function.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√9-x² dy

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Q: EXAMPLE 2 A ladder 10 ft long rests against a vertical wall. If the bottom of the lad- der slides…

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Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation. 11- X

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A: Let x m be  length and y m be  width of rectangle  Perimeter of rectangle=2x+y m Area of…

Q: 4. y" -10y +34y = -cos3x

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Q: A person standing close to the edge on top of a 80-foot building throws a ball vertically upward.…

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Q: Kindly help me solve this question,show full and clean solution thank you.. Note: Lesson about…

A: Let's solve given diffential equation.

Q: 1. Exponential growth and decay can be expressed as A(t) = Apekt, where A(t) = the amount at time t…

A: if  k>0   ,  Exponential growth k,0   , Exponential decay

Q: Find the following using the table below. x 1 f(x) 3 f'(x) 2 2 3 4 2 4 1 4 1 3 g(x) 4 3 1 2 g'(x) 2…

A: Given that hx=fx.gxh'x=f'x.gx+fx.g'xh'2=f'2.g2+f2.g'2h'2=4×3+2×3h'2=12+6h'2=18

Q: Question 21 Determine the derivative of the following curve: x² + y² = 5 Oy = -√2 Ov=√ Od = -√√…

A: Explanation of the answer is as follows

Q: 1 2 ső ső (x + y) dydx 0 O none is correct O-3 02 0 3

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Q: Find Cross Product Find the cross product u x 7 where u = 6i +8j +8k and 7 = 6i +8j +8k and 7 = (4,…

A: Topic = Vector