Express the polar coordinates (2.) as Cartesian coordinates. (√3,1) (-√3,-1) (√3,-1)

Q: The volume of the solid whose base is region in the xy-plane that is bounded by the parabola y = 12…

A: Concept: To find the limit of x put equate the values of y  The volume of the solid in the x-y plane…

Q: fx arccos x dx 2.

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Q: Let y = 3x² + 3x + 4. ind the differential dy when x = 4 and dx = 0.4 ind the differential dy when x…

A: Given query is to find differential at given point.

Q: Diffential Equation  Topic: First Order Linear DE and Bernoulli DE 4. Find the solution of the…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution: L-1 {1/s7}

Q: Find all numbers b such that the average value of f(x) = 7 + 8x - 6x² on the interval [0, b] is…

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Q: R is the region bounded by the functions f(x) = 2e - 1 and g(x)=x²-2. Find the area of the region…

A: R be the region bounded by the curves f(x)=2ex-1 and g(x)=x2-2 on the interval -1,1

Q: The future value S of an investment earning 6% compounded continuously is a function of the…

A: Given expression of S S = f(p,t) = pe0.06t

Q: a. (x-²)(x + xy) = 4 b. √√√xy=x-2y at (4,1) c. cos(x² + y²) = y²sinx² d. y² = ln(x² + y²)

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Q: Use Euler's method with step size 0.4 to estimate y(2), where y(x) is the solution of the…

A: Here, the given function is: y'=3x+y2, f(x,y)=3x+y2, h=0.4, x0=0, y0=-1

Q: 9. Find the area of the surface generated when the given arc is revolved about the x-axis: 4x² +…

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Q: What is this character after the 16???

A: The number is  168.  The character after 16 is 8.

Q: Find the volume bounded by the cylinder z=y², y=x² and the planes z=0, y=4.

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Q: It is easy to check that for any value of c, the function C y = x² + is a solution of the equation…

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Q: Differentiate the function. 5 y = 6e* √ Read It Need Help? Watch It Master It

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Q: A b. C find an equation of the tangent to the curve at the given point (T/6,1) 4 sin ² x y = + y =…

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Q: 9. Evaluate 18x dV where E' is the region behind the surface y = 4 - 2² that is in front of the…

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Q: Let S (x,y) = 3e³x² +2e³x+5y + 4e'y?. Find fy A 3e'x4 + 10e³x + 5y + 28e¹y6 12e x³ + 6e³x+5y + 4e¹y7…

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Q: 00 country song NR6) If all of the letters in the word PENCILS are used, the number of arrangements…

A: Given ,  If all of the letters of PENCILS are used, the number of arrangement with all of the…

Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

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Q: Direction: Fill in the blanks with the next step in solving the solutions of the differential…

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Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2 A 128/15…

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Q: Locate and classify the critical points of y=x²-4x-1

A: The given equation is  y=x2-4x-1.

Q: Q9: The Law of Sines ( a) Given: B = 10° C = 135° c = 45 Find: A-? a-? b-?

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Q: IV. Application: Newton's Law of Cooling 1. A thermometer reading 75°F is taken out where the…

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Q: provide a step by step solution to the following DE (2x+3)y' = y + (2x+3)1/2 when x=-1 and y=0

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Q: 1. Given the function f(x) = 20 √7-x find f (-9). "

A: The given function is: fx=207-x    ...1

Q: Evaluate the integrals. x√√1-x² dx a. x X b. I si sin5 -cos-dx 3 3

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Q: A ramp is inclined at 12° to the horizontal. A cart is pulled 8 m up the ramp by a force of 120 N,…

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Q: h(x) = [(x − 3)√6x − x² + 9 sin¯¹ (x-³)] g(t)e-2t (1+e-2t)-1/2

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Q: / which of the Following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

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Q: dx (4+x²)² √

A: Explained below

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 8 6 2 y=x (6,6)

A: Solve by integration

Q: Q/ find the vector whose length -5 and its direction (60°) with x axis

A: Here, the amplitude A=5, and the angle with x-axis is θ=60°.

Q: 4. What is the area of the largest rectangle that can be insribed in the first quadrant under the…

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Q: 6. show that the complex Fourier series of the function; f.(.t.) = t ..。. st.s.1. is...:. i2nt e j…

A: Fourier series of function is given.

Q: ! Q/ if A=(2, -4, 6) and B=(4,-2,5) Find the unit vector of AB UAB 2i + 2j - k √5 2i + 2j-k √5 خیار…

A: We have to find unit vector from given points.

Q: 3. Use Lagrange multipliers to find the relative extrema of the function f(x,y)=1620.70. 0.3 subject…

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Q: 9/Find Parametric equations for the Line that is tangent to the curve r(t) = eti + (Sint)j + In…

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Q: 1- Solve = cos x + y, where y = dy dx 2.0 at x 0 take step size h = Ax= 0.1 and solve for 0 ≤ x ≤…

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Q: Solve the following homogenous linear differential equation: (D^6+6D^4+9D^2)y=0

A: To solve the given differential equation

Q: - Find the volume of the region cut from cylindrical (x² + y² = 16) by the plane z 0 and the plane…

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: The doubling time of an investment with continuous compound interest is 12.4 years. If the…

A: Topic:- algebra

Q: If you were to use a substitution of u = integration be? (Enter an exact answer.) Provide your…

A: We have to solve integral

Q: 9/Find Parametric equations for the Line that is tangent to the curve r(t) = eti + (Sint); + In…

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Q: Determine the volume generated of the area bounded by y=√√x and y=- (A 128/15 (B) 112/15 Ⓒ136/15 (D…

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Q: Evaluate the integral T 22 P" sin cos e de dode Hd 0 H₂

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Q: 60. خدا x4 - 1 x5 − 5x + 1 dx

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Q: L 1 1 {}} 2 S S + 1 S-6

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