indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form (factored form) u V 12+40-0 de

Q: 15. Figure 11.25 shows a design for an herb garden, with approximate measurements. Four identical…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: topic - application of derivatives

Q: Find the constant a such that the function is continuous on the entire real line. 4sin x if x < 0…

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Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes. Draw the graph

A: Given query is to find the area bounded by the line.

Q: Hwe Find dw and dw for the following functions

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Q: Hello, can you please solve the final answer using a right tringle? On there, we are instructed to…

A: After step 3: Line 9:  19-13sin3y+1siny+C We can use the triangle for subtitution.

Q: (2²ª + 2w)* 3 Find dy/dx, given the following: y = V2x–4 (23+2x)"| V(22–4) 17 –360² +102 –24 (2x–4)ª…

A: Given: y=x3+2x32x-4   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The…

Q: 5dz (z+4)Vz+1

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Q: Answer

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Q: Let there be the random vector Z E Rm Prove that E (||Z||*) = tr(E[ZZ"]) From the expression above,…

A: The answer is in step 2.

Q: 1 Find parametric equations for the path taken by a point the distance between the centre and the…

A: The given question has been solved in detail

Q: Find an equation of the tangent plane to the surface at the given point. fx, у) %3 х2 - 2ху + у2,…

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Q: 4. V21+4:-z dz

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Q: If 0<c <d, then find the value of b (in terms of c and d) for which (x + b)dx= 0. b = (Type an exact…

A: Evaluating the definite integral and equating it to 0

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec sec2(x) dy = 0

A: Solve the given differential equation by separable method.

Q: 3 +e? +). 3x 2x2 2

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Q: A farmer plans He needs dimensions would usé the least amount of fence? o equal piece a rectangular…

A: Given:    Area = 194400

Q: Sketch the graph of the function using transformations. y= -2 tun( -) + 1 IT 8

A: y = -2 tanx2-π8+1Midline:y=1vertical shift: 1 units up from x axis.Period:period of tan function is…

Q: lim f(x)=-5 f. f'(-3)=0 а. g. f'(-2) is undefined h. f(-1)=2 i. f'(-1)=0 j. f'(3)=0 b. f'(-5) is…

A: When there's no tangent line and thus no derivative at a sharp corner on a function

Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

Q: Materm tvamare the inte aral:\

A: This question is based on indefinite integral.

Q: Find sin({ arccos ). (Hint: Use the half-angle formula.) 3/10 V10/10 3v10/10

A: Find the following

Q: indefinite integrals: Show complete and detailed solutions. Express you: answers in simplest form…

A: To find the integral

Q: CSC* x dx cot2 x cot²

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Q: For the following function f(x), determine whether there is an asymptote at x = a. Justify your…

A: For vertical asymptote ,set the denominator equal to zero .

Q: 16 10 f(r)dr f(x)dr f(x)dr where a and b =

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Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation and use…

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Q: VT (2x)[sin (2x²)] cos (x²) your exact-value result. Evaluate dx. Show complete pencil-and-paper…

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Q: Question Select your answer. Find the value(s) of the constant k so that f(æ) = kx² – 5x + 1 and…

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Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 10, (2, 3) Vf(2, 3) =

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Q: 1. Use the fundamental theorem of calculus part 1 to compute the derivative VI-t²dt. cos(z) dr

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Q: Show complete solution

A: ∫01x1+xxdx23∫0132x1+xxdx23∫0132x1+xx12dx

Q: Simplify arcsin 3. 享、 3 no solution

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Q: 2. Find the limiting values of 3x? + 5x - 4 (i) 5x? - x +7 as x oo | x? + 5x- 4 (ii) 2x2 - 3x + 1 as…

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Q: 5. The solid below, known as Gabriel's Horn, is generated by rotating the graph of y = ! about the…

A: To find out the volume of Gabriel's Horn.

Q: Choose the graph of the function arccsc(x).

A: Given question:- Choose the graph of the function arccsc(x)

Q: The graph shown below is f(x) = 2 cos x. If g(x) = Sřf(t)dt , find g '( 1 ). %3D 4 3- 2- 54 3 2 -1 1…

A: Use the Newton Leibniz Theorem and calculate the derivative.

Q: 2-use Cramer's rule to solve the system 3tan²x+y=3 2 tan’x -3y=13 X.

A: Given equations, 3tan2x+y=32tan2x-3y=13we know thatfor system  of…

Q: Solve the differential equation with the appropriate method. Finalize answer equated to ky^n.…

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Q: f(x, y) = e2Y sin(x), P(0, 0), Q(2, 1)

A: Use the formula for the directional derivative and simplify.

Q: b/ Find the solution to the homogeneous differential equation below dy x²+y² dx 2xy

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: 6. Find the area of the region enclosed by the graphs of y = VT+1 and y = r – 2 and the vertical…

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Q: dx Use integral tables to evaluate (Type an exact answer, using radicals as needed.) xV23 + x?…

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Q: If R is the region æ² + y² < 4, then Sp(æ² + y³ ) dA = S* L r² dr d0. 2

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Q: Determine an equation of the form Ax t t Cz + D=O By for the plane that contains the line (x,y,2)=…

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Q: Evaluate the indefinite intgral Answer in cimpicst farm (pactored form J40+4t-2 dt.

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Q: A student loan of R25000 is to be repaid by regular monthly installments over 60 months. If the…

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Q: 1 Use the geometric series 1 >a* for |æ| < 1, to find a power series representation k=0 for the…

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