Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 12, ƒ(a) = 3, ƒ'(a) = 5, ƒ' (aº) = 8 Then F'(a) = and G'(a)

Q: Question 5 2x if x < -5 If f(x) = x² +1 if -5 < x < 3 (x) = {x 10 3x if x 23 what is the value of…

A:

Q: In 1-4 justify your answers by using the definitions of even, odd, prime, and composite numbers. 1.…

A: We use the definitions to answer these questions. See step 2 for details.

Q: 2. w³+wz²z)dw + (z³ + w²z-w)dz = 0

A:

Q: 1. Consider the differential equation y = y³-3y² + 2y. (a) Find all equilibrium solutions and…

A: Given the differential equation                          y'=y3-3y2+2y.

Q: The plans for a concrete patio call for a  7ft  by  18ft  slab of concrete  8  inches thick, which…

A:

Q: hyperbolic geometry, why would the fourth angle of a parallelogram with 3 right angles be acute and…

A:

Q: 3. xy³dx + e**dy = 0 4. adß + ßda + aß(3da + dß) = 0

A:

Q: Prove that a convergent monotonic sequence is bounded.

A:

Q: (c) (a,b] = {re F:a <a ≤ b);

A:

Q: sin √ dx, n=6

A: As per our company guideline we are supposed to answer only first  qs, kindly post remaining qs in…

Q: 9. Which of the following statements are true about the polynomial below * 1 point given that x=3 is…

A:

Q: 1. Consider the function f(x) = x² - sin(x) -0.5. Plot the graph of the function in the interval [0,…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. Express the following vectors in Cartesian form. ( a) has magnitude 10km/h and a bearing of 200°.…

A:

Q: Solve using the principles together. 5x3= 11 + 12x The solution is x =

A:

Q: 6. Let b = 8 30 and A = 1 -6 -3 3 -11 -22 14 32 -48 -1 the LU-decomposition of A. Use the following…

A:

Q: Let Pn be the vector space of polynomials with real coefficients and degree at most n. There is a…

A:

Q: The graphs of z = 6, y = f(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

A: The volume of revolution of of the area between the function f(x) and the x-axis from x=a to x=b…

Q: The College Station Ice Cream Company makes three frozen take-home products: fudge sundaes, banana…

A: We will form linear programming problem of 3 variable from given data .  Note : As maximum 3 subpart…

Q: Solve the differential equation (2x³8xy³ - 18x) dx + (12x³y² + 3y³ - 6y³) dy = 0 using the following…

A:

Q: Category 2: 4 sides, 4 right angles Category 5: 4 sides, all the same length Category 3: 4 sides, 4…

A:

Q: 2. Prove the following proposition by induction. Proposition. For any natural number n with n 23, we…

A: Explanation of the answer is as follows

Q: Given a 4x4 matrix as follows: Row 1 (1,4,3,-6); Row 2 (4,-21,43,64); Row 3 (7,2,10,1), Row 4…

A: The given matrix is as follows ; A = 143-64-2143647210191721-28 We have to find the determinant of…

Q: + xp(9 + 4. 5. (2x-3y)dx + (2y - 3x)dy = 0 wood !! but no ICA

A:

Q: what terms from the equation make the equation nonlinear? and why X" + x + (x)² + x + x³ + sin(t) +…

A:

Q: (b) Which critical value makes sense in this model? Recall that P(t) = 30t + 6t²-3 is only defined…

A: b Given that Pt=30t+6t2−t3 is only defined for 0≤t≤8. Differentiate Pt=30t+6t2−t3 with respect to t,…

Q: Problem 15. Compute the symmetric LDL factorization of [1 3 5 A 3 12 18. 5 18 30

A: The given matrix is ,           A= 1353121851830 Then the symmetric  LDLT factorization . where  L…

Q: 2. The component of force F acting along line a-a as shown is required to be 30 N. Determine the…

A:

Q: Let y(t) be the height (in meters) after time t (in seconds) of a rover that is landing on some…

A:

Q: Two states A and B have formed a 100- member commission to explore ways in which they can work…

A: When there is only State A and B the total population will be 9,770 (2000+7770)

Q: 12. A cruise ship has a speed (with respect to the water) of 26 knots, and sails on a heading of…

A: (a) Consider the diagram as per given information, Here we need to find the velocity of boat…

Q: 5. Determine the midline, amplitude, period, and phase shift of the graph of y = csc (2x +)-2, then…

A: Given equation is y=csc2x+π3−2. We have to determine mid line, Amplitude, period and phase shift. We…

Q: 2. Consider the following system of equations. 2x₁2x₂ + x3 = 10 3x1 + 2x25x3 = -16 -x₁ + 2x₂ + 3x3 =…

A: Explanation of the answer is as follows

Q: Problem 3. The number of giant pandas in China at the beginning of the year 20 was 9205. The…

A: Net change theorem : ∫abF'(t)dt=F(b)-F(a) Give rate of growth 6(t-2000)2=F'(t) (assume) Where F(t)…

Q: I Find the multiplicity of the root r = 0 of f(x) = sin³ 1 +26 - 2x¹-x³-1, and estimate the number…

A: Finding multiplicity of the root : Consider f(x)=0 with root r. The multiplicity of a root r is m if…

Q: Homogeneous Systems Produce the basis vectors for all non-trivial solutions 3x + 2y + 4z + w = 0 1x…

A: We have  3x+2y+4z+w=0-1x+2y+z+2w=02x+4y+5z+3w=0 This can be written as: 3241-12122453xyzw=000 Now…

Q: If g(t) has Fourier Transform G(), show that g (t) has transform G (-a).+

A:

Q: sider the graph of f(x) below. Match the questions on the left with the correct answer on the right.…

A: Given graph  can be written as

Q: an -1 = IT 11 n'll 38 | 1.9x-nnnx XY [ 30 ] | 5 5n¹ + 5.8 (11) corn (11) n² 3.8 COINIT (cornx)

A:

Q: 7. Consider the curve produced by the vector valued function, F(t)=(41, 3cost, 3sint) which…

A:

Q: Let S be the surface with the polygonal decomposition: Yo a ⠀ ⠀ g C b where, as shown, the tail of…

A: Given: S is a surface with polygonal decomposition such that the tail of the edge a is vertex x and…

Q: Q2) Find the positive fourth root of 81 using the Newton-Raphson method until percentage relative…

A: Newton-Raphson Method: The iterative formula for the Newton-Raphson method is,…

Q: Suppose f(): R" → R. Define (a) The directional derivative f'(x; v) at x in direction v. (b) When…

A:

Q: Find the general solution of the following DEs. 1. y' + 2y = x²y³

A:

Q: The cost function in a computer manufacturing plant is C(x)=0.28x2-0.7x+1, where C(x) is the cost…

A: Given: The cost function is Cx=0.28x2-0.7x+1. The unit of Cx is the cost per hour in millions of…

Q: #1) Let S C R be any set. Define (a) Define inf(S); (b) Define sup(S); (c) Find the following: S…

A:

Q: Assume f and g are continuous with f(x) ≥ g(x) 20 on [a,b]. The region bounded by the graphs of f…

A:

Q: f' (t) – f(t) = e²t where f(0) = 1

A:

Q: Let g: N N be defined by f(n) = n + 1 for all n € N. Is f surjective?

A: This is not surjective as 1 has no pre image.

Q: Let V be a vector space of finite dimension n over a field F , and let U be a subspace of V of…

A: Given: Over a field, F let a vector space V of finite dimension n. Also, a subspace U of V of the…

Q: Solving using Method of Variation of Parameters d²y dy dx² dx +4 +4y=e-2x ln x

A: