Figure 1 shows a continuous piecewise function's graph. f(t) 3 2 1 1 2 3 4 5 Figure 1 a) Based on Figure 1, determine a, ß and 8. 2 0

Q: What makes a function f(x) continuous at x = c? I. f(c) is defined II. lim f(x) exists X-C III. lim…

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Q: Given the graph below, what can you say about the function at x = 0? Continuous Not Continuous

A: For the given graph , what can you say about continuity at x=0 .

Q: 9. Convert ₁(4-4x² - y²)dydx into a triple integral with dV = dydzdx.

A: Given, I=∫-11∫-4-4x24-4x24-4x2-y2dydxor I =∫-11∫-4-4x24-4x2∫z=0z=4-4x2-y2dzdydx

Q: QYsolve the following boundary Value problem by using method of separation of variable ou ou -4u -чи…

A: The given problem is to find the solution for the given partial differential equation with given…

Q: 8. Show that the volume of a cone with height h and radius a equals iterated integrals in…

A: 8 We have to show that the volume of a cone with height h and radius a is equals 13πa2h by using…

Q: Identify and sketch the graph of y = r² + 1 in R³.

A: Here given equation as y=x2+1 or it can be written as x2-y+1=0

Q: Find the Parallel Realization for : z² H(Z) = (2-1) (Z-0.5) N

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Q: Obtain Llerf x; p). Hence deduce the value of Lierf (bx); pl.

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Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4 Find the maximum using Parabolic Interpolation (X0= 1.75, X1=2,…

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Q: L[(3e2t)2]

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Q: Parent Function y = log10x (x, y) VA x = Transformed Function y = -2log10 (x+4) - 3 VA x =

A: If a function: f(x) is transformed into the function: g(x)=afx-h2+k, then using the mapping notation…

Q: Measurement error that is continuous and uniformly distributed from -3 to +3 millivolts is added to…

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Q: Consider the bases B = {P₁, P₂} and B' = {91, 92} where P₁ = 6 + 3x; P₂ = 10 + 2x; q₁ = 2; q₂ = 3 +…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: Identify and sketch the graph of y=x² + 1 in R³.

A: given graph y=x2+1

Q: 3 Σn!(x - 4)" m=1

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Q: (1) After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per…

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Q: Convert ₁42(4-4x² - y²)dyda into a triple integral with dV = dydzdx.

A: Given, I=∫-11∫-4-4x24-4x24-4x2-y2dydxor I =∫-11∫-4-4x24-4x2∫04-4x2-y2dzdydx

Q: Cos(x), Sin(x), Cot(x) and Csc(x). b) Solve the below triangle

A: 4. (a) Given,              tan(x)=-23; x is in the second quadrant.

Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: 3. Identify and sketch the surface given by z = 16-y²; 0 ≤ y ≤ 2; 0≤x≤ 4. in 3-space, include ALL…

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Q: What is the instantaneous rate of change of the secant function at ? O 2√3 02 0²/0 113 O 03/13 28

A: Solution

Q: occur? (1, undefined) x = 1, x = -1

A: Here we answer form the graph.

Q: Consider the following linear system of differential equations. = Y{ 196y2 1/₂2 4y1 Which of the…

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Q: (c) Consider the ring R=Z, [x] of polynomials with coefficients in the ring Zº. Let…

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Q: (10) IF: A = 2i-j+2k and B = 9i+20j + 12k Find: (1) Unit vector for A direction. (2) Unit vector for…

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Q: -슬 - gty=2xe to's

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Q: let U and y be bounded sets. if u er i tre M+ (V) ≤M₂ (V) and M^ (U) SM³ (V) 1

A: Given :  U and V are bounded sets with  U⊆ V. To show :  m*(U) ≤ m*V  and  m*U ≤ m*V,  where m*U and…

Q: 8. Given the function f(x) = -x³ + x² a) Determine the intervals in which the function is increasing…

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Q: Let p 3. Prove that if fn converges to f in Lp then f converges to f³ in Lp/3.

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Q: b) Use the graphical method to find the optimal solution and optimal objective function value. Use…

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Q: Extend the linearly independent Set S={x+1, 2x²3 to the space base P₂ (R)

A: We are given linearly independent set S={x+1, 2x2} and we need to extend it to basis of P2(ℝ)

Q: 3. A population of cicadas is modeled by a function defined by f(w) = 250 ● e(0.5w) where w is the…

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Q: Consider the function 1 y=sin-¹ ( (x³ + x² + 3) + In (x) + e* for the values x= 1.5 and 1.6. Round…

A: The following steps are used to obtain the solution using MATLAB. Enter the value of the variable…

Q: -5<z<0 If f is the Fourier series of g(z)=92, 0≤z<1, then (11, 1≤z<5 f(z)= What does f(-5) equal?…

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Q: Convert ¹4-42(4-4x²-y²) dydr into a triple integral with dV = dydzdx.

A: Given integral is ∫-11∫-4-4x24-4x24-4x2-y2dydx Which is the integral of volume. So z=4-4x2-y2…

Q: (8) IF: A=i+j+ k, B = i +2j - 3k Find A-B, A.B, 2A.3B, A.B, (A+B). (A-B)

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Q: Let A be uncountable and B be countable. Prove that A\B is uncountable.

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Q: Need typed solution Find the Fourier sine and cosine transform of the function  x^(m-1).

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Q: dx What is where dy 9 x³ + y³ = 3xyusing implicit differentiation? 2 dx y-x² y² +x dy 2 dx y-x dy…

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Q: Advanced Math 5. Calculate T.(₁). Te(₂). T(3) in general. i.e. without assigning any value to the…

A: To Calculate: Tt(v1) , Tt(v2) , Tt(v3). where A=a11a12a21a22 and b1b2.

Q: Find the flow of the field F = V(x²ze) once around the ellipse C in which the plane x + y + z = 1…

A: Let F be a vector field and C be the boundary of the surface S. The Stoke's theorem states that…

Q: Q4: A conical tank with Diameter of (2 m) from the top and (5 m) height. At the bottom of the tank…

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Q: Using the graph of the exponential function below, what is the limx→12 (3x)?

A: From the graph it is clear that at x=1 the value of function is 6 So the answer is 6

Q: a. determine whether the system is homogeneous, b. find its order, and C. write it in matrix form.…

A: a. Consider the given system, x'=y2+zy'=x+zz'=x-z It can be observed that x'=y2+z containing the…

Q: Suppose that (f) is a sequence of functions bounded on the interval / and converging uniformly on I…

A: Given :  fn is a sequence of bounded functions on the interval I and converging uniformly on I to f.…

Q: A jawbreaker is a ball of hard candy filled with multiple colored layers (or rings) of hardened…

A: Here we will use partial derivative to find change in cross sectional area . Foe a function f(x,y,z)…

Q: (1). 3xP(x)V 3xQ(x)VA, where A is a proposition not involving any quantifiers; (2). Vx(P(x)…

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Q: (2) Find the angle between vectors: a=51-4j+2k and b= 41+3)+2√5 k .

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Q: A furniture company produces school tables and chairs. The production of each product requires a…

A: We have to formulate the maximization problem and then we can proceed further.