Q: Inys 5. lim y→⁰⁰ y
A: To solve for the limits of the following function using L'hospital's rule.limy→∞ ln y5y
Q: The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C
A:
Q: 11. Given f(x, y) = 6r² - 2r³ + 3y² + 6ry. Determine any local maxima, local minima, and saddle…
A: To find out the local maxima, local minima and saddle points.
Q: Evaluate (2x + 3√/Y) ds where C is given in the accompanying figure. (2x+3√/Y) ds- (Tyne an exact…
A: ds = dxdt2+dydt2 dt
Q: Find derivative of each; A) m(t)= In(4t^3+tan(5t)) B) h(x)= 4sin^8(5x+1)
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Q: solve by the method of undetermined coefficients. b.) y''+4y=5sin(4x)
A: We need to find D.E.
Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3
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Q: You are tasked with designing a cylindrical can. The material for the top and bottom of the can…
A: This question can be solved using the concept of maxima and minima.
Q: II. Directions: Find the slope of the line tangent to the given curve at the indicated point 10-12.…
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Q: Consider the general solution of a differential equation is y=C₁x-C₂ ln x² find C₁ and C₂ when…
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Q: e the differential equation e2x dy +2e²x y = 2x
A:
Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had…
A: Given Population in 2000 = 45,000 Population in 2010 = 65148
Q: the Following differential equation ²²=1+ P²
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Q: Solve for the slope of each of the given point of a function
A: Given that,
Q: Find in the parametric equation d'y dx² x = 5 sin² t y = 2 cost 0≤t≤ 2π.
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Q: I. Directions: Determine if the function is continuous on the given interval 1-3. f(x) 2 12-x² ; [1,…
A: 1. fx=212-x2; 1,32. fx=2-x+3; -3,-13. fx=1if x≤2x2-3if x>2; 2,4
Q: Q2): For each of the following functions,determine if f(x) is convex, concave, or none of these.…
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Q: B. Find the general form of the equation of the tangent line to the given curve at the indicated…
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Q: What is the exact value of sin(255°) +sin(195°)?
A: find value of sin(255) +sin(195) here this is trigonometric function lets find value of this
Q: et (e2t + 8et + 7)² 3 dt
A:
Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…
A: Given: Now, v(t)=f'(t) =-16t2+286t+10' =-32t+286
Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…
A: We need to find volume.
Q: Use finite difference approximation to find the values of y(0.25), y(0.5), and y (0.75) for the…
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Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9
A: find inverse 5-11 -7-9
Q: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…
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Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…
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Q: 4. tan(5) a. Find the exact value for: b. Solve for x: tan(2x) = √3, xe [-]
A:
Q: ered # tion Bi Q) choose one only 1. If (x + y)² = x² + y² prove that = - dx 2. If y = sin³ () cos³…
A: To find the differentiation of given functions.
Q: or
A: Solution
Q: The bacteria in a certain culture increase according to dN/dt = 0.25N. If originally N = 200, find N…
A: Integrate the equation.
Q: 13. In |z|
A: It is depend upon the property of complex number and thier Logarithmic.
Q: d. e. f. 1 R, Re 1 1 + 4.5×10²2 9.4×10² (1.7×10³ J)-(3.3 × 10² J) (1.7×10³J) = - e= (1.33) sin 25.0°…
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Q: 1-) x ² ( xdx tydy) = (x² + y²) dx ; x =1 when y=2
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Q: Find the Cartesian equation of the plane containing the point P(1,3,-2) and the I T = (0, -1, 4) +…
A:
Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…
A: Using derivative
Q: Question 10 The function y= ax6x³ has a minimum point at (2a, f(2a)). Determine the value of a. - a…
A: Let's find a value.
Q: (d) Use the given information to write an Lauation that relates the variables x and y.
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Q: B. Determine whether each of the following functions is (a) continuous (b) differentiable. 12.…
A: Please follow the the explanation.
Q: Solve the non-homogeneous linear recurrence relation. (note: the non-homogeneous part is a constant…
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Q: 3. [7.3] Determine the dot product between the two vectors below if there are 135° between them as…
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Q: Use implicit differentiation to determine the derivative of: tan² (xy² + y) = 2x.
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Q: Annual sales (in millions of units) of a certain model of phone are expected to grow in accordance…
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Q: reply as soon as posible.
A: To find out the conservative.
Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s 56
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Q: 2. I cosh ix dx
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Q: af axdy of f (x, y) = xy(x+y — 1) — x² Find-
A: The given function is: fx,y=xyx+y-1+x2 As we know that; The Power Law: ddxxn=nxn-1 The Product…
Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx
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Q: 1. I. Evaluate each determinant. -5 -3 3 -4
A: Given, -5-33-4
Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…
A:
Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°). What is the component form…
A: We want to find component form of the vector.
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