ㅎ퇴근 (2-+= (2 근 V3

Q: The solution to the vector differential equation
 r' (t) = (4e4t , 3t2) given r(0) = (2, -1) is

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Q: Express the given quantity in terms of sin x or cos x. 3π ( 2 + x cos O A. - sinx O B. sin x OC. O…

A: Given; Cos(3pi/2 +x).

Q: Find the domain and range of the function. - 3 √√2+1 g(z) =

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Q: Find the domain and range of the function. -8 √2+1 g(z) = O A. D: (-1,00), R: (-∞0,0) OB. D: [0,00),…

A: Given: g(z)=-8z+1

Q: If f(x)=2x² +8x-4, find the following value. f(9)-f(-6) 9-(-6) 0

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Q: 5 Given that f f(x) dx = 13, evaluate the following integrals: (a) f3 f(r) dr = 3 (b) f f(x) dx (c)…

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Q: Evaluate the integral. 2 1 t+= O A. O B. O C. O D. 37 2 dt | 6 56 15 2 29 6

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Q: Given f(x, y) = 100x + 80y - 3x² - 4y² - xy, evaluate f(2, 3). Answer exactly.

A: Here given function f(x,y)=100x+80y-3x²-4y²-xy For the value of f(2,3) we have to replace x by 2 and…

Q: Find y''. X y = 4 cot (76) 10 O A. OB. 2 25 O C. - 8 csc O D. CSC 2 5 2 CSC 2 X 10 X 10 X 10 cot X…

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Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: The remainder of this question concerns the complex numbers z₁ = 3+j3 and Z₂ = -1-j -j2. (b)…

A: Disclaimer: according to students we will solved only d and e parts  Given: z1 = 3+3j    z2=-1-2j

Q: Solve the following differential equation (tan(x)-4sin(x)sin(y))dx+4cos(x)cos(y)dy=0 ?=constant

A: The given differential equation is; (tan(x)-4sin(x)sin(y))dx+4cos(x)cos(y)dy=0

Q: Solve the initial value problem. dy dx +6y-8e-3x=0, y)= The solution is y(x) = 5

A: To solve the following initial value problem.dydx+6y-8e-3x=0, y0=53

Q: (a) S (3x-2)dx x²+2x+17

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Given that 7 ≤ f(x) ≤ 9 for -2 ≤ x ≤ 2, estimate the value of ≤ [² f(x)d f(x)dx ≤ f [ ²³ f ( ²…

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Q: At what points is the function y = x 2 x+8 10x + 16 continuous? Describe the set of x-values where…

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Q: Let f(x) ƒ'(x) = = f'( − 2) = - 2x - 1). Compute each of the following.

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Q: K vork Let lim f(x)=17 and lim g(x)= 12. Use the limit rules to find the following limit. X-9 x-9…

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Q: Q3. Convert the following numbers into decimal: A. 67 8=? 10 B. F3A5 16 = ? 10 C. 120103 = ?10

A: Topic - Change of base We are given 3.)A. (67)8 B.)(F3A5)16 c.) (12010)3

Q: 2 (x)=√x+16. a=3

A: Topic:- application of derivatives and calculus

Q: Find the derivative of y with respect to the appropriate variable. y = (5 – 50) tanh -10 O A. O B. O…

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Q: Find the derivative of y with respect to the appropriate variable. y= (3 – 30) tanh -10 O A. O B. O…

A: Solution is given below:

Q: a. Find the general solution of (D² + 4)y = 0. y = C₁ cos2x+c₂ sin 2x y = C₁ cos x + C₂ sin x…

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Q: 2. Find the higher order derivative: first, second, third, and fourth derivatives of the given…

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Q: 05 * If(x+p) is a factor of both a2 +16a +64 and 4x2 +37+k, where p and k are nonzero integer…

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Q: Find the work done by a force F = 4i-8j + 7k that moves an object from the point (0, 8, 8) to the…

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Q: Solve the initial value problem. dy dx 5 +6y-8e-3x = 0, y(0)=3 The solution is y(x) =

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Q: Find the distance between -7 and 9 on the real number line.

A: We have to find the distance between -7 and 9 on the real number line

Q: Find the equation for the plane through the points Po(-2,-2,3), Qo(3.-3,-5), and Ro(-5,3,0). Using a…

A: We will find the required equation of plane.

Q: Evaluate the integral using integration by parts. √2x4e-4x dx √2x²e-4x dx =

A: Given: ∫2x4e-4xdx

Q: 3. Find the indicated limits. Use DNE,,or-xif appropriate. C 2-5 3x *+2 X+2 d. lim

A: The given limits are, a) limx→5-x-1 b) limx→1-x-1 c) limx→-2-3xx+2 d) limx→1+41-x. We have to find…

Q: The escape velocity is the minimum velocity with which an object must be propelled in order to…

A: Escape velocity is defined as the minimum velocity that is required by a moving body to escape the…

Q: Find the derivative y = (10 – 100) tanh of y with respect to the appropriate variable. 0

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Q: 9. 49x² + y² = 49 Equation vertices: co-vertices: foci:

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Q: Solve for the general solution: (D² + 2D - 8)y = C O y = cle^(4x) + c2e^(-2x) O y = cle^(-4x) +…

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Q: Consider the points below. P(3, 0, 3), Q(−2, 1, 5), R(7, 2, 7)

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Q: 10 -8 to 10 8 400O -10

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Q: Find the area of the region bounded by the parabola y = 4x², the tangent line to the parabola at (1,…

A: given   y=4x2tangent line to parabola at (1,4)

Q: Determine the Standard and General Equation and other parts of the Ellipse given the Foci (2,1) and…

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Q: Create a table of values for the function X f(x) 2 lim x→0 x³ -0.1 -0.01 -0.001 0.001 0.01 0.1 Use…

A: To create a table of values for the function limx→0 2x3 x -0.1 -0.01 -0.001 0.001 0.01 0.1 fx…

Q: Find the general solution of the differential equation y' + 10xy = 0 using separation of variables.…

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Q: = The triangle inequality assures us that ||ỷ + w|| ≤ |||| + ||w||. Let v = (2, -3) and find a…

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Q: Use Separation of Variables to find the general solution. x²y' = 3xy (Express numbers in exact form.…

A: A detailed solution is given below.

Q: Write the equation of the line that passes through the given point and has the given slope. 3 (-1,…

A: Given: Point (-1, 4) and slope = -3/4 we know that equation of a line passing through x1,y1 and…

Q: K- Find the limit. lim (3x-√√9x-2x+2) 818 OA. -00 B. 3 O C. -6 OD. O

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Q: Find the value of the trigonometric function. Round off the result according to the provided table.…

A: To find the value of the following trigonometric function.  To round off the result according to the…

Q: 4x² + y² -8x+4y=8 Equation vertices: co-vertices: foci:

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Q: 3. [-/7 Points] Complete the table. (Round your answers to four decimal places. Assume x is in terms…

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Q: Use Separation of Variables to find the general solution. 2y + 5y = 5 (Express numbers in exact…

A: 2y'+5y=52dydx=5-5y2dydx=5(1-y)

Q: 4. If cot(B) = = -and 7 and sin(B) < 0, determine the exact value of cos(B).

A: If cotβ=-27 and sinβ&lt;0, then to determine the exact value of cosβ.