Find all values of c such that fis continuous on (-∞,). C= 7-2², a se - ذکر (smaller value) (larger value)

Q: Find the derivative of the function using Chain Rule. f(x) = (2x-5) ¹ (4x+3) Given -2(12x-17) Answer…

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Q: of [ $ Example 29 a If the determinant of 5-3 3 is equal to 21, what is the value of x?

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: ssume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

A: A  force 540 Newton stretches 3 meters .a mass of 45 kg  is atteched to the end of the spring and is…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

A: keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

Q: □ on show that f(x)= 3x is inte the integralble definition. I043 uning [0,4]

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Q: Find the average value of the function over the given solid. The average value of a continuous…

A: Average value of the function = 1V ∫∫∫E f(x,y,z) dzdydx .

Q: Verify Green's Theorem by evaluating both integrals (ON-OM) d [[ y² dx + x² dy = √ √ ( ³x for the…

A: In this question, we want to verify the green's Theorem for the given integral.

Q: Determine the region R in the xy-plane that minimizes the value of JJ (x² + y² - 8) dA. OR={(x, y):…

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Q: The equation implicitly defines z as a function of t. Find dz dt +² 22 - sin (5 z) = -8

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Q: Let f(x) be defined by Find f'(1). f(x) = (2x - 1).

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Q: 2e³y - ²x + 2y - 4

A: We will find the critical points.

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Given: f(x)=1+3x-5x3

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = 8x-4xy+3y,…

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Q: (4x²y² - x² + 4xy² - x) dx + (2xy + x + 2y + 1)dy = 0

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Q: Find div(F x G) = V. (F x G). F(x, y, z)= i + 7xj + 8yk G(x, y, z) = xi - yj + zk

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Q: Consider the following. y 4 3 Find its foci. 2 1 -1 -2 Find an equation of the ellipse. smaller…

A: we need to find the equation for ellipse

Q: 5 Find the equations to both lines through the point (2,-2) that are tangent to the parabola y = x²…

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Q: work. a) ( i) Find the exact length of the curve 1 <2

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Q: A farmer wants to enclose a rectangular area with 400 feet of fence. In order to maximize the area…

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Q: 2. S (5x-12) dx x³-6x²+8x

A: Given, ∫5x-12x3-6x2+8xdx

Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

A: Given equation:- x5-x-5=0 , x1=1

Q: -1 O -5 -10 -4 2, IP 2 IP 3 4 10 5 X X -1 y 10 -1⁰ IP 2 3 4 X -5 -4 -3 IP -2 -1

A: Topic:- application of derivatives

Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: Determine whether the equality is always true -10√x-9 (x-9)² f(x, y)d ydx = ₁ + f(x, y)dx dy. ²+9…

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Q: y = x², y = 4x - x²

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Q: 2. Simplify the following logarithms and If possible, write the following as a single logarithm. 1…

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Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

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Q: Given f(x) = √√x and g(x) = x² - 9, evaluate each expression. (a) f(g(3)) (b) g(f(3)) (c) g(f(0))…

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Q: Find all x-intercepts and y-intercepts of the graph of the function. f(x) = 2x³ + 12x² + 16x If…

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Q: ƒ(x) = (x³ – 4x) 10

A: Solve the derivative

Q: Evaluate the following Rational Fractions -(3 cos² 0 + 8 cose-12) sin 0 de cos³ 0+7cos² 0+ 12 cos 0…

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Q: Sketch the region R and evaluate the iterated integral -1.0 O [²L²¹²- -0.5 (12x+8y) dy dx y 3 £₁ […

A: We can evaluate the given integral by using the integral formulas.

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: x=2x+1 y -2 4 3 2 > 2

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Q: a) (-²) lim x-0 3r b) = (₂) (72)" lim

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Q: Determine whether the vector field is conservative. F(x, y) = (7y - x²)i + (7x + y)j conservative…

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Q: The area of the region inside the circle r = 6 cos 0 and outside the cardioid r = 2(1 + cos), a > 0…

A: Given: the circle r =6 cos θ and the cardioid r=2(1+cosθ )

Q: Find the x-values (if any) at which is not continuous. Which of the discontinuities are removable?…

A: topic- limits and continuity

Q: need

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Q: Find the general solution of the differential equation y" - 2y + y = 7et 1+t2 NOTE: Use C₁ and C₂ as…

A: Given the differential equation is y''-2y'+y = 7et1+t2

Q: Find the derivative of f (x) = 30 6/2x+1

A: Given problem:- f(x)=-302x+16  TO Find:- Deriative of f(x)

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: Given 16y''-40y'+25y=0

Q: Take the derivative of  (x+y)3=3x-4y+5 with respect to the variable t . Do not rearrange and move…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides with…

Q: Use Green's Theorem to evaluate the line integral. √y² dx + xy dy C: boundary of the region lying…

A: We have to evaluate the integral.

Q: Integral Calculus (

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Q: Find the absolute extreme values of the function on the given interval. f(x) = 9x³ - 108x on [0, 5]

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Q: Verify Gauss Divergence Theorem for F = xy²î + yx²j+ek for the solid region D bounded by z = √x² +…

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Q: Graph the solution to the following inequality on the number line. x² +8x≥-12 Note that you ca…

A: First we will find the zeroes and then fix the interval.