Question 12 of 12 >> Find all values of e such that the limit exists. lim x² + 6x + c x-1 (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic m where needed. Enter DNE if there are no values of e such that the limit exists.)

Q: Let f(x)=x3−3x2−9x+25. Use the derivative f′(x)=3x2−6x−9 to determine the following values for f on…

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Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

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Q: a) pair (4,-6) & (-6,9) b) pair (2,-3,1) & (4,-6,3) c) pair (6,-5,1) & (3,4,2)

A: To determine whether the following pairs of vectors are parallel, perpendicular or neither. a pair…

Q: 5) Calculate the area in square units, bounded by g(x)= 4x+8_and_f(x)=x² +19x+62 over the interval…

A: NOTE: Refresh your page if you can't see any equations. . here we have  and the interval is  so…

Q: π.χ. Evaluate the integral 8x sin y dy dx. 00 The value is. (Type an exact answer, using as needed.)

A: The given integral,    ∫0π∫0x8x siny dy dx

Q: find differential equation of the following equation 2) (1 + x²)dy + (y-tan ¹(x))dx=0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: -10 -9 -8 -7 -6 Component Form: v = Magnitude of v: ||v||=| Direction of V: Ov = -5 -4 -3 -2 -1 y 10…

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Q: 6.) Find the local extrema and saddle point(s) of f(x, y) = x²y-6y²-3x².

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Q: Evaluate the integral. (Use C for the constant of integration.) [(sec²(t) i + t(t² + 1)² ₁ + t²…

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Q: Show that the interval of convergence of the Series 2n-1 27-1 (4-3) IS given by -544/2 SWE

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Q: arbor during a certain 24-hr period is approximated by the function 2]. + 7.9 (0 ≤ t ≤ 24) esponds…

A: The rare of change of a function f(x) at x=c is f'(c)

Q: et the vector v have an initial point at (-6, -2) and a terminal point at (-6, 2). etermine the…

A: Finding the vector V

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: Given problem:-

Q: y = e²x and x - 2y + 5 = 0

A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

Q: Ship A leaves port sailing west at a speed of 30 mph. Six hours later, Ship B leaves the same port…

A: Given dxdt=30dydt=35

Q: A tank in the shape of an inverted right circular cone has height 7 meters and radius 2 meters. It…

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Q: Find the center, foci, and vertices of the ellipse. Graph the equation. (x+5)² (y-4)² = 1 16 4 +

A: Given: x+5216+y-424=1

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

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Q: Suppose that f(x, y) = y√√³+1 on the domain D = {(1, y) | 0 ≤ y ≤z≤ 4}. Q Then the double integral…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Suppose that f(4) = 2 and f' (4) = -1. (a) h(x) = (2x². 2x² + 31n (f(x)) h'(4) = (b) h(x) = 20f(x)…

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Q: Solve - cos2 - sin²x = 1 on the interval 0 < x < 2T. O 3π 2' 2 O no solution O 0, T O 0, T, 2T

A: The given equation,    -cos2x-sin2x=1 on the interval 0≤x≤2π

Q: find Sexcos'x dx by using integral by Parts.

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Q: Which of the following accurately described the parametrized surface below? O paraboloid O cone O…

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Q: Evaluate the double integral over the given region R. xy SS dA x² + 1 R xy SS dA= x² + 1 R (Type an…

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Q: (D² - 2D+5)y=e* cos x

A: I am attaching image so that you understand each and every step.

Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

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Q: lin x→ Sin 2021x Sin 20222

A: We have to find the limit

Q: Suppose F(4)=-4, f(x)cos F(x) dz F(5)= 3, and F'(x) = f(x). 3 cos (3) +4 cos(4)

A: We can evaluate the given integral by using the substitution u= F(x).

Q: 18 1510 18 50 Change the Cartesian integral - Change the Cartesian integral into an equivalent polar…

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Q: x²y" + 2xy' 6y = 0 -

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Q: 5. Find the volume of the solid in the first octant bounded by the two cylinders x²+y²=4 and…

A: I am attaching image so that you understand each and every step.

Q: 6e at x-b First find where the two curves meet. y = 5e" meets y = 6e where b Then Area = - f(x) dx…

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Q: Find the divergence of the following vector field: 0 O 2z O O F = (y, -x + z², 3x)

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Q: 50° E 30° D In the figure above, line segment AC is tangent to the circle with center O at point B.…

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Q: Prove that x + 3 is odd if and only if x² is even.

A: Proof: x+3 is odd  Let x+3 = 2k+1

Q: The scale of a map measures 1 inch: 1250 miles. If the distance between two cities measures 3 inches…

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Q: y = ln x and x-y-4 = 0

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Q: Differentiate and simplify this function k (t) = e√t^2+t+1 - e-√t^2+t+1

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Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A: There are three methods to find the volume of a solid generated by revolving a curve f(x) about a…

Q: The shaded region between the graphs of y=-22² +20 and y = 3x - 15 is displayed below in orange. -40…

A: Area of a region is given by ∬dydx, when the rectangle is choosen parallel to y-axis.Area of…

Q: Find the area of the region that is outside the cardioid r = 7(1 – sin ) and inside the circle r =…

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Q: Find the position vector for the vector v, whose initial point is (0, −2) and terminal point is (5,…

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Q: Determine the following limit at infinity. lim f(x) X→∞ 9(x) if f(x)→700,000 and g(x)→∞o as x→∞ Find…

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Q: The question is in the image attached

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Q: For the function f(x) (X^2-3 if -3 ≤x2 C) is f continuous at x=2? D) does lim f(x) exist at x->4^-?…

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Q: Using Ratio Test the following series +∞ (n!)² Σ 3n n=1

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Q: 2. Evaluate r sin rdr using integration by parts.

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Q: P-4 Use separation of variables to find the product solution of the following a) ди ди b) J2u 02u y…

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Q: 1. Evaluate the following limits: 4. lim x→2 sin(4x-8) 4x-5x-6

A: Ans - In this question, we will find the limit of the given expression.

Q: X+5x+1 After decomposing the rational function x³-6x²+9x into partial fractions without evaluating…

A: Given problem:-