Construct a table and find the indicated limit. x³ +343 X+7 lim X→-7

Q: = Find the area of the region bounded by the curves y on the interval [0, 1] as seen in the shaded…

A: This question can be solved using the concept of area bounded by curves.

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

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Q: Q2: Solve the following integrals: (3) dx

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Q: If y₁ and y2 are linearly independent solutions of ty" + 4y' + te³y = 0 and if W(y₁, y2)(1) = 4,…

A: Need to find out the Wy1,y24

Q: Question 3 Find the Wronskian of two solutions of the differential equation t²y" — t(t − 2)y' + (t −…

A: To find out the wronskian without solving.

Q: Find the solution to the initial value problem. dy = 2√√√√t, y(1) = 7 dt y(t) =

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Q: • The orthogonal trajectory of the equation given below is already given. What is the value of "n"?…

A: The given equation x2+3y2=r2

Q: L) Prove that (3-2)(x+2) = 3 +21 iFitwas

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Q: find the standard equation of the sphere with center (4,3,3) and radius 7

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³; (2)y=tan³ √/cot(7x); cash? -nh.…

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Q: Simplify the following witfacet casing the conjugates of the debominator 1-) 25 3+4i

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

A: The function is c(x)=2x2-12x+17. Then we have to answer the following... The graph of the function…

Q: Answer the following questions for the function f(x)=x√x²+1

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Q: valuate the following double integral over the region R by converting it to an iterated integral. Se…

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Q: 0/= log10 (x) dx

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Q: Use the tabulated values of f to evaluate the left and right Riemann sums for n = 10 over the…

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Q: ΒΣ 3 Θέλη

A: 3.The given series ∑n=0∞3.12n

Q: Find the general solution of the following differential equation. y" − 14y' + 40y = 0 NOTE: Use c₁…

A: Find the general solution of the following differential equation. y" — 14y' + 40y = 0

Q: Solve the given initial-value problem. y" + 6y'7y= 11e²x, y(0) = 1, y'(0) = 1

A: Given :y''+6y'-7y=11e2x

Q: 3. y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'- y"=0 - y' -…

A: Given :y=2x2

Q: 013 Verify that the function satisfies the two hypotheses of Mean Value Theorem on the given…

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Q: Graph the function and the indicated tangent line. Graph f(x) = -4x2 and the tangent line to the…

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Q: Q3: Evaluate the following integrate: (chose three only) 1. dx 1+x4 2. ex-edx ex+e-x 3. fxsec² x dx…

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Q: Find all points where the function is discontinuous. Ox=1 O None O x = -2 Ox= -2, x = 1 →→x

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Q: Use the figure below to find the exact value of the trigonometric function of angle A. sin (A) 6 A…

A: it is very basic question of trigonometry.

Q: (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j-k, find: (iv) (3A + 4B).C (i)A.B (ii) B.C…

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Q: 7x (x+3)³ a. Find lim F(x). X-3 Let F(x)= b. Find the vertical asymptote of the graph of F(x). c.…

A: F(x)= 7x/(x+3)3  a) find the limit of F(x) when x tends to -3 .  b) find the vertical asymptote of…

Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

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Q: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

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Q: The figure to the right shows four regions bounded by the graph of y=x sinx: R₁, R₂, R3, and R4,…

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Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: Given: cosx+tanxy+4=3We need to find dydx.Recall the formulas: ddxcosx=-sinx…

Q: 3): Find the tangent equation to the curve y = sin² x at point x =

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Q: 62. y + y = 22 +10x X

A: To find out the general solution of the differential equation.

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: given u= and v= find the projection of u onto v

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Q: Approximate the area of the region bounded by the graph of f(t) = cos (t/2/2) and the t-axis on…

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Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = How does the…

A: We have to solve the initial value problem 25y'' - 40y' + 16y = 0 y(0) = 2 & y'(0) = 3

Q: x-1/2c (4) y = x sinh 2x – cosh 2x

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Q: Find the radius of convergence for: 6nxn n! n=1

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Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

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Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.

Q: 12 - y+ ] - dy = |+C

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Q: Q2: Solve the following int (1) dx 1 (x+3)(x+7)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Find the trigonometric integral. (Use C for the constant of integration.) Star tan(0) sec³(0) de

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Q: 04: Answer two only: (A): IF A-2 10 1-2 -1 Find AB and AC. 3 and C-0

A: Given :A=420210-2-11B=2312-2-2-121C=31-3026-121

Q: find the distance between point (-1,1,3) and the plane 5x-5y+3z=25

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Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7.

A: I have stated the used formulas in the solution