Find all values of x and y such that fx(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 5xy + y² - 15x-27y + 23 (x, y) = (No Response)

Q: Find all the zeros. Write the answer in exact form. q(x)=x²-₁ -7x+14x-6 If there is more than one…

A:

Q: Evaluate the double integral. Sxy² da, D is enclosed by x = 0 and x =

A:

Q: Prove the identity. 1+ tan 0 1- tan 0 1- tan 0 =0 19: + To verify the identity, start with the left…

A:

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 2x 7e…

A:

Q: Find 10 partial sums of the series. (Round your answers to five decimal places.) 00 n=1 15 (-2)^

A:

Q: 3. y = √(1-x²³ √1-22

A:

Q: If n(A) = 106, n(A ∪ B) = 141, and n(A ∩ B) = 46, find n(B).

A:

Q: 1. y = x-3 2x³+x²-18x-9

A: As per our guidelines we are supposedly to  only one question. Kindly repost others question as a…

Q: Find the instantaneous rate of change for the function at the given value. g(t) = 2-1² at t= -6 The…

A:

Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

A:

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

A:

Q: 18. if f(x) = 2x² + 3x² - 4x-5 X+1 Suggested Table X f(x) -1.1 -1.01 -1.00 find X-7-1 f(x) = ?…

A: The given function,  fx=2x3+3x2-4x-5x+1

Q: f" s [0, π]. Also, find the smallest value of x at which the average value occurs. Given that sin…

A:

Q: Use the figure below to find the exact value of the trigonometric function of angle A. cos(A) 0.49 X…

A:

Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -

A:

Q: ƒ (t) = (sin(t) — ¼ t³)³ - 3 9 g(y) = (2y — 5)-4 — 2² (2y – 5)-² -5 f(x) = (√x + x)¯°h(x) where h(x)…

A:

Q: Find the indicated limit by using the limits lim (x,y) → (a, b) [f(x, y) - g(x, y)] lim (x, y) → (a,…

A:

Q: Find the volume of a sphere pyramid of height "h" and base edge of length "a"

A:

Q: Find z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

A:

Q: Function: w = y3 - 3x2y, x = es, y = et Point: s = 2, t = 2 Find del w/del s and del w / del t using…

A: If w=f(x,y) and x=g(s) and y=h(t) then,          ∂w∂s =∂w∂x.∂x∂s+∂w∂y.∂y∂sand         ∂w∂t…

Q: Find all values of x and y such that fx(x, y) = 0 and f(x, y) = 0 simultaneously. f(x,y) = 2x³ 14xy…

A:

Q: Find the area of the given region. y = sin(x) y 2 R|4 + + T Зл T

A: In this question we have to find the area of the given region.

Q: Use L'Hopital's to determine the limit. lim Oo O1 ○ -1 enx ~|-1 as x approaches co

A: This question can be solved using the concept of L' Hopital's Rule and derivatives.

Q: Prove the identity. 2 sin 20 cos 20+ cos 40=1-sin 40 To verify the identity, work each side…

A: sin2θ+cos2θ = 1.

Q: Ꮎ Given that sin 0 = 0.3356 and 0 is in quadrant I, find sin 2 Ꮎ 2 (Round to four decimal places as…

A: using trigonometry identity and half-angle formula,

Q: Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point…

A: Let f be continuous over a,b and differentiable over a,b. Then there exits at leastone point c∈a,b…

Q: Find the total differential. z = ex tan(y)

A:

Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4?…

A: The graph of the function y = f(x). With the help of this graph, we have to show that, Is the…

Q: 6. Σ(-1)n-1 sin (2) n=1

A: Explanation of the answer is as follows

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

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

A:

Q: Consider the function on the interval (0, 2). f(x) = 2x + 4 sin(x) (a) Find the open intervals on…

A:

Q: nd an equation of a plane passing through the following 3 points (1,-1,-1), (-4,1,4), (3,5,3)

A: topic- equation of plane through three points equation of plane passing through three points…

Q: e) x - 4y= 26er r

A:

Q: find an equation in rectangular coordinates for the equation given in cylindrical coordinates r= 2z

A:

Q: A hemispherical dome has a diameter of 700 m. A search light was placed at a point A located at the…

A: The solution is given below

Q: Express the following as a linear combination of u =(3, 1, 6), v = (1, -1, 5) and w = (4, 2, 4).…

A: To write down the vectors into the linear combination of the given vector.

Q: 8. n=1 (−1)n-1 n². 2n (error] < 0.0005)

A: Solve by adding partial sums

Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

A:

Q: 2/4 + ²/81 + ²/1/729 t. Ⓒ274

A: 2.Solution:29+281+2729+.......29+292+293+.......this series is geometric series.Common…

Q: ind the area bounded by y = sinx - e*, the x-axis and the lines x = HT onfe 10 7 juo 44 KI4 x = ².…

A: This question is based on definite integral.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. a)…

A:

Q: Question 12 a)! Let C be a curve defined by the vector equation r(t)=. P(32, 52, e³2) Show that the…

A:

Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)

A:

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

A: In this question we have to find the value of b and c.

Q: p = 3 csc()csc (0)

A: find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES  p=…

Q: Use L'Hopital's to determine the limit. lim 0 0 1 1-cos x I O sin x COS X as x approaches 0

A:

Q: Rewrite the following equation with the variables separated. 3√t + y² dy = 6 dt o y² dy = (6 + 3√t)…

A: Please see the below picture for detailed solution.

Q: w = sqrt(25-4x2- 4y2) ,  x=r cos(theta) ,  y=r sin(theta) (b) Find del w / del r and del w / del ?…

A:

Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series. (1)…

A: (1) The given series is ∑n=1∞n(x-1)n