e) Use (; a²p Find the value of Vm at which both of these deriva- T to find aVm tives are zero.

Q: Find the onthogonal trg ectories of y(sy +c) = I.

A:

Q: Use the error bound for the trapezoidal rule to find the smallest N such that the error in…

A:

Q: M R. Use a coordinate proof to prove that midsegment MN of APQR is parallel to PR and half the…

A: option D: Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the…

Q: ) Given : Quad rilateral RSTV with diagonals RT and su intersecting at w Prove : mLT+mLa= m23 tm<4

A: In the quadrilateral,                  ∠VWR=∠TWS.

Q: B is the midpoint of AC BD 1 AC Given: B Prove: AADC is isosceles A

A: Given The B is the midpoint of AC¯  and BD¯⊥AC¯ .

Q: Use the trapezoidal rule with n = 5to estimate V7 + y³dy

A:

Q: Q\. Find the point (agy) of n?t14ay+ 4942=100 that is ,closest, to the lies in the firdt quodrant.…

A:

Q: Which integral computes the circumference of the ellipse +y? = 1? 2 216-322 16 – 4x2 dx 16 — З2? -…

A:

Q: Show Whát You KhOw: Properties POSSIBLE AC = 36 cm, and BC = 27 cm. A Verify that DE || AB- 20 cm C…

A: Solve the following

Q: 2, The hadiusS r of a sphere is increasing as a vate af 3amimin. Find the rate af Ghane e Of Ahe…

A:

Q: Among all rectangular boxes defined by the inequalities 0 ≤x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ 1, find the one…

A:

Q: Given: MT and HA intersect at B, MA  HT , and MT bisects HA. Prove: MA ≅ HT

A:

Q: Calculate the trapezoid approximation of o xdx using four subintervals. O T5 = 21.52 O T5 - 23.25 T5…

A:

Q: is a trapezium such that 4A BCD DC=3AB. 1f L ond M are the mid points AD and B C respectively, Shaw…

A: It is given that ABCD is Trapezium. such that DC=3AB, If L and M are The mid points of AD and BC…

Q: D is the mid point of the side ВС of ДАВС;B ВЕ is perpendicular from В to the external bisector of…

A:

Q: In the figure at the right, WY bisects UV at Y and UY bisects TW at X. For each situation, find the…

A: WY¯ bisects uv at y= UV¯ = YV¯---(1)UY bisects TW at x¯ wx =Tx ----(2)b) UY¯ = 4x -3YV¯ = X from…

Q: Use the diagram shown. C 丰 丰 F E A Which is a nieeded step to prove that AABF AEDG OA ZBCD LBCD OB.…

A:

Q: @ Consider the task of approximating 3x2 using the Compoute trapezoidal rule. How large should n and…

A: The error term in the composite trapezoidal rule is  h212b-af''ξ , where h=b-an Given f(x)=e-3x2…

Q: Find the value of c such that the regionbounded by y = c sin x and the x-axis on the interval [0, ∏]…

A: Given y = csinx and the region bounded by y = c sin x and the x-axis on the interval [0, π] has area…

Q: By making an appropriate change of variables, evaluate the double integral = (x + y)e*-Y dxdy where…

A:

Q: Use the method of undeterminad Coefficiento to slve the initial valene proalem : yo +Qy'+5y=cin…

A: The given initial value problem is              y''+2y'+5y=e-tsin(2t)  , y(0)=1, y'(0)=0 We find the…

Q: The norm of the set {cosh(i nn x},n E N, –-2<x<2 in the Hermitian sense is:

A: Given,                  cosi nπx, n∈ ℕ, -2≤x≤2

Q: Calculate the middle rectangle approximation of , Vxdx using five subintervals. O M5 = 0.624 M5 =…

A:

Q: Find the mZR in trapezoid QRST where QT||RS below.

A:

Q: (b) Apply the method of contour integration to prove that (2m de 2n Jo 2+cose 3

A:

Q: 2 Evaluate the fullowng cartesianntegrat changing theminte equivalent Pelarintegrals: Fー dxdy 2-

A: We have to find the double integral using polar coordinates.

Q: In the Fgure belcw, mL2=41? Find m ZI Im %3D

A: Topic:- right angle

Q: Given: S is the midpoint of RT ; PR = PT Prove: ΔΡRS ΔΡTS R S T

A:

Q: YZ is the base of an isosceles triangle; XA || YZ Z1 = 2 Given: Prove: A 2

A: Given: YZ is the base of an isosceles triangle XYZ. YZ is parallel to XA as shown in the given…

Q: Given: S is the midpoint of RT, PR = PT prove: ΔPRS ΔΡΤS

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: ABCD is a trapezium such that DC = 3AB. If L and M are the midpoints of AD and BC respectively, Show…

A: Given data: The bigger length of the trapezium is DC=3AB. The below figure represent the trapezium…

Q: The ________ ________ is derived from the Pythagorean Theorem.

A: We know that, The distance formula is derived from the Pythagorean theorem.

Q: Prove that (x+) ) is the rolution on the dipporen tial equation y'+ y-e 9= C,e*+ C2x + Cg, y" - 4 y"…

A:

Q: Find X,zandy such that As Skew Symmetric.cuhere A=10 221 3+4 W. L32

A: A square matrix A is said to be skew-symmetric if and only if AT = -A. Note that all the elements of…

Q: Let X - Y (3, 0.02). Given Ttx = 300 calculated by the Esscher Premium Principl %3D

A: From the given information, X~γ3, 0.02 fx=0.023γ3e-0.02xx3-1, x&gt;0       =0.000004e-0.02xx2,…

Q: What is the measure of BCD AB is tangent to C at point B AD is tangent to C at point D

A: Find angle BCD=?

Q: Evaluate /// xe²+y²+z² dV, where E is the portion of the unit ball x2 + y? + z2 < 1 hat lies in the…

A: Given The given integral is ∫∫∫Exex2+y2+z2dV E is the portion of unit ball x2+y2+z2≤1.

Q: 8. ABCD is a trapezium such that DC 3AB. If L and M are the midpoints of AD and BC respectively,…

A: Take length of AB as x and the DC becomes 3x. Also draw dotted lines from A and B to create four…

Q: 5. Given: C is the midpoint between C Prove: B E I

A:

Q: let A and B be matiices of Con det A) = -1 find the Valué of Cdet(z AT) - dct(-2B )) LA Pproxi mate…

A: Given:- det(A) =-1/2   ,  det(B) =2/3 To find:- [det(AT/5) -det(-2B-1)]2

Q: The volume V of a cylinder of height 4 cm and radius r is given by: V = 4ar? What is the…

A:

Q: B- Use the Trapezoidal rule with n=2 to estimate dx, to find the absolute relative true error |E,?

A:

Q: Use the trapezoidal rule with n = 2 to estimate - dz. Hint 1 Set Ar = -. The endpoints of the…

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2 f(x0) +2 fx1 + 2fx2+...+2fxn-1+fxn ; where ∆x = b-an.

Q: O, Solve the foluing differanital equehins -1 Ĉ (-o + g(t)), with ☺ (to) - 0, ? %3D dt

A: In this question we have to find the solution of the ODE.

Q: (R, d), where d(r, y) = |r – y|, is separable. %3D

A:

Q: Find the raclius af cunvature af the cuTYes : 1- Y: 2ti + CIA)j -2tk ot (2,1,-2). Y ti +ti +tk at…

A: Here we have to find the radius of the curvature of the curve,  1) r=2t i+1t j-2t k at 2,1,-2 2)…

Q: F is the measure of ZDGH? 5.

A: Given ,  The diagonals of square DEFG intersect at point H We hace to the measure of ∠DGH

Q: Given: APQR has a right 2Q. M is the midpoint of PR. Prove: MP = MQ = MR

A: