Partial derivatives Study guides, Class notes & Summaries

UNISA MAT1512 Calculus A Assignment NINE of 2021 solutions. October November 2020 past paper. Where possible, alternative methods are used. Topics covered: Limits at a finite point. Limits at plus/minus. Limits from the left/right hand side. Continuity. Curve sketching. Integrals. Integration. Simplify then integrate. u-substitution. Definite/indefinite integrals. Area in between curve. Initial value Ordinary differential equations. Differentiation. Derivatives. Derivative from ...

QUESTION 1 (a) Determine the following limits (if they exist): (i) (3) (ii) x  2 lim 3  x 1 2 (3) x 3 x  9 (iii) (iv) lim x  2x lim 1  x (3) (3) (v) x  1 lim 1  x 2x (3) (vi) lim sin t  tan 2t (3) t  0 t (b) Use the Squeeze Theorem to determine the following limit: 5k 2  cos3k lim 2 . (3) ...

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How is the primitive gut tube formed? -through craniocaudal and lateral folding of the embryo via the incorporation of the dorsal part of the yolk sac into the embryo The primitive gut tube extends from the oropharyngeal membrane to the cloacal membrane and is divided into... -the foregut, midgut, and hindgut Compare the adult vs. embryonic histology of the GI tract. -adult: mucosa (epithelial lining and glands, lamina propria, and muscularis mucosae), submucosa, muscularis externa,...

Symptomatic therapy is? a. Using the substances which the organism is not able to produce in sufficient amounts b. Destroying the ethiological agent causing disease (antibodies against bacteria) c. Treating the symptoms d. Using very low drug concentrations (subliminal doses) for treating diseases c With regard to drug- receptor binding: a. A competitive antagonist has no intrinsic activity b. A partial antagonists has less receptor affinity than a full agonist c. KD (the dissociation c...

migraine: what is it? associated with what symptoms? (2) triggers? (3) more common in? recurrent head pain - nausea and sensitivity to sound or head movement - caffeine, red wine, MSG more common in women what is the priority care of migraines? pain management - drug therapy (abortive or preventive) migraine aura examples (symptoms) - 8 how long does it last? lasts several minutes to 1 hour - visual disturbance - flashing lights - numbness of lips/tongue - acut...

Jacobian How to use the chain rule? When you have a composition of functions (dw/ds, dw/dt)= (df/du, df/dv)(du/ds, dv/ds, du/dt, dv/dt) so it gives a vector Classify critical points 1. differentiate WRT each variable x and y. 2. set them equal to 0. then solve for the values (often take the equation that is easy to factorize and take its values. 3. replace the values obtained in the other partial equation set equal to 0 to get the points ***trick: you can add the equations some...

Math 249- Exam 2 key words expected in exam 2022-2023 latest update University of Calgary Partial Derivatives quotient - fx(x,y)=f(x+h,y)-f(x,y)/h Tangent Plane Eq. - Fx(a,b)(x-a)+fy(a,b)(y-b)+f(a,b) Gradient Definition - fx(a,b)i+fy(a,b)j+fz(a,b)k Properties of the Gradient - - maximized when u is // - minimized when u is anti-// - equals 0 when u is perpendicular - exists perpendicular to level curves -gradF ° u = directional derivative Linear Approximation - use gradient t...

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